1{"type":"atis-latch","atis":"","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}2{"type":"queue-operation","operation":"enqueue","timestamp":"2026-10-30T04:12:16.357Z","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","content":"Begin"}3{"type":"queue-operation","operation":"dequeue","timestamp":"2026-10-30T04:12:16.362Z","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}4{"parentUuid":null,"isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":"Begin"},"uuid":"c68950a3-9448-40ea-9f9c-41678404b446","timestamp":"2026-10-30T04:12:16.365Z","permissionMode":"default","promptSource":"sdk","turnOrigin":"sdk","turnPosition":{"promptIndex":0,"turnIndex":1},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}5{"type":"api-request-shape","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","timestamp":"2026-10-30T04:12:16.374Z","version":"2.1.314","shape":{"system":[{"type":"text","text":"You are Claude Code, Anthropic's official CLI for Claude, running within the Claude Agent SDK."},{"type":"text","text":"CWD: /Users/simon-pierreboucher/wp29/runs/RC0040\nDate: 2026-10-30\n\nYou are a research assistant executing one bounded scientific task inside the current working directory, which is your workspace.\n\nEnvironment facts (identical for every task):\n- The task statement is the file `TASK.md` in the workspace. It is the complete and only authoritative description of what is required: the scientific question, the inputs under `data/`, the required output files and their exact keys, and the information-availability rules.\n- There is no network access. Use the Python interpreter `~/wp29/venv/bin/python` (numpy, pandas, scipy, statsmodels, matplotlib are installed). Standard shell tools are available. Do not try to install packages.\n- Write every deliverable under `./out/`. The required deliverables are listed in `TASK.md`; at minimum they always include `out/results.json`, `out/report.md`, and a replication entry point `out/analysis.py` that regenerates `out/results.json` from `data/` when run with `~/wp29/venv/bin/python out/analysis.py` from the workspace root.\n- You are working alone and unattended; nobody will answer questions. Make reasonable, documented decisions.\n\nIntegrity rules (identical for every task):\n- Never fabricate numbers, data, results, or references. Every number in `out/results.json` and `out/report.md` must be produced by code you ran on the provided inputs.\n- Respect the information-availability rules in `TASK.md` exactly (for example, never use information that would not have been available at the stated decision time).\n- If part of the task cannot be completed as specified, say so explicitly in `out/report.md`, explain why, and still write every required file (use `null` for values you could not legitimately produce). An honest statement of a limitation is always preferred to a fabricated or guessed value.\n- Do not modify anything under `data/`.\n- When you are done, end with a brief plain-text summary of what you produced and any limitations.\n\nComplete the task described in `TASK.md` by following this research protocol. The protocol adds no scientific information to the task; it organizes how you work and what evidence you leave behind.\n\nPHASES (execute in order; a phase is eligible only when its dependencies are satisfied):\n\nP0 Scope and contract (depends on: nothing)\n- Read `TASK.md` completely. In `out/state/contract.md`, restate in your own words: the scientific question; the quantity or quantities to be estimated (the estimands) and the assumptions under which they are meaningful; every required output file and key; the information-availability rules; what would make the task impossible or the result invalid.\n- Write the initial phase ledger `out/state/phases.json`: a JSON object mapping each phase id (P0 … P5) to {\"status\": \"pending\"|\"running\"|\"passed\"|\"failed\"|\"blocked\"|\"stale\"|\"skipped_optional\", \"checks\": [], \"notes\": \"\"}. Keep it current as you work. A phase may only be set to \"passed\" when the checks listed for it in this protocol have actually been executed and their outcome recorded in \"checks\".\n\nP1 Data audit and provenance (depends on: P0)\n- Inspect every input file: compute and record its SHA-256, row and column counts, schema, units, date ranges, missing values, duplicates and anomalies in `out/state/data_audit.md`.\n- Keep an exclusion ledger in `out/exclusions.csv` (columns: step, rule, n_before, n_after, n_removed, rationale) for every filtering step you apply, so that n_raw − total removed = n_analysed.\n- Identify any input that violates the information-availability rules and decide, in writing, how you will handle it.\n\nP2 Baseline (depends on: P1)\n- Before any elaborate method, compute the simplest valid baseline that answers the question (for example a naïve or unconditional estimate), with the same evaluation rule used later. Record it in `out/results.json` under the keys the task requires, or under `baseline_*` keys when the task does not name them.\n\nP3 Method and computation (depends on: P2)\n- Implement the analysis in `out/analysis.py` so that it reads only `data/`, writes `out/results.json` deterministically (fix every random seed you use and record it), and prints nothing that contradicts the written results. Any figure or table must be generated by this script.\n\nP4 Verification (depends on: P3)\n- Re-run `out/analysis.py` from a clean state and confirm it regenerates `out/results.json` with identical values. Record the check in `out/state/phases.json` under P4.\n- Check internal consistency: identities that must hold (for example counts that must add up, standard errors that must be positive, confidence intervals that must contain their estimates, date orderings that must respect the information rules), units, and magnitudes against the baseline. Record every check and its outcome in `out/state/checks.md`. A failed check must be fixed or honestly reported, never silently ignored.\n\nP5 Reporting (depends on: P4)\n- Write `out/report.md` with the sections: Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues. Every quantitative statement must cite the key of `out/results.json` it comes from.\n- Write `out/claims.json`: a list of the central claims of your report, each as {\"id\": \"C1\", \"text\": \"...\", \"results_keys\": [\"...\"], \"status\": \"supported\"|\"unsupported\"|\"not_evaluated\", \"caveat\": \"...\"}. Do not state a claim in the report that is not in this ledger.\n- Set the final statuses in `out/state/phases.json`.\n\nSTOPPING RULES\n- Stop and declare the task complete only when every phase P0–P5 is \"passed\" with recorded checks. If a phase is \"blocked\" (missing information, impossible requirement, violated availability rule), stop, set the status, explain in `out/report.md` (section Limitations and open issues) and still write every required file with `null` for values you could not legitimately produce.\n- Do not spend effort on extensions that the task does not require.\n\nRECOVERY RULES\n- Append a short dated entry to `out/state/log.md` after each phase transition and after any important decision, so that work can be resumed by reading `out/state/`.\n- If you discover that an upstream input or decision changed after a downstream phase passed, mark the downstream phases \"stale\" and redo them; do not reuse stale results.\n- If you are interrupted and later resumed, first read `out/state/` and continue from the last consistent state; never re-run expensive steps that already have recorded, unchanged outputs.\n\nEXECUTABLE GATES (additional, mandatory)\n- A read-only gate program is provided at `~/wp29/gates/pgar_gate.py`. Run it from the workspace root as `~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py .` It checks the output contract of `TASK.md` (required files, keys, types, finite values, report sections, the claims ledger, the phase ledger, the exclusion ledger) and reproducibility (it re-runs `out/analysis.py` in a temporary copy and compares the regenerated `out/results.json` with yours). It never checks scientific correctness and it contains no reference answers.\n- You must run the gate at the end of P4 and again at the end of P5, and record each run's receipt (the gate writes `out/state/gate_receipts/<timestamp>.json`) in `out/state/phases.json`. You may not declare the task complete while the latest gate receipt reports `\"passed\": false`. Fix the reported problems and re-run the gate.\n- The controller will run the same gate after your session ends. If it fails, you will be resumed with the gate output and asked to fix the problems; each such cycle consumes your remaining budget.\n\nSEPARATE REVIEW (additional)\n- After the gate passes, a separate reviewer session that has not seen your work in progress will examine `TASK.md` and everything under `out/` and may return a list of issues (file `out/review/review.json`). You will then be resumed once to address them: fix what is justified, explain in `out/report.md` (Limitations and open issues) what you disagree with, re-run the gate, and update `out/claims.json` and `out/state/phases.json`. The reviewer has no reference answers; its role is to challenge unsupported claims, violated information rules, unverified computations, and inconsistencies between your report and your results.\n"}],"tools":[{"name":"Bash","description":"execute shell commands","input_schema":{"$schema":"https://json-schema.org/draft/2020-12/schema","type":"object","properties":{"command":{"description":"The command to execute","type":"string"},"timeout":{"description":"Optional timeout in milliseconds (max 600000 for a foreground command)","type":"number"},"description":{"description":"Clear, concise description of what this command does in active voice. Never use words like \"complex\" or \"risk\" in the description - just describe what it does.\n\nSay what the command does in plain words: do not echo the command's text, its flags, or file paths - the user reads this description, often without seeing the command.\n\nFor simple commands (git, npm, standard CLI tools), keep it brief (5-10 words):\n- ls → \"List files in current directory\"\n- git status → \"Show working tree status\"\n- npm install → \"Install package dependencies\"\n\nFor commands that are harder to parse at a glance (piped commands, obscure flags, etc.), add enough context to clarify what it does:\n- find . -name \"*.tmp\" -exec rm {} \\; → \"Find and delete all .tmp files recursively\"\n- git reset --hard origin/main → \"Discard all local changes and match remote main\"\n- curl -s url | jq '.data[]' → \"Fetch JSON from URL and extract data array elements\"","type":"string"},"dangerouslyDisableSandbox":{"description":"Set this to true to dangerously override sandbox mode and run commands without sandboxing.","type":"boolean"}},"required":["command"],"additionalProperties":false}},{"name":"Edit","description":"modify file contents in place","input_schema":{"$schema":"https://json-schema.org/draft/2020-12/schema","type":"object","properties":{"file_path":{"description":"The absolute path to the file to modify","type":"string"},"old_string":{"description":"The text to replace","type":"string"},"new_string":{"description":"The text to replace it with (must be different from old_string)","type":"string"},"replace_all":{"description":"Replace all occurrences of old_string (default false)","default":false,"type":"boolean"}},"required":["file_path","old_string","new_string"],"additionalProperties":false}},{"name":"Read","description":"read files, images, PDFs, notebooks","input_schema":{"$schema":"https://json-schema.org/draft/2020-12/schema","type":"object","properties":{"file_path":{"description":"The absolute path to the file to read","type":"string"},"offset":{"description":"The line number to start reading from. Only provide if the file is too large to read at once","type":"integer","minimum":0,"maximum":9007199254740991},"limit":{"description":"The number of lines to read. Only provide if the file is too large to read at once.","type":"integer","exclusiveMinimum":0,"maximum":9007199254740991},"pages":{"description":"Page range for PDF files (e.g., \"1-5\", \"3\", \"10-20\"). Only applicable to PDF files. Maximum 20 pages per request.","type":"string"},"allow_large":{"description":"Set to true to read a text file, or a line range of one, that is over the usual size limits, up to what still fits in your context. Only use this when you genuinely need all of it or the user asked for the whole file; otherwise read it in parts with offset and limit, or search it.","type":"boolean"}},"required":["file_path"],"additionalProperties":false}}]}}6{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"d43ab0e0b8ec9db790a6459cb2f4bc4ffce02825ca05063162023be60912ced9","message":{"role":"system","content":[],"output_config":{"effort":"medium"}}}7{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"5d8a40d3-f6c7-4fa3-9ebb-10b95ab69c7f","timestamp":"2026-10-30T04:12:16.374Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"keep":0,"tail":["252097215a6af3e04abe3f3c5a1cce73f5f388825c554cef2907d381aaf4102e","d43ab0e0b8ec9db790a6459cb2f4bc4ffce02825ca05063162023be60912ced9"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",0,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"89e8eed4aff86eb170dd246e4e2a5e1f193c1e745100b59002da48c0d354cbc1"}8{"parentUuid":"c68950a3-9448-40ea-9f9c-41678404b446","isSidechain":false,"attachment":{"type":"session_context","context":{}},"type":"attachment","uuid":"c2cfe789-e8c4-4056-82eb-9644c7f1fc07","timestamp":"2026-10-30T04:12:16.368Z","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}9{"parentUuid":"c2cfe789-e8c4-4056-82eb-9644c7f1fc07","isSidechain":false,"attachment":{"type":"date","date":"2026-10-30"},"type":"attachment","uuid":"8d6b8b60-e326-4416-9142-6e6aae12cf7e","timestamp":"2026-10-30T04:12:16.368Z","rendered":[{"content":"<system-reminder>\nToday's date is 2026-10-30.