# Contract — F5-conf-01

Question: Walrasian equilibrium of a 2-agent, 2-good Cobb-Douglas exchange economy, good 2 numeraire (p2=1). 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 pz1+z2 (identically 0); numerical p from root-finding z1(p)=0 (independent of closed form). Assumptions: Cobb-Douglas with 0<alpha_i<1, strictly positive endowments => interior demands, unique equilibrium, p>0; price normalisation p2=1. 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, aggregate_endowment_good2, price_ratio_numerical, feasibility, feasibility_reason, data_issues, n_input_rows, n_analysed, random_seed); out/report.md (Question; Data and exclusions; Method; Results; Uncertainty; Limitations and open issues); out/analysis.py; out/claims.json; plus protocol files (state/, exclusions.csv). Information rules: only data/ files; numerical validation must root-find excess demand directly; report all data problems in data_issues. Invalidity: non-positive endowments, alpha outside (0,1), missing agent, inconsistent aggregate used in clearing condition.