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1{2  "experiment": 5,3  "name": "planner_benchmark",4  "hypothesis": "Bargaining power: higher seller share beta raises prices and lowers tightness and hazards; total welfare is maximised near the Hosios value beta = 1-alpha with homogeneous sellers; with heterogeneous sellers the welfare-maximising beta deviates (numerical).",5  "rows": 2,6  "columns": [7    "sellers",8    "theta_decentralised",9    "theta_planner",10    "welfare_decentralised",11    "welfare_planner",12    "vstar_decentralised",13    "vstar_planner",14    "planner_success"15  ],16  "env": {17    "python": "3.14.4",18    "numpy": "2.4.4",19    "scipy": "1.17.1",20    "pandas": "3.0.2",21    "config_hash": "0a165f317815d76c",22    "seed": 20261020,23    "timestamp": "2026-10-20T08:02:33"24  }25}