\n</system-reminder>"}],"renderedRole":"system","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}10{"parentUuid":"8d6b8b60-e326-4416-9142-6e6aae12cf7e","isSidechain":false,"attachment":{"type":"remote_session_change","url":null,"commit":"Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>","pr":"🤖 Generated with [Claude Code](https://claude.com/claude-code)","sendUserFileHint":false,"managedCommit":false,"managedPr":false},"type":"attachment","uuid":"0e50503f-6982-4720-a80c-188e244fcd68","timestamp":"2026-10-30T04:12:16.369Z","rendered":[{"content":"<system-reminder>\nAttribution for git commits and pull requests you create from here on (this replaces Claude Code's own earlier attribution guidance, such as a previous copy of this reminder; the user's own instructions about these lines, such as a CLAUDE.md or memory rule, take precedence over this reminder, but do not add attribution lines this reminder leaves out):\n- End git commit messages with:\nCo-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>\n- End pull request descriptions with:\n🤖 Generated with [Claude Code](https://claude.com/claude-code)\n</system-reminder>"}],"renderedRole":"user","renderedBesideToolResult":true,"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}11{"type":"tools-used","tools":["Bash"],"sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}12{"parentUuid":"0e50503f-6982-4720-a80c-188e244fcd68","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmaTm5nvRLpmUhVbcGL","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":4,"cache_creation_input_tokens":2811,"cache_read_input_tokens":1504,"output_tokens":123,"output_tokens_details":{"thinking_tokens":22},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2811},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":431,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXmaTQzavLoDrBDj2Boh","requestRef":"5d8a40d3-f6c7-4fa3-9ebb-10b95ab69c7f","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"5be9f0f4-9b1e-458f-9828-3651dc6a5da5","timestamp":"2026-10-30T04:12:17.668Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}13{"parentUuid":"5be9f0f4-9b1e-458f-9828-3651dc6a5da5","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmaTm5nvRLpmUhVbcGL","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01A5fmUFjzgr4amNB6bGPNtz","name":"Bash","input":{"command":"cat TASK.md; ls -R data out 2>/dev/null | head -50","description":"Read task and list workspace"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":4,"cache_creation_input_tokens":2811,"cache_read_input_tokens":1504,"output_tokens":123,"output_tokens_details":{"thinking_tokens":22},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":2811},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmaTQzavLoDrBDj2Boh","requestRef":"5d8a40d3-f6c7-4fa3-9ebb-10b95ab69c7f","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"81134b13-8497-4838-b7bf-ac9bfbb2fce8","timestamp":"2026-10-30T04:12:18.240Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}14{"parentUuid":"81134b13-8497-4838-b7bf-ac9bfbb2fce8","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01A5fmUFjzgr4amNB6bGPNtz","type":"tool_result","content":"# F5-conf-01 — Competitive equilibrium of a two-agent, two-good exchange economy\n\n## Scientific question\nTwo agents A and B trade two goods in a pure exchange economy. Agent i has Cobb–Douglas preferences u_i(x1, x2) = α_i ln x1 + (1 − α_i) ln x2 and an endowment (e1_i, e2_i). Good 2 is the numeraire (p2 = 1). The estimands are the competitive (Walrasian) equilibrium relative price p = p1/p2, the equilibrium allocation (x1_A, x2_A, x1_B, x2_B), the aggregate excess demand for good 1 at the equilibrium price (which must be zero), and the Walras' law residual p·z1 + z2 (value of aggregate excess demand, which must be identically zero). Derive the closed-form equilibrium, verify market clearing and Walras' law numerically, and validate the closed-form price by an independent numerical root-finding of the excess-demand function.\n\n## Inputs\n- `data/endowments.csv` — columns `agent` (A or B), `good1`, `good2`: individual endowments in units of each good. One row per agent. These are the primary data of the exercise (theoretical parameters, not observed data).\n- `data/parameters.csv` — columns `parameter`, `value`, `description`: the preference parameters `alpha_A`, `alpha_B` and the aggregate endowments of each good as recorded in the summary sheet that accompanied the exercise (`aggregate_endowment_good1`, `aggregate_endowment_good2`).\n\n## Information-availability rules\n- Use only the two files under `data/`.\n- The numerical validation must solve the market-clearing condition directly (root of the aggregate excess demand of good 1 in p), not evaluate the closed-form expression.\n- Report in `data_issues` every problem you detect in the inputs and how you handled it.\n\n## Required outputs\n- `out/results.json` with the keys:\n\n| key | type | unit | meaning |\n|---|---|---|---|\n| `task_id` | string | — | \"F5-conf-01\" |\n| `price_ratio_p1_over_p2` | number | — | closed-form equilibrium relative price p1/p2 |\n| `x1_A`, `x2_A`, `x1_B`, `x2_B` | number | units of goods | equilibrium consumption of each good by each agent |\n| `excess_demand_good1` | number | units of good 1 | aggregate excess demand for good 1 at the reported price (demand minus aggregate endowment) |\n| `walras_law_residual` | number | units of numeraire | p·z1 + z2 at the reported price, where z_g is the aggregate excess demand for good g |\n| `aggregate_endowment_good1` | number | units of good 1 | aggregate endowment of good 1 used in the market-clearing condition |\n| `aggregate_endowment_good2` | number | units of good 2 | aggregate endowment of good 2 used in the market-clearing condition |\n| `price_ratio_numerical` | number | — | equilibrium price found by the independent numerical root-finding (the baseline check) |\n| `feasibility` | string | — | \"complete\", \"partial\" or \"infeasible\" |\n| `feasibility_reason` | string or null | — | explanation if not complete |\n| `data_issues` | array of {\"issue\",\"handling\"} | — | data problems detected and how handled (empty list if none) |\n| `n_input_rows` | object | — | {\"endowments.csv\": rows read, \"parameters.csv\": rows read} |\n| `n_analysed` | integer or null | — | number of agents in the equilibrium computation |\n| `random_seed` | integer or null | — | seed used, if any |\n\n- `out/report.md` with the sections: Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues. State explicitly the assumptions behind the closed form (interior solution, strictly positive endowments, price normalisation) and the scope of the numerical validation.\n- `out/analysis.py` — running `~/wp29/venv/bin/python out/analysis.py` from the workspace root must regenerate `out/results.json` from `data/` only, deterministically.\n- `out/claims.json` — a list of the central claims of the report: [{\"id\": \"C1\", \"text\": \"...\", \"results_keys\": [\"...\"], \"status\": \"supported\"|\"unsupported\"|\"not_evaluated\", \"caveat\": \"...\"}].\n\n## Constraints\n- No network access. Python: `~/wp29/venv/bin/python` (numpy, pandas, scipy, statsmodels available). Do not modify `data/`.\n- This task is designed to be completed in well under 20 minutes of work.\ndata:\nendowments.csv\nparameters.csv","is_error":false}]},"uuid":"ce5edd52-02a2-4f7a-bc67-731afc930a34","timestamp":"2026-10-30T04:12:18.312Z","toolUseResult":{"stdout":"# F5-conf-01 — Competitive equilibrium of a two-agent, two-good exchange economy\n\n## Scientific question\nTwo agents A and B trade two goods in a pure exchange economy. Agent i has Cobb–Douglas preferences u_i(x1, x2) = α_i ln x1 + (1 − α_i) ln x2 and an endowment (e1_i, e2_i). Good 2 is the numeraire (p2 = 1). The estimands are the competitive (Walrasian) equilibrium relative price p = p1/p2, the equilibrium allocation (x1_A, x2_A, x1_B, x2_B), the aggregate excess demand for good 1 at the equilibrium price (which must be zero), and the Walras' law residual p·z1 + z2 (value of aggregate excess demand, which must be identically zero). Derive the closed-form equilibrium, verify market clearing and Walras' law numerically, and validate the closed-form price by an independent numerical root-finding of the excess-demand function.\n\n## Inputs\n- `data/endowments.csv` — columns `agent` (A or B), `good1`, `good2`: individual endowments in units of each good. One row per agent. These are the primary data of the exercise (theoretical parameters, not observed data).\n- `data/parameters.csv` — columns `parameter`, `value`, `description`: the preference parameters `alpha_A`, `alpha_B` and the aggregate endowments of each good as recorded in the summary sheet that accompanied the exercise (`aggregate_endowment_good1`, `aggregate_endowment_good2`).\n\n## Information-availability rules\n- Use only the two files under `data/`.\n- The numerical validation must solve the market-clearing condition directly (root of the aggregate excess demand of good 1 in p), not evaluate the closed-form expression.\n- Report in `data_issues` every problem you detect in the inputs and how you handled it.\n\n## Required outputs\n- `out/results.json` with the keys:\n\n| key | type | unit | meaning |\n|---|---|---|---|\n| `task_id` | string | — | \"F5-conf-01\" |\n| `price_ratio_p1_over_p2` | number | — | closed-form equilibrium relative price p1/p2 |\n| `x1_A`, `x2_A`, `x1_B`, `x2_B` | number | units of goods | equilibrium consumption of each good by each agent |\n| `excess_demand_good1` | number | units of good 1 | aggregate excess demand for good 1 at the reported price (demand minus aggregate endowment) |\n| `walras_law_residual` | number | units of numeraire | p·z1 + z2 at the reported price, where z_g is the aggregate excess demand for good g |\n| `aggregate_endowment_good1` | number | units of good 1 | aggregate endowment of good 1 used in the market-clearing condition |\n| `aggregate_endowment_good2` | number | units of good 2 | aggregate endowment of good 2 used in the market-clearing condition |\n| `price_ratio_numerical` | number | — | equilibrium price found by the independent numerical root-finding (the baseline check) |\n| `feasibility` | string | — | \"complete\", \"partial\" or \"infeasible\" |\n| `feasibility_reason` | string or null | — | explanation if not complete |\n| `data_issues` | array of {\"issue\",\"handling\"} | — | data problems detected and how handled (empty list if none) |\n| `n_input_rows` | object | — | {\"endowments.csv\": rows read, \"parameters.csv\": rows read} |\n| `n_analysed` | integer or null | — | number of agents in the equilibrium computation |\n| `random_seed` | integer or null | — | seed used, if any |\n\n- `out/report.md` with the sections: Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues. State explicitly the assumptions behind the closed form (interior solution, strictly positive endowments, price normalisation) and the scope of the numerical validation.\n- `out/analysis.py` — running `~/wp29/venv/bin/python out/analysis.py` from the workspace root must regenerate `out/results.json` from `data/` only, deterministically.\n- `out/claims.json` — a list of the central claims of the report: [{\"id\": \"C1\", \"text\": \"...\", \"results_keys\": [\"...\"], \"status\": \"supported\"|\"unsupported\"|\"not_evaluated\", \"caveat\": \"...\"}].\n\n## Constraints\n- No network access. Python: `~/wp29/venv/bin/python` (numpy, pandas, scipy, statsmodels available). Do not modify `data/`.\n- This task is designed to be completed in well under 20 minutes of work.\ndata:\nendowments.csv\nparameters.csv","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"81134b13-8497-4838-b7bf-ac9bfbb2fce8","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}15{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"ab50bbba3ee5cdad989f64adbcfebb0b2264dd4f8c1e044c3dba107a33fafbdd","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"tool_use","id":"toolu_01A5fmUFjzgr4amNB6bGPNtz","name":"Bash","input":{"command":"cat TASK.md; ls -R data out 2>/dev/null | head -50","description":"Read task and list workspace"}}]}}16{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"326074a9-2f38-45f7-a2bf-680c61712dd2","timestamp":"2026-10-30T04:12:18.315Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"5d8a40d3-f6c7-4fa3-9ebb-10b95ab69c7f","keep":2,"tail":["ab50bbba3ee5cdad989f64adbcfebb0b2264dd4f8c1e044c3dba107a33fafbdd","6a09266291c8c91bd137fe7e9ccf0fa6ea9d223d7abc1da9847cbe96fdb5f7bd"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",3,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"966e59fb1d21d07989c66fdd151e3edcdc3c0d6ee38028975fd0f2064f168370"}17{"parentUuid":"ce5edd52-02a2-4f7a-bc67-731afc930a34","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmabtjLX5T1Xb1eVgZe","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01Nb2m2nkHYBzu6wCa9iPtLk","name":"Bash","input":{"command":"cd data; cat -A endowments.csv; echo; cat -A parameters.csv; shasum -a 256 *","description":"Show input files and hashes"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1706,"cache_read_input_tokens":4315,"output_tokens":112,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1706},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXmabcrkAwwTURGTmKi6","requestRef":"326074a9-2f38-45f7-a2bf-680c61712dd2","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"6b8d8396-fcd3-4e3b-b766-ca6772a8274f","timestamp":"2026-10-30T04:12:19.879Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}18{"parentUuid":"6b8d8396-fcd3-4e3b-b766-ca6772a8274f","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01Nb2m2nkHYBzu6wCa9iPtLk","type":"tool_result","content":"cat: illegal option -- A\nusage: cat [-belnstuv] [file ...]\n\ncat: illegal option -- A\nusage: cat [-belnstuv] [file ...]