{
 "runs_main": 6048,
 "runs_ablation": 584,
 "cells_main": 756,
 "institution_loss_shares": [
  {
   "regime": "central",
   "admin_capacity_ratio": 0.5,
   "welfare_loss": 1.0,
   "bits_loss": 1.0,
   "success_loss": 1.0,
   "n_cells": 108
  },
  {
   "regime": "central",
   "admin_capacity_ratio": 2.0,
   "welfare_loss": 0.5,
   "bits_loss": 0.5,
   "success_loss": 0.0,
   "n_cells": 108
  },
  {
   "regime": "federated",
   "admin_capacity_ratio": 0.5,
   "welfare_loss": 0.5556,
   "bits_loss": 0.5556,
   "success_loss": 0.2222,
   "n_cells": 108
  },
  {
   "regime": "federated",
   "admin_capacity_ratio": 2.0,
   "welfare_loss": 0.5,
   "bits_loss": 0.5,
   "success_loss": 0.0,
   "n_cells": 108
  },
  {
   "regime": "norms",
   "admin_capacity_ratio": 2.0,
   "welfare_loss": 0.0648,
   "bits_loss": 1.0,
   "success_loss": 0.0,
   "n_cells": 108
  },
  {
   "regime": "records",
   "admin_capacity_ratio": 2.0,
   "welfare_loss": 0.0,
   "bits_loss": 0.5,
   "success_loss": 0.0,
   "n_cells": 108
  }
 ],
 "theorem_checks": {
  "T1_code_shorter_than_raw_when_H_le_log2s_minus_1": true,
  "T1_cells_where_code_longer_than_raw": [
   {
    "s": 64,
    "zipf": 0.5,
    "H_p_bits": 5.781,
    "L_code_bits": 6.236,
    "L_raw_bits": 6.0
   }
  ],
  "T1_entropy_le_code_lt_entropy_plus_1": true,
  "T3_post_shock_extra_bits_per_recipient_norms_vs_KL": {
   "mean_extra_bits_per_recipient": 1.895726362235342,
   "mean_KL": 1.979594637192137,
   "within_KL_pm_1": true
  }
 }
}
   regime  admin_capacity_ratio  n_pairs  share_lower_bits_per_success  share_lower_bits_incl_setup  share_higher_success  share_higher_welfare  mean_d_bits_per_success  mean_d_success  mean_d_welfare
    norms                   2.0      864                         0.997                        0.000                 0.993                  0.90                   -5.454           0.032           1.513
  records                   2.0      864                         0.712                        0.500                 1.000                  1.00                  -43.568           0.434          25.671
  central                   0.5      864                         0.005                        0.000                 0.007                  0.00                  145.924          -0.442         -28.015
  central                   2.0      864                         0.718                        0.500                 1.000                  0.50                  -43.095           0.414          11.641
federated                   0.5      864                         0.613                        0.444                 0.833                  0.47                  -28.558           0.272           4.728
federated                   2.0      864                         0.718                        0.500                 1.000                  0.50                  -43.095           0.414          11.641
  shock_type    regime  admin_capacity_ratio  d_success_mean  d_bits_mean  kl_q_p_bits_mean
distribution   central                   0.5           0.000        0.523             0.515
distribution   central                   2.0           0.000        0.523             0.515
distribution federated                   0.5           0.000        0.523             0.515
distribution federated                   2.0           0.000        0.523             0.515
distribution      none                   2.0           0.000        0.000             0.515
distribution     norms                   2.0           0.000        0.516             0.515
distribution   records                   2.0           0.000        0.524             0.515
