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1{2  "experiment": 11,3  "name": "protocol_comparison",4  "hypothesis": "Posted prices: sellers hold out for better matches (lower hazard, higher price conditional on sale), all dispersion is between-type; the urgency gradient of prices is preserved.",5  "rows": 6,6  "columns": [7    "theta",8    "Lam_s",9    "Lam_b",10    "S",11    "B",12    "Q",13    "sold_share",14    "mean_listing_duration",15    "mean_tom_sold",16    "mean_tom_sold_months",17    "buyer_mean_duration",18    "price_mean",19    "price_var_within",20    "price_var_between",21    "price_sd_total",22    "price_between_share",23    "V_min",24    "V_max",25    "pbar_patient",26    "pbar_urgent",27    "D_urgent",28    "D_mean",29    "eta_patient",30    "eta_urgent",31    "acc_patient",32    "acc_urgent",33    "p_star",34    "Gamma",35    "participation_ok",36    "welfare_total",37    "welfare_sellers",38    "welfare_buyers_net",39    "welfare_holding_costs",40    "free_entry_resid",41    "seller_resid_max",42    "converged",43    "n_theta_roots",44    "protocol",45    "A_mult"46  ],47  "env": {48    "python": "3.14.4",49    "numpy": "2.4.4",50    "scipy": "1.17.1",51    "pandas": "3.0.2",52    "config_hash": "0a165f317815d76c",53    "seed": 20261020,54    "timestamp": "2026-10-20T08:04:32"55  }56}