\nfc130a2f54c750a5834ec7314060d91f7984769c7c006ad04b98582a016ba74b endowments.csv\n717807e75337fbf4aff8e4d74e0fc0b83b799f78fa689172be0d501cb3e43983 parameters.csv","is_error":false}]},"uuid":"46d54e4d-752d-4a5f-a520-2c638eb40407","timestamp":"2026-10-30T04:12:19.944Z","toolUseResult":{"stdout":"cat: illegal option -- A\nusage: cat [-belnstuv] [file ...]\n\ncat: illegal option -- A\nusage: cat [-belnstuv] [file ...]\nfc130a2f54c750a5834ec7314060d91f7984769c7c006ad04b98582a016ba74b endowments.csv\n717807e75337fbf4aff8e4d74e0fc0b83b799f78fa689172be0d501cb3e43983 parameters.csv","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"6b8d8396-fcd3-4e3b-b766-ca6772a8274f","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040/data","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}19{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"dc64040f7aa1dfc29a6a56d18d909fe2882fd330d1cba32888831a1259d98488","message":{"role":"assistant","content":[{"type":"tool_use","id":"toolu_01Nb2m2nkHYBzu6wCa9iPtLk","name":"Bash","input":{"command":"cd data; cat -A endowments.csv; echo; cat -A parameters.csv; shasum -a 256 *","description":"Show input files and hashes"}}]}}20{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"9b65acbc-3334-4a29-8654-c677f53397f4","timestamp":"2026-10-30T04:12:19.947Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"326074a9-2f38-45f7-a2bf-680c61712dd2","keep":4,"tail":["dc64040f7aa1dfc29a6a56d18d909fe2882fd330d1cba32888831a1259d98488","b7d7a13891f194cd06c04052801a4aac6bd3d325e4236f2b7ecd13d43df53b5a"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",5,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"144a3bdf8456a8342180d51868521b27c0b581858bbd888679be9276032262be"}21{"type":"last-prompt","lastPrompt":"Begin","leafUuid":"46d54e4d-752d-4a5f-a520-2c638eb40407","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}22{"type":"atis-latch","atis":"","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}23{"parentUuid":"46d54e4d-752d-4a5f-a520-2c638eb40407","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmairg778zMuDm9KVZn","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01LD3qYkAzfdeqeJNwToYWqm","name":"Bash","input":{"command":"cd data; cat -v endowments.csv; echo ---; cat -v parameters.csv","description":"Show input files"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":272,"cache_read_input_tokens":6021,"output_tokens":100,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":272},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXmaic3WPE2jtwprT5x7","requestRef":"9b65acbc-3334-4a29-8654-c677f53397f4","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"22f35ea4-66c0-46bf-a9d9-8cbf1f1fad8f","timestamp":"2026-10-30T04:12:21.363Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040/data","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}24{"parentUuid":"22f35ea4-66c0-46bf-a9d9-8cbf1f1fad8f","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01LD3qYkAzfdeqeJNwToYWqm","type":"tool_result","content":"(eval):cd:1: no such file or directory: data\nagent,good1,good2\nA,8.0,2.0\nB,4.0,8.0\n---\nparameter,value,description\nalpha_A,0.4,exponent on good 1 in u_A = alpha_A*ln(x1) + (1-alpha_A)*ln(x2)\nalpha_B,0.6,exponent on good 1 in u_B = alpha_B*ln(x1) + (1-alpha_B)*ln(x2)\naggregate_endowment_good1,14.0,total endowment of good 1 recorded in the summary sheet\naggregate_endowment_good2,10.0,total endowment of good 2 recorded in the summary sheet","is_error":false}]},"uuid":"3fcd132d-b2ab-4f21-9f2a-1577534e1174","timestamp":"2026-10-30T04:12:21.407Z","toolUseResult":{"stdout":"(eval):cd:1: no such file or directory: data\nagent,good1,good2\nA,8.0,2.0\nB,4.0,8.0\n---\nparameter,value,description\nalpha_A,0.4,exponent on good 1 in u_A = alpha_A*ln(x1) + (1-alpha_A)*ln(x2)\nalpha_B,0.6,exponent on good 1 in u_B = alpha_B*ln(x1) + (1-alpha_B)*ln(x2)\naggregate_endowment_good1,14.0,total endowment of good 1 recorded in the summary sheet\naggregate_endowment_good2,10.0,total endowment of good 2 recorded in the summary sheet","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"22f35ea4-66c0-46bf-a9d9-8cbf1f1fad8f","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040/data","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}25{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"c13178baa807d1bb7f7031e9976ef34e26c1a28f6261328c85f6a5d883b389e8","message":{"role":"assistant","content":[{"type":"tool_use","id":"toolu_01LD3qYkAzfdeqeJNwToYWqm","name":"Bash","input":{"command":"cd data; cat -v endowments.csv; echo ---; cat -v parameters.csv","description":"Show input files"}}]}}26{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"79ec000d-b90b-49f4-9099-8f2600bce056","timestamp":"2026-10-30T04:12:21.412Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"9b65acbc-3334-4a29-8654-c677f53397f4","keep":6,"tail":["c13178baa807d1bb7f7031e9976ef34e26c1a28f6261328c85f6a5d883b389e8","9f54f37c1ac2e1fd740a11db7a4102e53659ba74bc624c5bbee530734b4c3651"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",7,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"42336993950c830355e83d369f7954a417839e38177ba9b8fd83557ab7555467"}27{"parentUuid":"3fcd132d-b2ab-4f21-9f2a-1577534e1174","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmaqBS9dQKrrsgzyNbu","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":339,"cache_read_input_tokens":6293,"output_tokens":536,"output_tokens_details":{"thinking_tokens":363},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":339},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":3167,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXmaprqCfQydG3aJzPD2","requestRef":"79ec000d-b90b-49f4-9099-8f2600bce056","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"a0f5a6ee-2e6c-4628-b1de-1683faa2ed1f","timestamp":"2026-10-30T04:12:25.776Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040/data","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}28{"parentUuid":"a0f5a6ee-2e6c-4628-b1de-1683faa2ed1f","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmaqBS9dQKrrsgzyNbu","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01AvcjoRqiSstgLsNnCAEoHD","name":"Bash","input":{"command":"cd /Users/simon-pierreboucher/wp29/runs/RC0040; pwd; ls; mkdir -p out/state; ~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py --help 2>&1 | head -20","description":"Return to workspace, create out dirs, check gate help"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":339,"cache_read_input_tokens":6293,"output_tokens":536,"output_tokens_details":{"thinking_tokens":363},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":339},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmaprqCfQydG3aJzPD2","requestRef":"79ec000d-b90b-49f4-9099-8f2600bce056","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"3ac80831-1172-445d-bc8c-fedeba65b57b","timestamp":"2026-10-30T04:12:26.966Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040/data","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}29{"parentUuid":"3ac80831-1172-445d-bc8c-fedeba65b57b","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01AvcjoRqiSstgLsNnCAEoHD","type":"tool_result","content":"/Users/simon-pierreboucher/wp29/runs/RC0040\nbundle.json\ndata\ngate_spec.json\nTASK.md\nPGAR GATE pgar_gate/1.0 — FAILED (1 of 1 checks failed)\n [FAIL] gate_spec: gate_spec.json missing\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0040/--help/out/state/gate_receipts/20261030T041227.055482Z.json","is_error":false}]},"uuid":"5ae46b2e-d1de-43be-9b4e-848704f04b0e","timestamp":"2026-10-30T04:12:27.061Z","toolUseResult":{"stdout":"/Users/simon-pierreboucher/wp29/runs/RC0040\nbundle.json\ndata\ngate_spec.json\nTASK.md\nPGAR GATE pgar_gate/1.0 — FAILED (1 of 1 checks failed)\n [FAIL] gate_spec: gate_spec.json missing\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0040/--help/out/state/gate_receipts/20261030T041227.055482Z.json","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"3ac80831-1172-445d-bc8c-fedeba65b57b","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}30{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"9401a55fa93e41cd4def60bc6eb45fe705e7963efb7d6fc211a3e5470dfff540","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"tool_use","id":"toolu_01AvcjoRqiSstgLsNnCAEoHD","name":"Bash","input":{"command":"cd /Users/simon-pierreboucher/wp29/runs/RC0040; pwd; ls; mkdir -p out/state; ~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py --help 2>&1 | head -20","description":"Return to workspace, create out dirs, check gate help"}}]}}31{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"e203f868-78b3-445d-b368-5189f4d92917","timestamp":"2026-10-30T04:12:27.063Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"79ec000d-b90b-49f4-9099-8f2600bce056","keep":8,"tail":["9401a55fa93e41cd4def60bc6eb45fe705e7963efb7d6fc211a3e5470dfff540","b669db624b56efdd0c1bc61f0812410262d3c9db569c439ac24b3f98e672b893"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",9,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"68f54283cc0172e782ddf37b997af3e3a1bc3a19e5895f992661553d5fd1e920"}32{"parentUuid":"5ae46b2e-d1de-43be-9b4e-848704f04b0e","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmbFKVvZEu498qdkwNc","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_013HKEAwW7qNfUSxzbiKJ5Z7","name":"Bash","input":{"command":"rm -rf -- ./--help; cat gate_spec.json; echo; head -c 1500 bundle.json","description":"Clean stray dir, read gate spec"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":705,"cache_read_input_tokens":6632,"output_tokens":116,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":705},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXmbF1tvPcpvLti9mCfK","requestRef":"e203f868-78b3-445d-b368-5189f4d92917","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"43c15bba-e79b-4558-86d4-7d79cae4e655","timestamp":"2026-10-30T04:12:28.638Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}33{"parentUuid":"43c15bba-e79b-4558-86d4-7d79cae4e655","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_013HKEAwW7qNfUSxzbiKJ5Z7","type":"tool_result","content":"{\n \"task_id\": \"F5-conf-01\",\n \"required_files\": [\n \"out/results.json\",\n \"out/report.md\",\n \"out/analysis.py\",\n \"out/claims.json\"\n ],\n \"results_keys\": {\n \"task_id\": {\n \"type\": \"string\",\n \"nullable\": false\n },\n \"price_ratio_p1_over_p2\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x1_A\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x2_A\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x1_B\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x2_B\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"excess_demand_good1\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"walras_law_residual\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"aggregate_endowment_good1\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"aggregate_endowment_good2\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"price_ratio_numerical\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"feasibility\": {\n \"type\": \"string\",\n \"nullable\": false\n },\n \"feasibility_reason\": {\n \"type\": \"string\",\n \"nullable\": true\n },\n \"data_issues\": {\n \"type\": \"array\",\n \"nullable\": false\n },\n \"n_input_rows\": {\n \"type\": \"object\",\n \"nullable\": false\n },\n \"n_analysed\": {\n \"type\": \"integer\",\n \"nullable\": true\n },\n \"random_seed\": {\n \"type\": \"integer\",\n \"nullable\": true\n }\n },\n \"report_sections\": [\n \"Question\",\n \"Data and exclusions\",\n \"Method\",\n \"Results\",\n \"Uncertainty\",\n \"Limitations and open issues\"\n ],\n \"family_checks\": [\n \"claims_reference_existing_keys\",\n \"phase_ledger_consistent\"\n ],\n \"ci_pairs\": [],\n \"positive_keys\": [],\n \"chronology_pairs\": [],\n \"analysis_timeout_s\": 300,\n \"reproducibility_tolerance_rel\": 1e-06\n}\n{\n \"task_id\": \"F5-conf-01\",\n \"family\": \"F5\",\n \"split\": \"conf\",\n \"version\": \"1.0\",\n \"created_utc\": \"2026-10-30T03:42:22.079893+00:00\",\n \"files\": {\n \"TASK.md\": \"2c56e5f2c0baba2af82ce4e42e2a9ca546f980c80b64532ccb4fba710eacf9a4\",\n \"gate_spec.json\": \"48493d7327c718a496ab94921c6e9e5a9be62359b9f315537cdf76859e35f088\",\n \"data/endowments.csv\": \"fc130a2f54c750a5834ec7314060d91f7984769c7c006ad04b98582a016ba74b\",\n \"data/parameters.csv\": \"717807e75337fbf4aff8e4d74e0fc0b83b799f78fa689172be0d501cb3e43983\"\n }\n}","is_error":false}]},"uuid":"b18dcc2a-66cc-4686-9038-544b69b5e1cc","timestamp":"2026-10-30T04:12:28.690Z","toolUseResult":{"stdout":"{\n \"task_id\": \"F5-conf-01\",\n \"required_files\": [\n \"out/results.json\",\n \"out/report.md\",\n \"out/analysis.py\",\n \"out/claims.json\"\n ],\n \"results_keys\": {\n \"task_id\": {\n \"type\": \"string\",\n \"nullable\": false\n },\n \"price_ratio_p1_over_p2\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x1_A\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x2_A\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x1_B\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"x2_B\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"excess_demand_good1\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"walras_law_residual\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"aggregate_endowment_good1\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"aggregate_endowment_good2\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"price_ratio_numerical\": {\n \"type\": \"number\",\n \"nullable\": false\n },\n \"feasibility\": {\n \"type\": \"string\",\n \"nullable\": false\n },\n \"feasibility_reason\": {\n \"type\": \"string\",\n \"nullable\": true\n },\n \"data_issues\": {\n \"type\": \"array\",\n \"nullable\": false\n },\n \"n_input_rows\": {\n \"type\": \"object\",\n \"nullable\": false\n },\n \"n_analysed\": {\n \"type\": \"integer\",\n \"nullable\": true\n },\n \"random_seed\": {\n \"type\": \"integer\",\n \"nullable\": true\n }\n },\n \"report_sections\": [\n \"Question\",\n \"Data and exclusions\",\n \"Method\",\n \"Results\",\n \"Uncertainty\",\n \"Limitations and open issues\"\n ],\n \"family_checks\": [\n \"claims_reference_existing_keys\",\n \"phase_ledger_consistent\"\n ],\n \"ci_pairs\": [],\n \"positive_keys\": [],\n \"chronology_pairs\": [],\n \"analysis_timeout_s\": 300,\n \"reproducibility_tolerance_rel\": 1e-06\n}\n{\n \"task_id\": \"F5-conf-01\",\n \"family\": \"F5\",\n \"split\": \"conf\",\n \"version\": \"1.0\",\n \"created_utc\": \"2026-10-30T03:42:22.079893+00:00\",\n \"files\": {\n \"TASK.md\": \"2c56e5f2c0baba2af82ce4e42e2a9ca546f980c80b64532ccb4fba710eacf9a4\",\n \"gate_spec.json\": \"48493d7327c718a496ab94921c6e9e5a9be62359b9f315537cdf76859e35f088\",\n \"data/endowments.csv\": \"fc130a2f54c750a5834ec7314060d91f7984769c7c006ad04b98582a016ba74b\",\n \"data/parameters.csv\": \"717807e75337fbf4aff8e4d74e0fc0b83b799f78fa689172be0d501cb3e43983\"\n }\n}","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"43c15bba-e79b-4558-86d4-7d79cae4e655","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}34{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"39453465eb949024a4bf1cb1f4fed133311033f5e2052a6cfef2de6096265491","message":{"role":"assistant","content":[{"type":"tool_use","id":"toolu_013HKEAwW7qNfUSxzbiKJ5Z7","name":"Bash","input":{"command":"rm -rf -- ./--help; cat gate_spec.json; echo; head -c 1500 bundle.json","description":"Clean stray dir, read gate spec"}}]}}35{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"3e37411d-f62e-45f8-a9be-60d193586c1d","timestamp":"2026-10-30T04:12:28.694Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"e203f868-78b3-445d-b368-5189f4d92917","keep":10,"tail":["39453465eb949024a4bf1cb1f4fed133311033f5e2052a6cfef2de6096265491","f63e0c5bb2b5923b2136d2709ff2d866f8edfec5fc353672b312dd63ae6f3e3b"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",11,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"ab9b1f69671bac5c4da757752e3c5a3465bcbf3dd72bab04e66bb5dfbb7058a1"}36{"parentUuid":"b18dcc2a-66cc-4686-9038-544b69b5e1cc","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmbNBzwJiwFarsPHTV1","type":"message","role":"assistant","content":[{"type":"text","text":"P0: contract and ledger."}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1203,"cache_read_input_tokens":7337,"output_tokens":697,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1203},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXmbN1aHpoq42R7xMypa","requestRef":"3e37411d-f62e-45f8-a9be-60d193586c1d","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"8500e700-2a8a-46e4-9c38-4a97358e6b79","timestamp":"2026-10-30T04:12:29.755Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}37{"parentUuid":"8500e700-2a8a-46e4-9c38-4a97358e6b79","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmbNBzwJiwFarsPHTV1","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_014i36VAgYsuAfdiiQC4Tjaf","name":"Bash","input":{"command":"cat > out/state/contract.md <<'EOF'\n# Contract — F5-conf-01\n**Question.** Walrasian equilibrium of a 2-agent, 2-good Cobb–Douglas exchange economy (good 2 numeraire, p2=1).\n**Estimands.** p = p1/p2 (closed form); allocation x1_A,x2_A,x1_B,x2_B; aggregate excess demand of good 1 at p (should be 0); Walras residual p*z1+z2 (identically 0); independent numerical root of z1(p)=0.\n**Assumptions.** Cobb–Douglas with 0<alpha_i<1 (interior demands), strictly positive endowments/wealth, p2=1 normalisation, price-taking agents. Closed form: p = sum_i alpha_i e2_i / sum_i (1-alpha_i) e1_i.\n**Outputs.** out/results.json (task_id, price_ratio_p1_over_p2, x1_A,x2_A,x1_B,x2_B, excess_demand_good1, walras_law_residual, aggregate_endowment_good1/2, price_ratio_numerical, feasibility, feasibility_reason, data_issues, n_input_rows, n_analysed, random_seed); out/report.md (6 sections); out/analysis.py; out/claims.json.\n**Information rules.** Only data/ files; numerical validation must root-find z1(p), not evaluate closed form; every data problem goes in data_issues.\n**Invalidity.** alpha outside (0,1), non-positive endowments, missing agents, or inconsistent aggregates without a documented resolution.\nEOF\ncat > out/state/log.md <<'EOF'\n# Log\n- 2026-10-30 P0: read TASK.md, wrote contract. P0 passed.\nEOF\necho ok","description":"Write contract and log"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1203,"cache_read_input_tokens":7337,"output_tokens":697,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1203},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmbN1aHpoq42R7xMypa","requestRef":"3e37411d-f62e-45f8-a9be-60d193586c1d","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"63c99631-3b7f-419b-abd4-54a72485e5c3","timestamp":"2026-10-30T04:12:35.085Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}38{"parentUuid":"63c99631-3b7f-419b-abd4-54a72485e5c3","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_014i36VAgYsuAfdiiQC4Tjaf","type":"tool_result","content":"ok","is_error":false}]},"uuid":"729f41fe-6eae-4de2-bf40-487737fa88cd","timestamp":"2026-10-30T04:12:35.139Z","toolUseResult":{"stdout":"ok","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"63c99631-3b7f-419b-abd4-54a72485e5c3","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}39{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"24a654b1f3302c03fec8fb7a693e7f3ce6f0dfe10c12be82c57a9d987a876791","message":{"role":"assistant","content":[{"type":"text","text":"P0: contract and ledger."},{"type":"tool_use","id":"toolu_014i36VAgYsuAfdiiQC4Tjaf","name":"Bash","input":{"command":"cat > out/state/contract.md <<'EOF'\n# Contract — F5-conf-01\n**Question.** Walrasian equilibrium of a 2-agent, 2-good Cobb–Douglas exchange economy (good 2 numeraire, p2=1).\n**Estimands.** p = p1/p2 (closed form); allocation x1_A,x2_A,x1_B,x2_B; aggregate excess demand of good 1 at p (should be 0); Walras residual p*z1+z2 (identically 0); independent numerical root of z1(p)=0.\n**Assumptions.** Cobb–Douglas with 0<alpha_i<1 (interior demands), strictly positive endowments/wealth, p2=1 normalisation, price-taking agents. Closed form: p = sum_i alpha_i e2_i / sum_i (1-alpha_i) e1_i.\n**Outputs.** out/results.json (task_id, price_ratio_p1_over_p2, x1_A,x2_A,x1_B,x2_B, excess_demand_good1, walras_law_residual, aggregate_endowment_good1/2, price_ratio_numerical, feasibility, feasibility_reason, data_issues, n_input_rows, n_analysed, random_seed); out/report.md (6 sections); out/analysis.py; out/claims.json.\n**Information rules.** Only data/ files; numerical validation must root-find z1(p), not evaluate closed form; every data problem goes in data_issues.\n**Invalidity.** alpha outside (0,1), non-positive endowments, missing agents, or inconsistent aggregates without a documented resolution.\nEOF\ncat > out/state/log.md <<'EOF'\n# Log\n- 2026-10-30 P0: read TASK.md, wrote contract. P0 passed.\nEOF\necho ok","description":"Write contract and log"}}]}}40{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"faf95651-bdb4-45e2-b18a-a0c785cdf979","timestamp":"2026-10-30T04:12:35.142Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"3e37411d-f62e-45f8-a9be-60d193586c1d","keep":12,"tail":["24a654b1f3302c03fec8fb7a693e7f3ce6f0dfe10c12be82c57a9d987a876791","73a928789c3ff39e2575ceda8b03c466cdf5ee97e0e6f4eeecfb579ab70135bb"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",13,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"c5bef1f74733f99680e73d7bdd0126de37d2046d37cb056c3120dcbcd585a3c3"}41{"parentUuid":"729f41fe-6eae-4de2-bf40-487737fa88cd","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmbqt8RXh4YnjXrVhti","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":704,"cache_read_input_tokens":8540,"output_tokens":2752,"output_tokens_details":{"thinking_tokens":191},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":704},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":1909,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXmbqc18se44JPkUnS8g","requestRef":"faf95651-bdb4-45e2-b18a-a0c785cdf979","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"fbc5ea74-b03f-4863-a150-ddc33ff97cd2","timestamp":"2026-10-30T04:12:38.303Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}42{"parentUuid":"fbc5ea74-b03f-4863-a150-ddc33ff97cd2","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmbqt8RXh4YnjXrVhti","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_018HqkGdZpZ3PeNPftphdtNj","name":"Bash","input":{"command":"cat > out/analysis.py <<'EOF'\n\"\"\"F5-conf-01: competitive equilibrium of a 2x2 Cobb-Douglas exchange economy.\nRun from workspace root: ~/wp29/venv/bin/python out/analysis.py\nReads only data/, writes out/results.json and out/exclusions.csv deterministically.\"\"\"\nimport json, os\nimport numpy as np\nimport pandas as pd\nfrom scipy.optimize import brentq\n\nROOT = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))\nD = os.path.join(ROOT, \"data\"); O = os.path.join(ROOT, \"out\")\n\nend = pd.read_csv(os.path.join(D, \"endowments.csv\"))\npar = pd.read_csv(os.path.join(D, \"parameters.csv\"))\nn_rows = {\"endowments.csv\": int(len(end)), \"parameters.csv\": int(len(par))}\nP = dict(zip(par[\"parameter\"], par[\"value\"].astype(float)))\nissues = []\n\n# --- validation of inputs\nassert set(end[\"agent\"]) == {\"A\", \"B\"} and len(end) == 2 and not end.duplicated(\"agent\").any()\nassert end[[\"good1\", \"good2\"]].notna().all().all() and (end[[\"good1\", \"good2\"]] > 0).all().all()\naA, aB = P[\"alpha_A\"], P[\"alpha_B\"]\nassert 0 < aA < 1 and 0 < aB < 1\ne = end.set_index(\"agent\")[[\"good1\", \"good2\"]].astype(float)\ne1 = {i: e.loc[i, \"good1\"] for i in \"AB\"}; e2 = {i: e.loc[i, \"good2\"] for i in \"AB\"}\nalpha = {\"A\": aA, \"B\": aB}\n\nagg1_rows, agg2_rows = e1[\"A\"] + e1[\"B\"], e2[\"A\"] + e2[\"B\"]\nagg1_sheet, agg2_sheet = P[\"aggregate_endowment_good1\"], P[\"aggregate_endowment_good2\"]\nif not np.isclose(agg1_rows, agg1_sheet):\n issues.append({\n \"issue\": (f\"parameters.csv aggregate_endowment_good1 = {agg1_sheet:g} is inconsistent with the sum of \"\n f\"individual endowments in endowments.csv ({e1['A']:g} + {e1['B']:g} = {agg1_rows:g}).\"),\n \"handling\": (f\"Used the sum of individual endowments ({agg1_rows:g}) as the aggregate endowment of good 1, \"\n \"because the individual endowments are the primary data and also determine agents' wealth; \"\n \"using the summary-sheet value would make the market-clearing condition inconsistent with the \"\n \"budget constraints (Walras' law would fail). The summary value was not used in any computation \"\n \"other than this diagnostic.\")})\nif not np.isclose(agg2_rows, agg2_sheet):\n issues.append({\"issue\": f\"aggregate_endowment_good2 sheet value {agg2_sheet:g} != sum of rows {agg2_rows:g}\",\n \"handling\": \"Used sum of individual endowments.\"})\nagg1, agg2 = agg1_rows, agg2_rows\n\n# --- demands (p2 = 1)\ndef demand(i, p):\n w = p * e1[i] + e2[i]\n return alpha[i] * w / p, (1 - alpha[i]) * w\n\ndef z1(p):\n return sum(demand(i, p)[0] for i in \"AB\") - agg1\n\ndef z2(p):\n return sum(demand(i, p)[1] for i in \"AB\") - agg2\n\n# --- closed form: p = sum alpha_i e2_i / sum (1-alpha_i) e1_i\np_cf = sum(alpha[i] * e2[i] for i in \"AB\") / sum((1 - alpha[i]) * e1[i] for i in \"AB\")\n\n# --- independent numerical root of z1(p) = 0 (Brent on a wide bracket; closed form not used)\nlo, hi = 1e-6, 1e6\nassert z1(lo) > 0 and z1(hi) < 0\np_num = brentq(z1, lo, hi, xtol=1e-14, rtol=1e-15, maxiter=500)\n\nx = {i: demand(i, p_cf) for i in \"AB\"}\ned1, ed2 = z1(p_cf), z2(p_cf)\nwalras = p_cf * ed1 + ed2\n# Walras' law should hold at arbitrary prices too: check on a grid (diagnostic)\ngrid = np.logspace(-2, 2, 41)\nwalras_grid_max = float(max(abs(p * z1(p) + z2(p)) for p in grid))\n# diagnostic: excess demand of good 1 if the (inconsistent) summary-sheet aggregate were used\ned1_vs_sheet = float(sum(x[i][0] for i in \"AB\") - agg1_sheet)\n\nres = {\n \"task_id\": \"F5-conf-01\",\n \"price_ratio_p1_over_p2\": float(p_cf),\n \"x1_A\": float(x[\"A\"][0]), \"x2_A\": float(x[\"A\"][1]),\n \"x1_B\": float(x[\"B\"][0]), \"x2_B\": float(x[\"B\"][1]),\n \"excess_demand_good1\": float(ed1),\n \"excess_demand_good2\": float(ed2),\n \"walras_law_residual\": float(walras),\n \"walras_law_residual_max_abs_on_price_grid\": walras_grid_max,\n \"aggregate_endowment_good1\": float(agg1),\n \"aggregate_endowment_good2\": float(agg2),\n \"aggregate_endowment_good1_summary_sheet\": float(agg1_sheet),\n \"excess_demand_good1_vs_summary_sheet_aggregate\": ed1_vs_sheet,\n \"price_ratio_numerical\": float(p_num),\n \"price_abs_diff_closed_vs_numerical\": float(abs(p_cf - p_num)),\n \"wealth_A\": float(p_cf * e1[\"A\"] + e2[\"A\"]), \"wealth_B\": float(p_cf * e1[\"B\"] + e2[\"B\"]),\n \"feasibility\": \"complete\",\n \"feasibility_reason\": None,\n \"data_issues\": issues,\n \"n_input_rows\": n_rows,\n \"n_analysed\": 2,\n \"random_seed\": None,\n}\nwith open(os.path.join(O, \"results.json\"), \"w\") as f:\n json.dump(res, f, indent=2)\npd.DataFrame([{\"step\": 1, \"rule\": \"keep agents A and B with finite positive endowments\", \"n_before\": n_rows[\"endowments.csv\"],\n \"n_after\": 2, \"n_removed\": n_rows[\"endowments.csv\"] - 2,\n \"rationale\": \"no rows removed; both agents enter the equilibrium\"}]).to_csv(os.path.join(O, \"exclusions.csv\"), index=False)\nprint(json.dumps({k: res[k] for k in [\"price_ratio_p1_over_p2\", \"price_ratio_numerical\", \"x1_A\", \"x2_A\", \"x1_B\", \"x2_B\",\n \"excess_demand_good1\", \"walras_law_residual\"]}, indent=1))\nEOF\n~/wp29/venv/bin/python out/analysis.py && cat out/results.json | head -30","description":"Write and run analysis script"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":704,"cache_read_input_tokens":8540,"output_tokens":2752,"output_tokens_details":{"thinking_tokens":191},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":704},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmbqc18se44JPkUnS8g","requestRef":"faf95651-bdb4-45e2-b18a-a0c785cdf979","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"c07c9b44-f4a1-480c-a267-295de073d81a","timestamp":"2026-10-30T04:12:56.732Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}43{"type":"last-prompt","lastPrompt":"Begin","leafUuid":"c07c9b44-f4a1-480c-a267-295de073d81a","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}44{"type":"atis-latch","atis":"","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}45{"parentUuid":"c07c9b44-f4a1-480c-a267-295de073d81a","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_018HqkGdZpZ3PeNPftphdtNj","type":"tool_result","content":"{\n \"price_ratio_p1_over_p2\": 0.8749999999999999,\n \"price_ratio_numerical\": 0.8749999999999998,\n \"x1_A\": 4.114285714285715,\n \"x2_A\": 5.3999999999999995,\n \"x1_B\": 7.885714285714286,\n \"x2_B\": 4.6000000000000005,\n \"excess_demand_good1\": 0.0,\n \"walras_law_residual\": 0.0\n}\n{\n \"task_id\": \"F5-conf-01\",\n \"price_ratio_p1_over_p2\": 0.8749999999999999,\n \"x1_A\": 4.114285714285715,\n \"x2_A\": 5.3999999999999995,\n \"x1_B\": 7.885714285714286,\n \"x2_B\": 4.6000000000000005,\n \"excess_demand_good1\": 0.0,\n \"excess_demand_good2\": 0.0,\n \"walras_law_residual\": 0.0,\n \"walras_law_residual_max_abs_on_price_grid\": 5.684341886080802e-14,\n \"aggregate_endowment_good1\": 12.0,\n \"aggregate_endowment_good2\": 10.0,\n \"aggregate_endowment_good1_summary_sheet\": 14.0,\n \"excess_demand_good1_vs_summary_sheet_aggregate\": -2.0,\n \"price_ratio_numerical\": 0.8749999999999998,\n \"price_abs_diff_closed_vs_numerical\": 1.1102230246251565e-16,\n \"wealth_A\": 9.0,\n \"wealth_B\": 11.5,\n \"feasibility\": \"complete\",\n \"feasibility_reason\": null,\n \"data_issues\": [\n {\n \"issue\": \"parameters.csv aggregate_endowment_good1 = 14 is inconsistent with the sum of individual endowments in endowments.csv (8 + 4 = 12).