{
 "campaign": "fiveseed_opus_v2",
 "cells": [
  {
   "cell_id": "all_rational__ceiling_vote",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_rational__ceiling_vote",
   "n_episodes": 120
  },
  {
   "cell_id": "all_rational__ceiling_continue",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_rational__ceiling_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_rational__placebo_vote",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_rational__placebo_vote",
   "n_episodes": 120
  },
  {
   "cell_id": "all_rational__placebo_continue",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_rational__placebo_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__ceiling_vote",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_oracle__ceiling_vote",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__ceiling_continue",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_oracle__ceiling_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__placebo_vote",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_oracle__placebo_vote",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__placebo_continue",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v2__all_oracle__placebo_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__unseeded_ballot_fixed",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/oraclefix_none_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__ceiling_continue_ballot_fixed",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/oraclefix_ceiling_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_oracle__placebo_continue_ballot_fixed",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/oraclefix_placebo_continue",
   "n_episodes": 120
  },
  {
   "cell_id": "all_llm__ceiling_vote",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v3__all_llm__ceiling_vote_attempt03",
   "n_episodes": 120
  },
  {
   "cell_id": "all_llm__placebo_vote",
   "run": "/juice2/scr2/siddharth/ii_mats/rational_agents/fiveseed_opus_v3__all_llm__placebo_vote_attempt03",
   "n_episodes": 120
  }
 ],
 "seeded_offer_manifest": "/juice2/u/siddharth/ii_mats/experiments/rational_agents/seeded_offer_manifest_v1.json",
 "bootstrap": {
  "samples": 10000,
  "seed": 20260810,
  "clusters": "24 bank instances, seeds resampled together"
 },
 "headline": [
  {
   "arm": "all_llm__ceiling_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_llm",
   "seeded_offer": "ceiling",
   "protocol_variant": "vote",
   "immediate_accept": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_llm",
   "seeded_offer": "placebo",
   "protocol_variant": "vote",
   "immediate_accept": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.67789,
    "ci_low": 0.640115,
    "ci_high": 0.7134702916666666,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__unseeded",
   "n_episodes": 120,
   "n_deals": 115,
   "logical_table": "all_llm",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.9583333333333334,
    "ci_low": 0.925,
    "ci_high": 0.9916666666666667,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.8726133333333334,
    "ci_low": 0.8328688333333333,
    "ci_high": 0.9110069791666665,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "n_episodes": 120,
   "n_deals": 94,
   "logical_table": "all_oracle",
   "seeded_offer": "ceiling",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.325,
    "ci_low": 0.21666666666666667,
    "ci_high": 0.43333333333333335,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.7833333333333333,
    "ci_low": 0.7,
    "ci_high": 0.8666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.325,
    "ci_low": 0.21666666666666667,
    "ci_high": 0.43333333333333335,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.7159525,
    "ci_low": 0.6377016875,
    "ci_high": 0.7917656875,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.45,
    "ci_low": 0.3466666666666666,
    "ci_high": 0.5566666666666668,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "ceiling",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.325,
    "ci_low": 0.21666666666666667,
    "ci_high": 0.43333333333333335,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.45,
    "ci_low": 0.325,
    "ci_high": 0.575,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.9238599999999999,
    "ci_low": 0.9012188333333334,
    "ci_high": 0.9460537708333333,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.5033333333333334,
    "ci_low": 0.3882916666666667,
    "ci_high": 0.6216666666666666,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "ceiling",
   "protocol_variant": "vote",
   "immediate_accept": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "n_episodes": 120,
   "n_deals": 84,
   "logical_table": "all_oracle",
   "seeded_offer": "placebo",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.075,
    "ci_low": 0.03333333333333333,
    "ci_high": 0.11666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.7,
    "ci_low": 0.5666666666666667,
    "ci_high": 0.825,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.075,
    "ci_low": 0.03333333333333333,
    "ci_high": 0.11666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.6278475,
    "ci_low": 0.5064189791666668,
    "ci_high": 0.7396327291666666,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.18000000000000002,
    "ci_low": 0.11,
    "ci_high": 0.25833333333333336,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "placebo",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.075,
    "ci_low": 0.03333333333333333,
    "ci_high": 0.11666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.16666666666666666,
    "ci_low": 0.075,
    "ci_high": 0.275,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.8766725,
    "ci_low": 0.8417972083333332,
    "ci_high": 0.9073425833333334,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.2233333333333333,
    "ci_low": 0.12666666666666665,
    "ci_high": 0.3333333333333333,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "placebo",
   "protocol_variant": "vote",
   "immediate_accept": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.67789,
    "ci_low": 0.640115,
    "ci_high": 0.7134702916666666,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__unseeded",
   "n_episodes": 120,