     network   central                   0.5           0.000        0.012             0.000
     network   central                   2.0          -0.076        0.012             0.000
     network federated                   0.5          -0.080        0.012             0.000
     network federated                   2.0          -0.076        0.012             0.000
     network      none                   2.0          -0.004        0.000             0.000
     network     norms                   2.0          -0.004        0.001             0.000
     network   records                   2.0          -0.070       -0.003             0.000
{
 "reference": {
  "central": {
   "success_rate": 1.0,
   "bits_per_success_incl_setup": 28.1329,
   "welfare_per_agent": 44.4486
  },
  "federated": {
   "success_rate": 1.0,
   "bits_per_success_incl_setup": 28.1329,
   "welfare_per_agent": 44.4486
  },
  "none": {
   "success_rate": 0.9178,
   "bits_per_success_incl_setup": 15.2547,
   "welfare_per_agent": 55.0433
  },
  "norms": {
   "success_rate": 0.9603,
   "bits_per_success_incl_setup": 23.7302,
   "welfare_per_agent": 57.2665
  },
  "records": {
   "success_rate": 1.0,
   "bits_per_success_incl_setup": 24.809,
   "welfare_per_agent": 59.3009
  }
 },
 "records_without_verification": {
  "success_rate": 0.9603,
  "bits_per_success_incl_setup": 25.8128,
  "welfare_per_agent": 57.1857
 },
 "norms_adaptation": {
  "0": {
   "d_bits": 0.0349,
   "success_post": 0.9634,
   "kl_q_p_bits": 1.9796
  },
  "10": {
   "d_bits": 1.9173,
   "success_post": 0.9634,
   "kl_q_p_bits": 1.9796
  },
  "1000": {
   "d_bits": 3.7915,
   "success_post": 0.9634,
   "kl_q_p_bits": 1.9796
  }
 },
 "breakeven_norms_wins_bits": {
  "s=16,zipf=0.0,T=40,learn=200.0": false,
  "s=64,zipf=0.0,T=40,learn=200.0": false,
  "s=64,zipf=0.5,T=40,learn=200.0": false,
  "s=64,zipf=1.0,T=10,learn=0.0": true,
  "s=64,zipf=1.0,T=10,learn=200.0": false,
  "s=64,zipf=1.0,T=10,learn=1000.0": false,
  "s=64,zipf=1.0,T=40,learn=0.0": true,
  "s=64,zipf=1.0,T=40,learn=200.0": false,
  "s=64,zipf=1.0,T=40,learn=1000.0": false,
  "s=64,zipf=1.0,T=160,learn=0.0": true,
  "s=64,zipf=1.0,T=160,learn=200.0": false,
  "s=64,zipf=1.0,T=160,learn=1000.0": false,
  "s=64,zipf=1.5,T=40,learn=200.0": false,
  "s=64,zipf=2.5,T=40,learn=200.0": false,
  "s=256,zipf=0.0,T=40,learn=200.0": false,
  "s=256,zipf=1.5,T=10,learn=200.0": false,
  "s=256,zipf=1.5,T=10,learn=1000.0": false,
  "s=256,zipf=1.5,T=40,learn=200.0": false,
  "s=256,zipf=1.5,T=40,learn=1000.0": false,
  "s=256,zipf=1.5,T=160,learn=200.0": true,
  "s=256,zipf=1.5,T=160,learn=1000.0": false
 },
 "heterogeneity_eps": {
  "eps=0.05,none": {
   "success_rate": 0.9835,
   "fail_decode_share": 0.0165
  },
  "eps=0.05,norms": {
   "success_rate": 0.9603,
   "fail_decode_share": 0.0397
  },
  "eps=0.25,none": {
   "success_rate": 0.9178,
   "fail_decode_share": 0.0822
  },
  "eps=0.25,norms": {
   "success_rate": 0.9603,
   "fail_decode_share": 0.0397
  },
  "eps=0.6,none": {
   "success_rate": 0.8077,
   "fail_decode_share": 0.1923
  },
  "eps=0.6,norms": {
   "success_rate": 0.9603,
   "fail_decode_share": 0.0397
  }
 },
 "federated_branching": {
  "4": {
   "success_rate": 1.0,
   "msgs_per_task": 8.8566,
   "root_load_mean": 47.6688
  },
  "8": {
   "success_rate": 1.0,
   "msgs_per_task": 6.6146,
   "root_load_mean": 41.75
  },
  "16": {
   "success_rate": 1.0,
   "msgs_per_task": 6.2688,
   "root_load_mean": 208.3938
  }
 },
 "coding_gain": {
  "s=16,zipf=0.0": {
   "H": 4.0,
   "L_code": 4.0,
   "L_raw": 4.0,
   "bits_per_task": 10.0
  },
  "s=64,zipf=0.0": {
   "H": 6.0,
   "L_code