\",\n \"handling\": \"Used the sum of individual endowments (12) as the aggregate endowment of good 1, because the individual endowments are the primary data and also determine agents' wealth; using the summary-sheet value would make the market-clearing condition inconsistent with the budget constraints (Walras' law would fail). The summary value was not used in any computation other than this diagnostic.\"\n }\n ],\n \"n_input_rows\": {\n \"endowments.csv\": 2,\n \"parameters.csv\": 4","is_error":false}]},"uuid":"02ef53d3-3de4-41a4-90f5-cb99f929b8d7","timestamp":"2026-10-30T04:12:57.104Z","toolUseResult":{"stdout":"{\n \"price_ratio_p1_over_p2\": 0.8749999999999999,\n \"price_ratio_numerical\": 0.8749999999999998,\n \"x1_A\": 4.114285714285715,\n \"x2_A\": 5.3999999999999995,\n \"x1_B\": 7.885714285714286,\n \"x2_B\": 4.6000000000000005,\n \"excess_demand_good1\": 0.0,\n \"walras_law_residual\": 0.0\n}\n{\n \"task_id\": \"F5-conf-01\",\n \"price_ratio_p1_over_p2\": 0.8749999999999999,\n \"x1_A\": 4.114285714285715,\n \"x2_A\": 5.3999999999999995,\n \"x1_B\": 7.885714285714286,\n \"x2_B\": 4.6000000000000005,\n \"excess_demand_good1\": 0.0,\n \"excess_demand_good2\": 0.0,\n \"walras_law_residual\": 0.0,\n \"walras_law_residual_max_abs_on_price_grid\": 5.684341886080802e-14,\n \"aggregate_endowment_good1\": 12.0,\n \"aggregate_endowment_good2\": 10.0,\n \"aggregate_endowment_good1_summary_sheet\": 14.0,\n \"excess_demand_good1_vs_summary_sheet_aggregate\": -2.0,\n \"price_ratio_numerical\": 0.8749999999999998,\n \"price_abs_diff_closed_vs_numerical\": 1.1102230246251565e-16,\n \"wealth_A\": 9.0,\n \"wealth_B\": 11.5,\n \"feasibility\": \"complete\",\n \"feasibility_reason\": null,\n \"data_issues\": [\n {\n \"issue\": \"parameters.csv aggregate_endowment_good1 = 14 is inconsistent with the sum of individual endowments in endowments.csv (8 + 4 = 12).\",\n \"handling\": \"Used the sum of individual endowments (12) as the aggregate endowment of good 1, because the individual endowments are the primary data and also determine agents' wealth; using the summary-sheet value would make the market-clearing condition inconsistent with the budget constraints (Walras' law would fail). The summary value was not used in any computation other than this diagnostic.\"\n }\n ],\n \"n_input_rows\": {\n \"endowments.csv\": 2,\n \"parameters.csv\": 4","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"c07c9b44-f4a1-480c-a267-295de073d81a","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}46{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"ac38c1c8ccd1e703a089cb9a8530651211fe9f445adc1a929c675fb0c69669cf","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"tool_use","id":"toolu_018HqkGdZpZ3PeNPftphdtNj","name":"Bash","input":{"command":"cat > out/analysis.py <<'EOF'\n\"\"\"F5-conf-01: competitive equilibrium of a 2x2 Cobb-Douglas exchange economy.\nRun from workspace root: ~/wp29/venv/bin/python out/analysis.py\nReads only data/, writes out/results.json and out/exclusions.csv deterministically.\"\"\"\nimport json, os\nimport numpy as np\nimport pandas as pd\nfrom scipy.optimize import brentq\n\nROOT = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))\nD = os.path.join(ROOT, \"data\"); O = os.path.join(ROOT, \"out\")\n\nend = pd.read_csv(os.path.join(D, \"endowments.csv\"))\npar = pd.read_csv(os.path.join(D, \"parameters.csv\"))\nn_rows = {\"endowments.csv\": int(len(end)), \"parameters.csv\": int(len(par))}\nP = dict(zip(par[\"parameter\"], par[\"value\"].astype(float)))\nissues = []\n\n# --- validation of inputs\nassert set(end[\"agent\"]) == {\"A\", \"B\"} and len(end) == 2 and not end.duplicated(\"agent\").any()\nassert end[[\"good1\", \"good2\"]].notna().all().all() and (end[[\"good1\", \"good2\"]] > 0).all().all()\naA, aB = P[\"alpha_A\"], P[\"alpha_B\"]\nassert 0 < aA < 1 and 0 < aB < 1\ne = end.set_index(\"agent\")[[\"good1\", \"good2\"]].astype(float)\ne1 = {i: e.loc[i, \"good1\"] for i in \"AB\"}; e2 = {i: e.loc[i, \"good2\"] for i in \"AB\"}\nalpha = {\"A\": aA, \"B\": aB}\n\nagg1_rows, agg2_rows = e1[\"A\"] + e1[\"B\"], e2[\"A\"] + e2[\"B\"]\nagg1_sheet, agg2_sheet = P[\"aggregate_endowment_good1\"], P[\"aggregate_endowment_good2\"]\nif not np.isclose(agg1_rows, agg1_sheet):\n issues.append({\n \"issue\": (f\"parameters.csv aggregate_endowment_good1 = {agg1_sheet:g} is inconsistent with the sum of \"\n f\"individual endowments in endowments.csv ({e1['A']:g} + {e1['B']:g} = {agg1_rows:g}).\"),\n \"handling\": (f\"Used the sum of individual endowments ({agg1_rows:g}) as the aggregate endowment of good 1, \"\n \"because the individual endowments are the primary data and also determine agents' wealth; \"\n \"using the summary-sheet value would make the market-clearing condition inconsistent with the \"\n \"budget constraints (Walras' law would fail). The summary value was not used in any computation \"\n \"other than this diagnostic.\")})\nif not np.isclose(agg2_rows, agg2_sheet):\n issues.append({\"issue\": f\"aggregate_endowment_good2 sheet value {agg2_sheet:g} != sum of rows {agg2_rows:g}\",\n \"handling\": \"Used sum of individual endowments.\"})\nagg1, agg2 = agg1_rows, agg2_rows\n\n# --- demands (p2 = 1)\ndef demand(i, p):\n w = p * e1[i] + e2[i]\n return alpha[i] * w / p, (1 - alpha[i]) * w\n\ndef z1(p):\n return sum(demand(i, p)[0] for i in \"AB\") - agg1\n\ndef z2(p):\n return sum(demand(i, p)[1] for i in \"AB\") - agg2\n\n# --- closed form: p = sum alpha_i e2_i / sum (1-alpha_i) e1_i\np_cf = sum(alpha[i] * e2[i] for i in \"AB\") / sum((1 - alpha[i]) * e1[i] for i in \"AB\")\n\n# --- independent numerical root of z1(p) = 0 (Brent on a wide bracket; closed form not used)\nlo, hi = 1e-6, 1e6\nassert z1(lo) > 0 and z1(hi) < 0\np_num = brentq(z1, lo, hi, xtol=1e-14, rtol=1e-15, maxiter=500)\n\nx = {i: demand(i, p_cf) for i in \"AB\"}\ned1, ed2 = z1(p_cf), z2(p_cf)\nwalras = p_cf * ed1 + ed2\n# Walras' law should hold at arbitrary prices too: check on a grid (diagnostic)\ngrid = np.logspace(-2, 2, 41)\nwalras_grid_max = float(max(abs(p * z1(p) + z2(p)) for p in grid))\n# diagnostic: excess demand of good 1 if the (inconsistent) summary-sheet aggregate were used\ned1_vs_sheet = float(sum(x[i][0] for i in \"AB\") - agg1_sheet)\n\nres = {\n \"task_id\": \"F5-conf-01\",\n \"price_ratio_p1_over_p2\": float(p_cf),\n \"x1_A\": float(x[\"A\"][0]), \"x2_A\": float(x[\"A\"][1]),\n \"x1_B\": float(x[\"B\"][0]), \"x2_B\": float(x[\"B\"][1]),\n \"excess_demand_good1\": float(ed1),\n \"excess_demand_good2\": float(ed2),\n \"walras_law_residual\": float(walras),\n \"walras_law_residual_max_abs_on_price_grid\": walras_grid_max,\n \"aggregate_endowment_good1\": float(agg1),\n \"aggregate_endowment_good2\": float(agg2),\n \"aggregate_endowment_good1_summary_sheet\": float(agg1_sheet),\n \"excess_demand_good1_vs_summary_sheet_aggregate\": ed1_vs_sheet,\n \"price_ratio_numerical\": float(p_num),\n \"price_abs_diff_closed_vs_numerical\": float(abs(p_cf - p_num)),\n \"wealth_A\": float(p_cf * e1[\"A\"] + e2[\"A\"]), \"wealth_B\": float(p_cf * e1[\"B\"] + e2[\"B\"]),\n \"feasibility\": \"complete\",\n \"feasibility_reason\": None,\n \"data_issues\": issues,\n \"n_input_rows\": n_rows,\n \"n_analysed\": 2,\n \"random_seed\": None,\n}\nwith open(os.path.join(O, \"results.json\"), \"w\") as f:\n json.dump(res, f, indent=2)\npd.DataFrame([{\"step\": 1, \"rule\": \"keep agents A and B with finite positive endowments\", \"n_before\": n_rows[\"endowments.csv\"],\n \"n_after\": 2, \"n_removed\": n_rows[\"endowments.csv\"] - 2,\n \"rationale\": \"no rows removed; both agents enter the equilibrium\"}]).to_csv(os.path.join(O, \"exclusions.csv\"), index=False)\nprint(json.dumps({k: res[k] for k in [\"price_ratio_p1_over_p2\", \"price_ratio_numerical\", \"x1_A\", \"x2_A\", \"x1_B\", \"x2_B\",\n \"excess_demand_good1\", \"walras_law_residual\"]}, indent=1))\nEOF\n~/wp29/venv/bin/python out/analysis.py && cat out/results.json | head -30","description":"Write and run analysis script"}}]}}47{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"b0f58d26-98ad-4a1e-8c1c-e2ad6939b9a1","timestamp":"2026-10-30T04:12:57.107Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"faf95651-bdb4-45e2-b18a-a0c785cdf979","keep":14,"tail":["ac38c1c8ccd1e703a089cb9a8530651211fe9f445adc1a929c675fb0c69669cf","da5d0bfac3f436ae6ea4b21d59df7d139c2b9778e50ca824f093c46e14671c29"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",15,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"697ac7a3dc3d163856f6362f1177310ec96798b965605429302512744dd102ff"}48{"parentUuid":"02ef53d3-3de4-41a4-90f5-cb99f929b8d7","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmdTkvBHYQbtUDU9Hyc","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3559,"cache_read_input_tokens":9244,"output_tokens":1623,"output_tokens_details":{"thinking_tokens":93},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":3559},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":846,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXmdTV3aP5SSKvJXEUAj","requestRef":"b0f58d26-98ad-4a1e-8c1c-e2ad6939b9a1","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"f95bccfe-8095-48d0-b0ac-cd5070aacf0a","timestamp":"2026-10-30T04:12:59.285Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}49{"parentUuid":"f95bccfe-8095-48d0-b0ac-cd5070aacf0a","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmdTkvBHYQbtUDU9Hyc","type":"message","role":"assistant","content":[{"type":"text","text":"Matches my hand derivation (5.6/6.4 = 0.875). Now audit, reproducibility check, and state files."}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3559,"cache_read_input_tokens":9244,"output_tokens":1623,"output_tokens_details":{"thinking_tokens":93},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":3559},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmdTV3aP5SSKvJXEUAj","requestRef":"b0f58d26-98ad-4a1e-8c1c-e2ad6939b9a1","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"8c675b62-859c-40a4-8413-2b011ae137d9","timestamp":"2026-10-30T04:12:59.287Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}50{"parentUuid":"8c675b62-859c-40a4-8413-2b011ae137d9","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmdTkvBHYQbtUDU9Hyc","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01NWxr9CxTjW94jhpu5GuM8c","name":"Bash","input":{"command":"cp out/results.json /tmp/r1.json && rm out/results.json out/exclusions.csv && ~/wp29/venv/bin/python out/analysis.py >/dev/null && cmp /tmp/r1.json out/results.json && echo IDENTICAL\ncat > out/state/data_audit.md <<'EOF'\n# Data audit\n| file | SHA-256 | rows | cols |\n|---|---|---|---|\n| data/endowments.csv | fc130a2f54c750a5834ec7314060d91f7984769c7c006ad04b98582a016ba74b | 2 | 3 (agent, good1, good2) |\n| data/parameters.csv | 717807e75337fbf4aff8e4d74e0fc0b83b799f78fa689172be0d501cb3e43983 | 4 | 3 (parameter, value, description) |\n\n- endowments: A=(8,2), B=(4,8); units of goods; no missing, no duplicates, all strictly positive. No dates (theoretical data).\n- parameters: alpha_A=0.4, alpha_B=0.6 (both in (0,1)); aggregate_endowment_good1=14, aggregate_endowment_good2=10.\n- **Anomaly:** sheet aggregate of good 1 (14) != sum of individual rows (8+4=12). Good 2 consistent (2+8=10).\n- **Decision:** individual endowments are the primary data (TASK.md) and determine wealth; aggregates are taken as row sums (12, 10). Sheet value 14 reported only as a diagnostic and in data_issues. Using 14 would be inconsistent with budget constraints (no price clears the market and Walras' law fails).\n- No information-availability violations: only data/ used; no time dimension.\n- Exclusions: none (see out/exclusions.csv; 2 raw -> 2 analysed).\nEOF\ncat > out/state/checks.md <<'EOF'\n# Verification checks\n1. Reproducibility: deleted results.json/exclusions.csv, re-ran analysis.py, `cmp` byte-identical -> PASS.\n2. Closed form vs independent Brent root of z1(p) on [1e-6,1e6]: |diff| = 1.1e-16 (price_abs_diff_closed_vs_numerical) -> PASS.\n3. Market clearing: excess_demand_good1 = 0.0, excess_demand_good2 = 0.0 -> PASS.