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# Verification checks (P4)

# check outcome
1 Clean re-run of out/analysis.py regenerates byte-identical results.json PASS (cmp identical)
2 Market clearing: x1_A+x1_B = 12.0 = aggregate_endowment_good1; x2_A+x2_B = 10.0 = aggregate_endowment_good2 PASS
3 excess_demand_good1 = 0, excess_demand_good2 = 0, walras_law_residual = 0 (float) PASS
4 Budgets bind: A spends 9.0 = p8+2; B spends 11.5 = p4+8 PASS
5 MRS_A = MRS_B = p = 0.875 (Pareto efficiency / tangency) PASS
6 Exact rational arithmetic: p = 7/8, x1_A = 144/35 (=4.1142857...) matches float PASS
7 Closed-form vs brentq root of z1(p) on [1e-6,1e6]: abs diff 1.1e-16 PASS
8 All allocations strictly positive (interior solution) PASS
9 n_raw agents 2 - removed 0 = n_analysed 2 (exclusions.csv) PASS
10 Input discrepancy (sheet E1 14 vs sum 12) recorded in data_issues PASS
Files · 76f9a44a3a85fb2bc2b0b370a4ae4eed9b95e579
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