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# Verification checks (P4)

check outcome
Clean re-run of out/analysis.py reproduces out/results.json byte-identically PASS
Market clearing good 1: x1_A + x1_B = 12.0 = aggregate_endowment_good1 PASS (12.0)
Market clearing good 2: x2_A + x2_B = 10.0 = aggregate_endowment_good2 PASS (10.0)
excess_demand_good1 = 0 PASS (0.0)
walras_law_residual = 0 PASS (0.0)
Budgets bind: A 9.0 = 0.8758+2; B 11.5 = 0.8754+8 PASS
Optimality: MRS_A = MRS_B = p = 0.875 PASS
Closed-form vs numerical root (brentq on z1(p), not using closed form) PASS,
All allocations strictly positive (interior solution) PASS
n_analysed (2) = n_raw agents (2) − removed (0) per exclusions.csv PASS
Hand derivation: p = (0.42+0.68)/(12-(0.48+0.64)) = 5.6/6.4 = 0.875 PASS
Data issue (E1 summary 14 vs primary 12) reported in data_issues PASS
Files · 46a1f53512bec3cd5d9c16e8fc9d9da4129c09cc
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