\n4. Allocation sums: x1_A+x1_B = 12 = aggregate_endowment_good1; x2_A+x2_B = 10 = aggregate_endowment_good2 -> PASS.\n5. Walras' law: residual 0.0 at equilibrium; max |p z1 + z2| over 41-point log grid p in [0.01,100] = 5.7e-14 -> PASS (holds identically up to float rounding).\n6. Budget: wealth_A = 0.875*8+2 = 9; 0.875*4.1143+5.4 = 9.0; wealth_B = 11.5; 0.875*7.8857+4.6 = 11.5 -> PASS.\n7. Hand derivation: p = (0.4*2+0.6*8)/(0.6*8+0.4*4) = 5.6/6.4 = 0.875 -> PASS.\n8. Positivity / interiority: all consumptions > 0 -> PASS.\n9. Exclusion ledger: 2 raw - 0 removed = 2 = n_analysed -> PASS.\n10. Data-consistency check: sheet aggregate good1 (14) inconsistent with rows (12) -> FLAGGED, handled (data_issues).\nEOF\necho \"- 2026-10-30 P1: audited data; found aggregate good1 mismatch (14 vs 12); decided to use row sums. P1 passed.\n- 2026-10-30 P2: baseline = independent Brent root of z1(p) (price_ratio_numerical=0.875). P2 passed.\n- 2026-10-30 P3: analysis.py implemented (no randomness, seed null). P3 passed.\n- 2026-10-30 P4: re-run byte-identical; consistency checks in checks.md.\" >> out/state/log.md","description":"Reproducibility check and write audit/checks"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3559,"cache_read_input_tokens":9244,"output_tokens":1623,"output_tokens_details":{"thinking_tokens":93},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":3559},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":2,"requestId":"req_011CgXmdTV3aP5SSKvJXEUAj","requestRef":"b0f58d26-98ad-4a1e-8c1c-e2ad6939b9a1","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"ced895e4-1b33-4ac9-a270-56464879d45d","timestamp":"2026-10-30T04:13:11.670Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}51{"parentUuid":"ced895e4-1b33-4ac9-a270-56464879d45d","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01NWxr9CxTjW94jhpu5GuM8c","type":"tool_result","content":"IDENTICAL","is_error":false}]},"uuid":"55ce0132-d696-468a-a9f4-73f4dd9b98e9","timestamp":"2026-10-30T04:13:12.065Z","toolUseResult":{"stdout":"IDENTICAL","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"ced895e4-1b33-4ac9-a270-56464879d45d","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}52{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"a7ca3e1e6ac71c4aae0bc7dcc6b5453c068f8f699326ff1f86bc6c9c8912f84d","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"text","text":"Matches my hand derivation (5.6/6.4 = 0.875). Now audit, reproducibility check, and state files."},{"type":"tool_use","id":"toolu_01NWxr9CxTjW94jhpu5GuM8c","name":"Bash","input":{"command":"cp out/results.json /tmp/r1.json && rm out/results.json out/exclusions.csv && ~/wp29/venv/bin/python out/analysis.py >/dev/null && cmp /tmp/r1.json out/results.json && echo IDENTICAL\ncat > out/state/data_audit.md <<'EOF'\n# Data audit\n| file | SHA-256 | rows | cols |\n|---|---|---|---|\n| data/endowments.csv | fc130a2f54c750a5834ec7314060d91f7984769c7c006ad04b98582a016ba74b | 2 | 3 (agent, good1, good2) |\n| data/parameters.csv | 717807e75337fbf4aff8e4d74e0fc0b83b799f78fa689172be0d501cb3e43983 | 4 | 3 (parameter, value, description) |\n\n- endowments: A=(8,2), B=(4,8); units of goods; no missing, no duplicates, all strictly positive. No dates (theoretical data).\n- parameters: alpha_A=0.4, alpha_B=0.6 (both in (0,1)); aggregate_endowment_good1=14, aggregate_endowment_good2=10.\n- **Anomaly:** sheet aggregate of good 1 (14) != sum of individual rows (8+4=12). Good 2 consistent (2+8=10).\n- **Decision:** individual endowments are the primary data (TASK.md) and determine wealth; aggregates are taken as row sums (12, 10). Sheet value 14 reported only as a diagnostic and in data_issues. Using 14 would be inconsistent with budget constraints (no price clears the market and Walras' law fails).\n- No information-availability violations: only data/ used; no time dimension.\n- Exclusions: none (see out/exclusions.csv; 2 raw -> 2 analysed).\nEOF\ncat > out/state/checks.md <<'EOF'\n# Verification checks\n1. Reproducibility: deleted results.json/exclusions.csv, re-ran analysis.py, `cmp` byte-identical -> PASS.\n2. Closed form vs independent Brent root of z1(p) on [1e-6,1e6]: |diff| = 1.1e-16 (price_abs_diff_closed_vs_numerical) -> PASS.\n3. Market clearing: excess_demand_good1 = 0.0, excess_demand_good2 = 0.0 -> PASS.\n4. Allocation sums: x1_A+x1_B = 12 = aggregate_endowment_good1; x2_A+x2_B = 10 = aggregate_endowment_good2 -> PASS.\n5. Walras' law: residual 0.0 at equilibrium; max |p z1 + z2| over 41-point log grid p in [0.01,100] = 5.7e-14 -> PASS (holds identically up to float rounding).\n6. Budget: wealth_A = 0.875*8+2 = 9; 0.875*4.1143+5.4 = 9.0; wealth_B = 11.5; 0.875*7.8857+4.6 = 11.5 -> PASS.\n7. Hand derivation: p = (0.4*2+0.6*8)/(0.6*8+0.4*4) = 5.6/6.4 = 0.875 -> PASS.\n8. Positivity / interiority: all consumptions > 0 -> PASS.\n9. Exclusion ledger: 2 raw - 0 removed = 2 = n_analysed -> PASS.\n10. Data-consistency check: sheet aggregate good1 (14) inconsistent with rows (12) -> FLAGGED, handled (data_issues).\nEOF\necho \"- 2026-10-30 P1: audited data; found aggregate good1 mismatch (14 vs 12); decided to use row sums. P1 passed.\n- 2026-10-30 P2: baseline = independent Brent root of z1(p) (price_ratio_numerical=0.875). P2 passed.\n- 2026-10-30 P3: analysis.py implemented (no randomness, seed null). P3 passed.\n- 2026-10-30 P4: re-run byte-identical; consistency checks in checks.md.\" >> out/state/log.md","description":"Reproducibility check and write audit/checks"}}]}}53{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"329a6308-364d-4c5d-ab9a-b1a65fb6e31f","timestamp":"2026-10-30T04:13:12.067Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"b0f58d26-98ad-4a1e-8c1c-e2ad6939b9a1","keep":16,"tail":["a7ca3e1e6ac71c4aae0bc7dcc6b5453c068f8f699326ff1f86bc6c9c8912f84d","10bfc04f7f04580b4bcb7daf3f508c2f545b4e18da3fb58ceb10c3f2aaafe962"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",17,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"d5e5cbef6055d7e10d8e7ec91897688ff9148d99f1d3b57ae3897571feb0d9d1"}54{"parentUuid":"55ce0132-d696-468a-a9f4-73f4dd9b98e9","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmeZnLFrhbhVZktPoN6","type":"message","role":"assistant","content":[{"type":"text","text":"Now report, claims and phase ledger, then the gate."}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1635,"cache_read_input_tokens":12803,"output_tokens":3164,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1635},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXmeZUyRfnjcAUtNjkMp","requestRef":"329a6308-364d-4c5d-ab9a-b1a65fb6e31f","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"15dadd77-f933-48cc-ae8c-318ea9478937","timestamp":"2026-10-30T04:13:13.432Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}55{"parentUuid":"15dadd77-f933-48cc-ae8c-318ea9478937","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmeZnLFrhbhVZktPoN6","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01GdnNrAFbkh9TEeMLPZEa6G","name":"Bash","input":{"command":"cat > out/report.md <<'EOF'\n# F5-conf-01 — Competitive equilibrium of a 2×2 Cobb–Douglas exchange economy\n\n## Question\nAgents A and B have u_i = α_i ln x1 + (1−α_i) ln x2 and endowments (e1_i, e2_i). Good 2 is numeraire (p2 = 1). We find the Walrasian relative price p = p1/p2 and the equilibrium allocation, check market clearing and Walras' law, and confirm the closed-form price by solving z1(p) = 0 numerically.\n\n## Data and exclusions\n- `data/endowments.csv` (2 rows): A = (8, 2), B = (4, 8). `data/parameters.csv` (4 rows): α_A = 0.4, α_B = 0.6, plus summary-sheet aggregates (`n_input_rows`).\n- **Data issue (`data_issues`):** the summary sheet gives `aggregate_endowment_good1` = 14 (`aggregate_endowment_good1_summary_sheet`). The individual endowments add up to 8 + 4 = 12. For good 2 the sheet agrees with the rows (10). The task calls the individual endowments the primary data, and they also set each agent's wealth. So I took the aggregates as row sums: `aggregate_endowment_good1` = 12 and `aggregate_endowment_good2` = 10. Using 14 would contradict the budget constraints. At the equilibrium allocation it would show a spurious excess demand of −2 (`excess_demand_good1_vs_summary_sheet_aggregate`), and no price could clear that market.\n- No rows were excluded. Both agents are analysed (`n_analysed` = 2; `out/exclusions.csv`). SHA-256 hashes are in `out/state/data_audit.md`.\n\n## Method\n- **Demands** (p2 = 1, wealth w_i = p e1_i + e2_i): x1_i = α_i w_i / p and x2_i = (1−α_i) w_i.\n- **Closed form.** Market clearing for good 1 gives Σ α_i (p e1_i + e2_i) = p Σ e1_i. Solving: p* = Σ α_i e2_i / Σ (1−α_i) e1_i = (0.4·2 + 0.6·8)/(0.6·8 + 0.4·4) = 5.6/6.4.\n- **Assumptions:**\n - Cobb–Douglas with 0 < α_i < 1, so demands are interior and strictly positive.\n - Endowments are strictly positive, so wealth is positive at any p > 0.\n - Price normalisation p2 = 1.\n - Agents are price-takers.\n - With these preferences the equilibrium is unique, because z1(p) is strictly decreasing in p.\n- **Independent numerical validation:** Brent's method (`scipy.optimize.brentq`) on the aggregate excess demand z1(p) built from the individual demand functions, over the bracket [1e−6, 1e6]. The sign change was checked. The closed-form expression is not used in this step.\n- **Diagnostics:**\n - Walras' law, p·z1 + z2, evaluated at p* and also on a 41-point logarithmic grid of prices from 0.01 to 100.\n - Budget identities.\n- The method is deterministic and uses no randomness (`random_seed` = null).\n\n## Results\n- Closed-form price: `price_ratio_p1_over_p2` = 0.875. Numerical root: `price_ratio_numerical` = 0.875. The absolute difference is 1.1e−16 (`price_abs_diff_closed_vs_numerical`).\n- Allocation:\n - Agent A: `x1_A` ≈ 4.1143 (= 144/35), `x2_A` = 5.4.\n - Agent B: `x1_B` ≈ 7.8857 (= 276/35), `x2_B` = 4.6.\n - Wealth: `wealth_A` = 9 and `wealth_B` = 11.5.\n- Market clearing: `excess_demand_good1` = 0 (and `excess_demand_good2` = 0). The allocations add up to the aggregates 12 and 10.\n- Walras' law: `walras_law_residual` = 0 at p*. The largest absolute residual on the price grid is 5.7e−14 (`walras_law_residual_max_abs_on_price_grid`), consistent with an identity up to floating-point rounding.\n- `feasibility` = \"complete\".\n\n## Uncertainty\nThis is a deterministic theoretical calculation with no sampling uncertainty. The only numerical error is floating-point rounding, of order 1e−16 for the price (`price_abs_diff_closed_vs_numerical`) and 1e−13 for the Walras check (`walras_law_residual_max_abs_on_price_grid`). The main substantive uncertainty is the conflict between the inputs for the good-1 aggregate (see Limitations).\n\n## Limitations and open issues\n- The results depend on resolving the aggregate conflict (14 vs 12) in favour of the individual endowments. If the individual endowments were the ones in error (for example if some agent actually holds 2 more units of good 1), the equilibrium would be different, and the data cannot tell us which agent. I did not compute alternative scenarios because that would mean inventing an endowment.\n- Scope of the numerical validation: it confirms the closed-form price for this one parameter set only, by root-finding z1. It does not prove the general formula. Uniqueness comes from the analytical monotonicity of z1 under Cobb–Douglas, not from a numerical search over several roots.\n- The closed form assumes an interior solution, strictly positive endowments and p2 = 1. It does not apply to corner preferences (α ∈ {0, 1}) or zero wealth.\nEOF\ncat > out/claims.json <<'EOF'\n[\n {\"id\":\"C1\",\"text\":\"The competitive equilibrium relative price is p1/p2 = 0.875 (closed form), confirmed by independent root-finding of z1(p).\",\"results_keys\":[\"price_ratio_p1_over_p2\",\"price_ratio_numerical\",\"price_abs_diff_closed_vs_numerical\"],\"status\":\"supported\",\"caveat\":\"Conditional on using individual endowments (aggregate good 1 = 12) rather than the inconsistent summary-sheet value 14.\"},\n {\"id\":\"C2\",\"text\":\"Equilibrium allocation: A consumes (4.1143, 5.4), B consumes (7.8857, 4.6).\",\"results_keys\":[\"x1_A\",\"x2_A\",\"x1_B\",\"x2_B\"],\"status\":\"supported\",\"caveat\":\"Same data-resolution caveat as C1.\"},\n {\"id\":\"C3\",\"text\":\"Markets clear at the equilibrium price (excess demand of good 1 and 2 are zero).\",\"results_keys\":[\"excess_demand_good1\",\"excess_demand_good2\",\"aggregate_endowment_good1\",\"aggregate_endowment_good2\"],\"status\":\"supported\",\"caveat\":\"Up to floating-point rounding.\"},\n {\"id\":\"C4\",\"text\":\"Walras' law holds: p*z1+z2 is zero at equilibrium and below 1e-13 in absolute value across a price grid.\",\"results_keys\":[\"walras_law_residual\",\"walras_law_residual_max_abs_on_price_grid\"],\"status\":\"supported\",\"caveat\":\"Grid check is numerical over p in [0.01,100].\"},\n {\"id\":\"C5\",\"text\":\"The summary-sheet aggregate endowment of good 1 (14) is inconsistent with the individual endowments (12); the row sum was used.\",\"results_keys\":[\"data_issues\",\"aggregate_endowment_good1\",\"aggregate_endowment_good1_summary_sheet\",\"excess_demand_good1_vs_summary_sheet_aggregate\"],\"status\":\"supported\",\"caveat\":\"Which input is wrong cannot be determined from the data; individual endowments treated as primary per TASK.md.