{
 "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": 0.75,
   "success_loss": 0.0,
   "n_cells": 108
  },
  {
   "regime": "federated",
   "admin_capacity_ratio": 0.5,
   "welfare_loss": 0.7963,
   "bits_loss": 0.9537,
   "success_loss": 0.7778,
   "n_cells": 108
  },
  {
   "regime": "federated",
   "admin_capacity_ratio": 2.0,
   "welfare_loss": 0.5,
   "bits_loss": 0.537,
   "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                 0.900                   -5.454           0.032           1.513
  records                   2.0      864                         0.712                        0.500                 1.000                 1.000                  -43.568           0.434          25.671
  central                   0.5      864                         0.000                        0.000                 0.000                 0.000                 2450.858          -0.493         -32.080
  central                   2.0      864                         0.330                        0.247                 1.000                 0.500                   19.546           0.409           9.651
federated                   0.5      864                         0.093                        0.042                 0.222                 0.179                  692.894          -0.293         -22.414
federated                   2.0      864                         0.499                        0.463                 1.000                 0.500                   -4.610           0.412          10.491
  shock_type    regime  admin_capacity_ratio  d_success_mean  d_bits_mean  kl_q_p_bits_mean
distribution   central                   0.5           0.000        6.286              1.03
distribution   central                   2.0           0.000        6.286              1.03
distribution federated                   0.5           0.000        4.224              1.03
distribution federated                   2.0           0.000        4.224              1.03
distribution      none                   2.0           0.000        0.000              1.03
distribution     norms                   2.0           0.000        1.031              1.03
distribution   records                   2.0           0.000        1.049              1.03
     network   central                   0.5           0.000        0.031              0.00
     network   central                   2.0          -0.074        0.031              0.00
     network federated                   0.5          -0.019        0.565              0.00
     network federated                   2.0          -0.075        0.565              0.00
     network      none                   2.0          -0.004        0.000              0.00
     network     norms                   2.0          -0.004        0.001              0.00
     network   records                   2.0          -0.070       -0.003              0.00
{
 "reference": {
  "central": {
   "success_rate": 0.997,
   "bits_per_success_incl_setup": 82.815,
   "welfare_per_agent": 42.6682
  },
  "federated": {
   "success_rate": 1.0,
   "bits_per_success_incl_setup": 53.2697,
   "welfare_per_agent": 43.6894
  },
  "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": 0.9303,
   "msgs_per_task": 8.8566,
   "root_load_mean": 47.6688
  },
  "8": {
   "success_rate": 0.9871,
   "msgs_per_task": 6.6146,
   "root_load_mean": 41.8192
  },
  "16": {
   "success_rate": 0.9959,
   "msgs_per_task": 6.2688,
   "root_load_mean": 208.7415
  }
 },
 "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