\"}\n]\nEOF\ncat > out/state/phases.json <<'EOF'\n{\n \"P0\":{\"status\":\"passed\",\"checks\":[\"TASK.md read fully\",\"contract.md written\"],\"notes\":\"\"},\n \"P1\":{\"status\":\"passed\",\"checks\":[\"SHA-256, rows, cols recorded\",\"missing/duplicates/positivity checked\",\"aggregate mismatch good1 14 vs 12 detected and handled\",\"exclusions.csv: 2-0=2\"],\"notes\":\"see data_audit.md\"},\n \"P2\":{\"status\":\"passed\",\"checks\":[\"baseline numerical Brent root price_ratio_numerical=0.875 computed\"],\"notes\":\"\"},\n \"P3\":{\"status\":\"passed\",\"checks\":[\"analysis.py reads only data/, deterministic, no seed\"],\"notes\":\"\"},\n \"P4\":{\"status\":\"running\",\"checks\":[\"clean re-run byte-identical (cmp)\",\"consistency checks 1-10 in checks.md all pass/flagged-handled\"],\"notes\":\"gate pending\"},\n \"P5\":{\"status\":\"pending\",\"checks\":[],\"notes\":\"\"}\n}\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py .","description":"Write report, claims, phases; run gate"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":1635,"cache_read_input_tokens":12803,"output_tokens":3164,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":1635},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmeZUyRfnjcAUtNjkMp","requestRef":"329a6308-364d-4c5d-ab9a-b1a65fb6e31f","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"e2ce904f-ec72-4281-9e81-77322fee5e0a","timestamp":"2026-10-30T04:13:38.623Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}56{"type":"last-prompt","lastPrompt":"Begin","leafUuid":"e2ce904f-ec72-4281-9e81-77322fee5e0a","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}57{"type":"atis-latch","atis":"","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}58{"parentUuid":"e2ce904f-ec72-4281-9e81-77322fee5e0a","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"type":"tool_result","content":"Exit code 1\nPGAR GATE pgar_gate/1.0 — FAILED (1 of 31 checks failed)\n [ok] file:out/results.json: present\n [ok] file:out/report.md: present\n [ok] file:out/analysis.py: present\n [ok] file:out/claims.json: present\n [ok] results_json: parsed\n [ok] key:task_id: ok\n [ok] key:price_ratio_p1_over_p2: ok\n [ok] key:x1_A: ok\n [ok] key:x2_A: ok\n [ok] key:x1_B: ok\n [ok] key:x2_B: ok\n [ok] key:excess_demand_good1: ok\n [ok] key:walras_law_residual: ok\n [ok] key:aggregate_endowment_good1: ok\n [ok] key:aggregate_endowment_good2: ok\n [ok] key:price_ratio_numerical: ok\n [ok] key:feasibility: ok\n [ok] key:feasibility_reason: ok\n [ok] key:data_issues: ok\n [ok] key:n_input_rows: ok\n [ok] key:n_analysed: ok\n [ok] key:random_seed: ok\n [ok] section:Question: present\n [ok] section:Data and exclusions: present\n [ok] section:Method: present\n [ok] section:Results: present\n [ok] section:Uncertainty: present\n [ok] section:Limitations and open issues: present\n [ok] claims_json: 5 claims, all keys resolve\n [FAIL] phase_ledger: phases not terminal: ['P4', 'P5']\n [ok] reproducibility: regenerated in 0.3s; identical within tolerance\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0040/out/state/gate_receipts/20261030T041339.046984Z.json","is_error":true,"tool_use_id":"toolu_01GdnNrAFbkh9TEeMLPZEa6G"}]},"uuid":"552d7abc-bec4-4da0-b3fa-dd0c30ee109c","timestamp":"2026-10-30T04:13:39.052Z","toolUseResult":"Error: Exit code 1\nPGAR GATE pgar_gate/1.0 — FAILED (1 of 31 checks failed)\n [ok] file:out/results.json: present\n [ok] file:out/report.md: present\n [ok] file:out/analysis.py: present\n [ok] file:out/claims.json: present\n [ok] results_json: parsed\n [ok] key:task_id: ok\n [ok] key:price_ratio_p1_over_p2: ok\n [ok] key:x1_A: ok\n [ok] key:x2_A: ok\n [ok] key:x1_B: ok\n [ok] key:x2_B: ok\n [ok] key:excess_demand_good1: ok\n [ok] key:walras_law_residual: ok\n [ok] key:aggregate_endowment_good1: ok\n [ok] key:aggregate_endowment_good2: ok\n [ok] key:price_ratio_numerical: ok\n [ok] key:feasibility: ok\n [ok] key:feasibility_reason: ok\n [ok] key:data_issues: ok\n [ok] key:n_input_rows: ok\n [ok] key:n_analysed: ok\n [ok] key:random_seed: ok\n [ok] section:Question: present\n [ok] section:Data and exclusions: present\n [ok] section:Method: present\n [ok] section:Results: present\n [ok] section:Uncertainty: present\n [ok] section:Limitations and open issues: present\n [ok] claims_json: 5 claims, all keys resolve\n [FAIL] phase_ledger: phases not terminal: ['P4', 'P5']\n [ok] reproducibility: regenerated in 0.3s; identical within tolerance\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0040/out/state/gate_receipts/20261030T041339.046984Z.json","sandboxed":false,"sourceToolAssistantUUID":"e2ce904f-ec72-4281-9e81-77322fee5e0a","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}59{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"30149c8d77e2f8e046c5332b9e75cb8de9e6e2f71b66cacd2262b0d5dd36c9d1","message":{"role":"assistant","content":[{"type":"text","text":"Now report, claims and phase ledger, then the gate."},{"type":"tool_use","id":"toolu_01GdnNrAFbkh9TEeMLPZEa6G","name":"Bash","input":{"command":"cat > out/report.md <<'EOF'\n# F5-conf-01 — Competitive equilibrium of a 2×2 Cobb–Douglas exchange economy\n\n## Question\nAgents A and B have u_i = α_i ln x1 + (1−α_i) ln x2 and endowments (e1_i, e2_i). Good 2 is numeraire (p2 = 1). We find the Walrasian relative price p = p1/p2 and the equilibrium allocation, check market clearing and Walras' law, and confirm the closed-form price by solving z1(p) = 0 numerically.\n\n## Data and exclusions\n- `data/endowments.csv` (2 rows): A = (8, 2), B = (4, 8). `data/parameters.csv` (4 rows): α_A = 0.4, α_B = 0.6, plus summary-sheet aggregates (`n_input_rows`).\n- **Data issue (`data_issues`):** the summary sheet gives `aggregate_endowment_good1` = 14 (`aggregate_endowment_good1_summary_sheet`). The individual endowments add up to 8 + 4 = 12. For good 2 the sheet agrees with the rows (10). The task calls the individual endowments the primary data, and they also set each agent's wealth. So I took the aggregates as row sums: `aggregate_endowment_good1` = 12 and `aggregate_endowment_good2` = 10. Using 14 would contradict the budget constraints. At the equilibrium allocation it would show a spurious excess demand of −2 (`excess_demand_good1_vs_summary_sheet_aggregate`), and no price could clear that market.\n- No rows were excluded. Both agents are analysed (`n_analysed` = 2; `out/exclusions.csv`). SHA-256 hashes are in `out/state/data_audit.md`.\n\n## Method\n- **Demands** (p2 = 1, wealth w_i = p e1_i + e2_i): x1_i = α_i w_i / p and x2_i = (1−α_i) w_i.\n- **Closed form.** Market clearing for good 1 gives Σ α_i (p e1_i + e2_i) = p Σ e1_i. Solving: p* = Σ α_i e2_i / Σ (1−α_i) e1_i = (0.4·2 + 0.6·8)/(0.6·8 + 0.4·4) = 5.6/6.4.\n- **Assumptions:**\n - Cobb–Douglas with 0 < α_i < 1, so demands are interior and strictly positive.\n - Endowments are strictly positive, so wealth is positive at any p > 0.\n - Price normalisation p2 = 1.\n - Agents are price-takers.\n - With these preferences the equilibrium is unique, because z1(p) is strictly decreasing in p.\n- **Independent numerical validation:** Brent's method (`scipy.optimize.brentq`) on the aggregate excess demand z1(p) built from the individual demand functions, over the bracket [1e−6, 1e6]. The sign change was checked. The closed-form expression is not used in this step.\n- **Diagnostics:**\n - Walras' law, p·z1 + z2, evaluated at p* and also on a 41-point logarithmic grid of prices from 0.01 to 100.\n - Budget identities.\n- The method is deterministic and uses no randomness (`random_seed` = null).\n\n## Results\n- Closed-form price: `price_ratio_p1_over_p2` = 0.875. Numerical root: `price_ratio_numerical` = 0.875. The absolute difference is 1.1e−16 (`price_abs_diff_closed_vs_numerical`).\n- Allocation:\n - Agent A: `x1_A` ≈ 4.1143 (= 144/35), `x2_A` = 5.4.\n - Agent B: `x1_B` ≈ 7.8857 (= 276/35), `x2_B` = 4.6.\n - Wealth: `wealth_A` = 9 and `wealth_B` = 11.5.\n- Market clearing: `excess_demand_good1` = 0 (and `excess_demand_good2` = 0). The allocations add up to the aggregates 12 and 10.\n- Walras' law: `walras_law_residual` = 0 at p*. The largest absolute residual on the price grid is 5.7e−14 (`walras_law_residual_max_abs_on_price_grid`), consistent with an identity up to floating-point rounding.\n- `feasibility` = \"complete\".\n\n## Uncertainty\nThis is a deterministic theoretical calculation with no sampling uncertainty. The only numerical error is floating-point rounding, of order 1e−16 for the price (`price_abs_diff_closed_vs_numerical`) and 1e−13 for the Walras check (`walras_law_residual_max_abs_on_price_grid`). The main substantive uncertainty is the conflict between the inputs for the good-1 aggregate (see Limitations).\n\n## Limitations and open issues\n- The results depend on resolving the aggregate conflict (14 vs 12) in favour of the individual endowments. If the individual endowments were the ones in error (for example if some agent actually holds 2 more units of good 1), the equilibrium would be different, and the data cannot tell us which agent. I did not compute alternative scenarios because that would mean inventing an endowment.\n- Scope of the numerical validation: it confirms the closed-form price for this one parameter set only, by root-finding z1. It does not prove the general formula. Uniqueness comes from the analytical monotonicity of z1 under Cobb–Douglas, not from a numerical search over several roots.\n- The closed form assumes an interior solution, strictly positive endowments and p2 = 1. It does not apply to corner preferences (α ∈ {0, 1}) or zero wealth.\nEOF\ncat > out/claims.json <<'EOF'\n[\n {\"id\":\"C1\",\"text\":\"The competitive equilibrium relative price is p1/p2 = 0.875 (closed form), confirmed by independent root-finding of z1(p).\",\"results_keys\":[\"price_ratio_p1_over_p2\",\"price_ratio_numerical\",\"price_abs_diff_closed_vs_numerical\"],\"status\":\"supported\",\"caveat\":\"Conditional on using individual endowments (aggregate good 1 = 12) rather than the inconsistent summary-sheet value 14.\"},\n {\"id\":\"C2\",\"text\":\"Equilibrium allocation: A consumes (4.1143, 5.4), B consumes (7.8857, 4.6).\",\"results_keys\":[\"x1_A\",\"x2_A\",\"x1_B\",\"x2_B\"],\"status\":\"supported\",\"caveat\":\"Same data-resolution caveat as C1.\"},\n {\"id\":\"C3\",\"text\":\"Markets clear at the equilibrium price (excess demand of good 1 and 2 are zero).\",\"results_keys\":[\"excess_demand_good1\",\"excess_demand_good2\",\"aggregate_endowment_good1\",\"aggregate_endowment_good2\"],\"status\":\"supported\",\"caveat\":\"Up to floating-point rounding.\"},\n {\"id\":\"C4\",\"text\":\"Walras' law holds: p*z1+z2 is zero at equilibrium and below 1e-13 in absolute value across a price grid.\",\"results_keys\":[\"walras_law_residual\",\"walras_law_residual_max_abs_on_price_grid\"],\"status\":\"supported\",\"caveat\":\"Grid check is numerical over p in [0.01,100].\"},\n {\"id\":\"C5\",\"text\":\"The summary-sheet aggregate endowment of good 1 (14) is inconsistent with the individual endowments (12); the row sum was used.\",\"results_keys\":[\"data_issues\",\"aggregate_endowment_good1\",\"aggregate_endowment_good1_summary_sheet\",\"excess_demand_good1_vs_summary_sheet_aggregate\"],\"status\":\"supported\",\"caveat\":\"Which input is wrong cannot be determined from the data; individual endowments treated as primary per TASK.md.\"}\n]\nEOF\ncat > out/state/phases.json <<'EOF'\n{\n \"P0\":{\"status\":\"passed\",\"checks\":[\"TASK.md read fully\",\"contract.md written\"],\"notes\":\"\"},\n \"P1\":{\"status\":\"passed\",\"checks\":[\"SHA-256, rows, cols recorded\",\"missing/duplicates/positivity checked\",\"aggregate mismatch good1 14 vs 12 detected and handled\",\"exclusions.csv: 2-0=2\"],\"notes\":\"see data_audit.md\"},\n \"P2\":{\"status\":\"passed\",\"checks\":[\"baseline numerical Brent root price_ratio_numerical=0.875 computed\"],\"notes\":\"\"},\n \"P3\":{\"status\":\"passed\",\"checks\":[\"analysis.py reads only data/, deterministic, no seed\"],\"notes\":\"\"},\n \"P4\":{\"status\":\"running\",\"checks\":[\"clean re-run byte-identical (cmp)\",\"consistency checks 1-10 in checks.md all pass/flagged-handled\"],\"notes\":\"gate pending\"},\n \"P5\":{\"status\":\"pending\",\"checks\":[],\"notes\":\"\"}\n}\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py .","description":"Write report, claims, phases; run gate"}}]}}60{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"8fd5c414-ca71-4102-97cb-97be9ae14c28","timestamp":"2026-10-30T04:13:39.055Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"329a6308-364d-4c5d-ab9a-b1a65fb6e31f","keep":18,"tail":["30149c8d77e2f8e046c5332b9e75cb8de9e6e2f71b66cacd2262b0d5dd36c9d1","1b19d77e05ee7e8058d5cfa17695429a6cee8404b9919cb46018dae36f13cf8f"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",19,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"d2fe06f77157e230cf36a680c0d5121e1ac65a7920cc887c323c89e481f7f4ad"}61{"parentUuid":"552d7abc-bec4-4da0-b3fa-dd0c30ee109c","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmgZBRVyEBHYuSsmtuL","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3815,"cache_read_input_tokens":14438,"output_tokens":488,"output_tokens_details":{"thinking_tokens":42},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":3815},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":749,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXmgYqqmHBV4jeTB8agF","requestRef":"8fd5c414-ca71-4102-97cb-97be9ae14c28","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"5a1c7357-8c84-45d0-8426-7161d1d658b2","timestamp":"2026-10-30T04:13:41.122Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}62{"parentUuid":"5a1c7357-8c84-45d0-8426-7161d1d658b2","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmgZBRVyEBHYuSsmtuL","type":"message","role":"assistant","content":[{"type":"text","text":"The only failure is the phase ledger not being in a final state yet, which is expected at this point. I'll record the P4 receipt, set P4 and P5 to passed, and run the gate again."}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3815,"cache_read_input_tokens":14438,"output_tokens":488,"output_tokens_details":{"thinking_tokens":42},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":3815},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmgYqqmHBV4jeTB8agF","requestRef":"8fd5c414-ca71-4102-97cb-97be9ae14c28","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"ffbeb4e7-3759-42cc-9bca-841899109f01","timestamp":"2026-10-30T04:13:41.126Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}63{"parentUuid":"ffbeb4e7-3759-42cc-9bca-841899109f01","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmgZBRVyEBHYuSsmtuL","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_01UUkXewJXMib4RsmsfeKUHS","name":"Bash","input":{"command":"~/wp29/venv/bin/python - <<'EOF'\nimport json\np=json.load(open('out/state/phases.json'))\np['P4']={\"status\":\"passed\",\"checks\":p['P4']['checks']+[\"gate run 20261030T041339.046984Z: 30/31 ok, only failure = phases not terminal (expected mid-run); reproducibility ok\"],\"notes\":\"receipt out/state/gate_receipts/20261030T041339.046984Z.json\"}\np['P5']={\"status\":\"passed\",\"checks\":[\"report.md with 6 sections, every number cites a results key\",\"claims.json 5 claims, keys resolve\",\"final gate run (see log.md)\"],\"notes\":\"\"}\njson.dump(p,open('out/state/phases.json','w'),indent=1)\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | tail -4; ls out/state/gate_receipts","description":"Finalize phases and rerun gate"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":3815,"cache_read_input_tokens":14438,"output_tokens":488,"output_tokens_details":{"thinking_tokens":42},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":3815},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":2,"requestId":"req_011CgXmgYqqmHBV4jeTB8agF","requestRef":"8fd5c414-ca71-4102-97cb-97be9ae14c28","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"da5ffb35-c358-4a66-8853-e63f31398c62","timestamp":"2026-10-30T04:13:43.780Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}64{"parentUuid":"da5ffb35-c358-4a66-8853-e63f31398c62","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01UUkXewJXMib4RsmsfeKUHS","type":"tool_result","content":" [ok] claims_json: 5 claims, all keys resolve\n [ok] phase_ledger: consistent\n [ok] reproducibility: regenerated in 0.3s; identical within tolerance\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0040/out/state/gate_receipts/20261030T041344.199251Z.json\n20261030T041339.046984Z.json\n20261030T041344.199251Z.json","is_error":false}]},"uuid":"ce05af55-ab60-4ab7-8dcd-b606b3b12a30","timestamp":"2026-10-30T04:13:44.206Z","toolUseResult":{"stdout":" [ok] claims_json: 5 claims, all keys resolve\n [ok] phase_ledger: consistent\n [ok] reproducibility: regenerated in 0.3s; identical within tolerance\nreceipt: /Users/simon-pierreboucher/wp29/runs/RC0040/out/state/gate_receipts/20261030T041344.199251Z.json\n20261030T041339.046984Z.json\n20261030T041344.199251Z.json","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"da5ffb35-c358-4a66-8853-e63f31398c62","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}65{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"ab10db9080586ab8301f157cac81e174e5c1f683e4a228450bfbe96b96e9a3bc","message":{"role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"},{"type":"text","text":"The only failure is the phase ledger not being in a final state yet, which is expected at this point. I'll record the P4 receipt, set P4 and P5 to passed, and run the gate again."},{"type":"tool_use","id":"toolu_01UUkXewJXMib4RsmsfeKUHS","name":"Bash","input":{"command":"~/wp29/venv/bin/python - <<'EOF'\nimport json\np=json.load(open('out/state/phases.json'))\np['P4']={\"status\":\"passed\",\"checks\":p['P4']['checks']+[\"gate run 20261030T041339.046984Z: 30/31 ok, only failure = phases not terminal (expected mid-run); reproducibility ok\"],\"notes\":\"receipt out/state/gate_receipts/20261030T041339.046984Z.json\"}\np['P5']={\"status\":\"passed\",\"checks\":[\"report.md with 6 sections, every number cites a results key\",\"claims.json 5 claims, keys resolve\",\"final gate run (see log.md)\"],\"notes\":\"\"}\njson.dump(p,open('out/state/phases.json','w'),indent=1)\nEOF\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | tail -4; ls out/state/gate_receipts","description":"Finalize phases and rerun gate"}}]}}66{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"22d5c65c-224f-4c7a-a20b-ae47da352f6d","timestamp":"2026-10-30T04:13:44.208Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"8fd5c414-ca71-4102-97cb-97be9ae14c28","keep":20,"tail":["ab10db9080586ab8301f157cac81e174e5c1f683e4a228450bfbe96b96e9a3bc","4cb5ae9a99edc229bd803135c43b21bb21f2294a6737578f96b2a3334bd6495f"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",21,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"1382e9e190e44577b9c0a6e671bca7dec601dd62d894cdb2237242221abc51c2"}67{"parentUuid":"ce05af55-ab60-4ab7-8dcd-b606b3b12a30","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmgw3pPwBdFANc3MB2V","type":"message","role":"assistant","content":[{"type":"tool_use","id":"toolu_017RpCVDAKH9dJJNmx6UeUCN","name":"Bash","input":{"command":"~/wp29/venv/bin/python - <<'EOF'\nimport json\np=json.load(open('out/state/phases.json'))\np['P5']['notes']=\"final gate receipt out/state/gate_receipts/20261030T041344.199251Z.json: passed\"\njson.dump(p,open('out/state/phases.json','w'),indent=1)\nEOF\necho \"- 2026-10-30 P4 passed (gate 20261030T041339 only non-terminal-phase failure). P5: report/claims written; final gate 20261030T041344.199251Z passed.\" >> out/state/log.md\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | head -1","description":"Record final receipt and confirm gate"},"caller":{"type":"direct"}}],"container":null,"stop_reason":"tool_use","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":644,"cache_read_input_tokens":18253,"output_tokens":311,"output_tokens_details":{"thinking_tokens":0},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":644},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":0,"requestId":"req_011CgXmgvsPv3j224vg8XBsH","requestRef":"22d5c65c-224f-4c7a-a20b-ae47da352f6d","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"42311610-494e-4842-a6b5-9f2afb69b581","timestamp":"2026-10-30T04:13:47.378Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}68{"parentUuid":"42311610-494e-4842-a6b5-9f2afb69b581","isSidechain":false,"promptId":"5029cc98-dfba-4325-8ec6-8f03ca7229f1","type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_017RpCVDAKH9dJJNmx6UeUCN","type":"tool_result","content":"PGAR GATE pgar_gate/1.0 — PASSED (0 of 31 checks failed)","is_error":false}]},"uuid":"e1fdadd6-b522-417a-9018-2cb8d6ec2482","timestamp":"2026-10-30T04:13:47.808Z","toolUseResult":{"stdout":"PGAR GATE pgar_gate/1.0 — PASSED (0 of 31 checks failed)","stderr":"","interrupted":false,"isImage":false,"noOutputExpected":false},"sandboxed":false,"sourceToolAssistantUUID":"42311610-494e-4842-a6b5-9f2afb69b581","permissionDecision":{"decision":"accept","source":"config","reasonType":"rule","ruleSource":"cliArg"},"userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}69{"type":"api-request-blob","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","hash":"0a0aa5c8240d9751888821115c9cb91c948ba76c99958901eb6b796b90a6ff69","message":{"role":"assistant","content":[{"type":"tool_use","id":"toolu_017RpCVDAKH9dJJNmx6UeUCN","name":"Bash","input":{"command":"~/wp29/venv/bin/python - <<'EOF'\nimport json\np=json.load(open('out/state/phases.json'))\np['P5']['notes']=\"final gate receipt out/state/gate_receipts/20261030T041344.199251Z.json: passed\"\njson.dump(p,open('out/state/phases.json','w'),indent=1)\nEOF\necho \"- 2026-10-30 P4 passed (gate 20261030T041339 only non-terminal-phase failure). P5: report/claims written; final gate 20261030T041344.199251Z passed.\" >> out/state/log.md\n~/wp29/venv/bin/python ~/wp29/gates/pgar_gate.py . | head -1","description":"Record final receipt and confirm gate"}}]}}70{"type":"api-request","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","id":"199d9a8d-9d7b-4a89-8e9d-ae03fee22c79","timestamp":"2026-10-30T04:13:47.810Z","version":"2.1.314","querySource":"sdk","shapeHash":"1c3747920669ab82ea27ab052aa0bab36fc0aa70269b416ef75c2687d883c1ff","params":{"model":"claude-opus-5-5","betas":["claude-code-20250219","interleaved-thinking-2025-05-14","context-management-2025-06-27","prompt-caching-scope-2026-01-05","per-turn-control-2026-07-01","thinking-token-count-2026-05-13","mid-conversation-system-clear-at-2026-08-21","effort-2025-11-24","thinking-binding-controls-2026-08-01","thinking-display-updates-2026-08-18","cache-diagnosis-2026-04-07"],"max_tokens":128000,"thinking":{"type":"adaptive","display":"updates"},"context_management":{"edits":[{"type":"clear_thinking_20251015","keep":"all"}]},"output_config":{"effort":"medium"}},"base":"22d5c65c-224f-4c7a-a20b-ae47da352f6d","keep":22,"tail":["0a0aa5c8240d9751888821115c9cb91c948ba76c99958901eb6b796b90a6ff69","b0b089cb2d7e4223f8ba08afe75c5af25a4dffc664692c24231d21d174267da5"],"cacheControl":[{"path":["system",0],"value":{"type":"ephemeral"}},{"path":["system",1],"value":{"type":"ephemeral"}},{"path":["messages",23,"content",0],"value":{"type":"ephemeral"}}],"requestDigest":"0f4c14bb687ac348c47c7da78a201dbada162977d37d25f89bfd01f5921622b8"}71{"parentUuid":"e1fdadd6-b522-417a-9018-2cb8d6ec2482","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmhCYy8aPeticmtKK8x","type":"message","role":"assistant","content":[{"type":"thinking","thinking":"","signature":"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"}],"container":null,"stop_reason":"end_turn","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":351,"cache_read_input_tokens":18897,"output_tokens":783,"output_tokens_details":{"thinking_tokens":22},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":351},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"thinkingDurationMs":6406,"thinkingDisplay":"updates","apiBlockIndex":0,"requestId":"req_011CgXmhCG7hq83cWAjFqCMD","requestRef":"199d9a8d-9d7b-4a89-8e9d-ae03fee22c79","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"2e785fcb-ec9a-4563-b662-8bfada3c61fc","timestamp":"2026-10-30T04:13:55.461Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}72{"parentUuid":"2e785fcb-ec9a-4563-b662-8bfada3c61fc","isSidechain":false,"message":{"model":"claude-opus-5-5","id":"msg_011CgXmhCYy8aPeticmtKK8x","type":"message","role":"assistant","content":[{"type":"text","text":"I've computed the equilibrium and it checks out: the relative price is p1/p2 = 0.875. The closed-form formula and a separate numerical root-finding (Brent's method on the excess demand for good 1, without using the formula) agree to about 1e-16. The final gate run passed all 31 checks.\n\n| | Good 1 | Good 2 |\n|---|---|---|\n| Agent A | 4.1143 (= 144/35) | 5.4 |\n| Agent B | 7.8857 (= 276/35) | 4.6 |\n| Total (= total endowment) | 12 | 10 |\n\n- **Market clearing:** excess demand for both goods is 0 at the equilibrium price.\n- **Walras' law:** p·z1 + z2 is 0 at the equilibrium. Across 41 prices from 0.01 to 100 it never exceeds 5.7e-14, so it holds as an identity apart from rounding.\n- **Budgets:** both agents spend exactly their wealth (9 for A, 11.5 for B).\n\n**One problem in the inputs:** the summary sheet in `parameters.csv` gives the total endowment of good 1 as 14, but the two agents' endowments add up to 8 + 4 = 12. I used 12, because the task calls the individual endowments the primary data and they also set each agent's wealth. With 14, the equilibrium allocation would show an excess demand of −2 and no price could clear the market. This is recorded in `data_issues`.\n\nIf it's the individual endowments that are wrong instead, the equilibrium would be different. The data can't tell which agent would be affected, so I didn't compute alternatives. The closed form also assumes interior solutions (0 < α < 1), strictly positive endowments and good 2 as numeraire (p2 = 1). The numerical check confirms the price for this parameter set only. It doesn't prove the general formula.\n\nRe-running `analysis.py` from scratch reproduces `results.json` byte for byte. There is no randomness, so no seed was needed. The phase ledger and gate receipts are in `out/state/`.\n\nFiles are in `out/`:\n- `results.json`\n- `report.md`\n- `analysis.py`\n- `claims.json`\n- `exclusions.csv` (no rows removed)\n- `state/` (contract, data audit, checks, log)"}],"container":null,"stop_reason":"end_turn","stop_sequence":null,"stop_details":null,"usage":{"input_tokens":2,"cache_creation_input_tokens":351,"cache_read_input_tokens":18897,"output_tokens":783,"output_tokens_details":{"thinking_tokens":22},"server_tool_use":{"web_search_requests":0,"web_fetch_requests":0},"service_tier":"standard","cache_creation":{"ephemeral_1h_input_tokens":0,"ephemeral_5m_input_tokens":351},"inference_geo":"global","iterations":[],"speed":"standard","fallback_credit":null},"input_transformations":[],"diagnostics":null,"context_management":null},"apiBlockIndex":1,"requestId":"req_011CgXmhCG7hq83cWAjFqCMD","requestRef":"199d9a8d-9d7b-4a89-8e9d-ae03fee22c79","requestedModel":"claude-opus-5-5","type":"assistant","uuid":"90d8dcea-e584-47f7-915e-762dae3e4004","timestamp":"2026-10-30T04:13:55.464Z","effort":"medium","perTurnEffort":"medium","userType":"external","entrypoint":"sdk-cli","cwd":"/Users/simon-pierreboucher/wp29/runs/RC0040","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","version":"2.1.314","gitBranch":"HEAD"}73{"type":"last-prompt","lastPrompt":"Begin","leafUuid":"90d8dcea-e584-47f7-915e-762dae3e4004","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}74{"type":"atis-latch","atis":"","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b"}75{"type":"cost-state","sessionId":"2474322f-5dcb-467d-be88-c87aa5b2f81b","totalCostUSD":0.3277794,"totalAPIDuration":96997,"totalAPIDurationWithoutRetries":96994,"totalToolDuration":2102,"totalLinesAdded":0,"totalLinesRemoved":0,"totalDuration":99214,"startTime":1793333536264,"modelUsage":{"claude-opus-5-5":{"inputTokens":26,"outputTokens":10805,"thinkingTokens":733,"cacheReadInputTokens":114277,"cacheCreationInputTokens":17744,"cacheCreationEphemeral5mInputTokens":17744,"cacheCreationEphemeral1hInputTokens":0,"webSearchRequests":0,"costUSD":0.3277794}},"hasUnknownModelCost":false}76