   "n_deals": 105,
   "logical_table": "all_oracle",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.875,
    "ci_low": 0.8166666666666667,
    "ci_high": 0.925,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.7907200000000001,
    "ci_low": 0.7348483541666667,
    "ci_high": 0.8429902499999998,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__unseeded_ballot_fixed",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.9068575,
    "ci_low": 0.8798025,
    "ci_high": 0.9332413541666666,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "n_episodes": 120,
   "n_deals": 28,
   "logical_table": "all_rational",
   "seeded_offer": "ceiling",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.23333333333333334,
    "ci_low": 0.11666666666666667,
    "ci_high": 0.36666666666666664,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.025,
    "ci_low": 0.0,
    "ci_high": 0.075,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.17739416666666669,
    "ci_low": 0.08863539583333334,
    "ci_high": 0.2793685,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.15666666666666665,
    "ci_low": 0.11833333333333333,
    "ci_high": 0.2,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_rational",
   "seeded_offer": "ceiling",
   "protocol_variant": "vote",
   "immediate_accept": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "n_episodes": 120,
   "n_deals": 31,
   "logical_table": "all_rational",
   "seeded_offer": "placebo",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.25833333333333336,
    "ci_low": 0.14166666666666666,
    "ci_high": 0.38354166666666367,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.008333333333333333,
    "ci_low": 0.0,
    "ci_high": 0.025,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.20095500000000002,
    "ci_low": 0.11534377083333333,
    "ci_high": 0.2971297916666666,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.04666666666666666,
    "ci_low": 0.03166666666666667,
    "ci_high": 0.06166666666666667,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_rational",
   "seeded_offer": "placebo",
   "protocol_variant": "vote",
   "immediate_accept": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.67789,
    "ci_low": 0.640115,
    "ci_high": 0.7134702916666665,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__unseeded",
   "n_episodes": 120,
   "n_deals": 28,
   "logical_table": "all_rational",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.23333333333333334,
    "ci_low": 0.13333333333333333,
    "ci_high": 0.35,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.18885833333333338,
    "ci_low": 0.11002097916666666,
    "ci_high": 0.27949872916666657,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "one_oracle__unseeded",
   "n_episodes": 120,
   "n_deals": 61,
   "logical_table": "one_oracle",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.5083333333333333,
    "ci_low": 0.4166666666666667,
    "ci_high": 0.6,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.46072500000000005,
    "ci_low": 0.37630189583333334,
    "ci_high": 0.5454883541666666,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "one_rational__unseeded",
   "n_episodes": 120,
   "n_deals": 92,
   "logical_table": "one_rational",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.7666666666666667,
    "ci_low": 0.6833333333333333,
    "ci_high": 0.8416666666666667,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.6864258333333334,
    "ci_low": 0.610999,
    "ci_high": 0.7610227916666665,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  }
 ],
 "basket": [
  {
   "arm": "all_llm__ceiling_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_llm",
   "seeded_offer": "ceiling",
   "protocol_variant": "vote",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.2316927993465146,
    "ci_low": 0.16416931236658275,
    "ci_high": 0.3016251542588082,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.06340530806592577,
    "ci_low": 0.04621342066542662,
    "ci_high": 0.08016618817726619,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.23120207602399725,
    "ci_low": 0.20280895838626992,
    "ci_high": 0.2590949029239802,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.5072264305135828,
    "ci_low": 0.3883416987943586,
    "ci_high": 0.6124490673641668,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.28726963907752484,
    "ci_low": 0.27619591012535444,
    "ci_high": 0.2976835637218877,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_llm",
   "seeded_offer": "placebo",
   "protocol_variant": "vote",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.11903506625939292,
    "ci_low": 0.08580777875848901,
    "ci_high": 0.15377106371105428,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.045328681122431234,
    "ci_low": 0.03383035904415395,
    "ci_high": 0.05688932357966242,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.33033094020978787,
    "ci_low": 0.2989408521174521,
    "ci_high": 0.36633293216444196,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.28744261624920875,
    "ci_low": 0.2152629861022006,
    "ci_high": 0.3582367411777551,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.3718388644394814,
    "ci_low": 0.34967173458834483,
    "ci_high": 0.39931775432883027,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__unseeded",
   "n_episodes": 120,
   "n_deals": 115,
   "logical_table": "all_llm",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 115,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.25662751078488905,
    "ci_low": 0.20553665275285074,
    "ci_high": 0.3068832314342412,
    "n": 115,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.07733378037747124,
    "ci_low": 0.06364213101773564,
    "ci_high": 0.08973048832378208,
    "n": 115,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.22312596428528939,
    "ci_low": 0.1991279584483856,
    "ci_high": 0.2468180437055837,
    "n": 115,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.5347356494115132,
    "ci_low": 0.456589902767696,
    "ci_high": 0.603191388914178,
    "n": 115,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.29899227726399724,
    "ci_low": 0.28721376010553057,
    "ci_high": 0.30908218186719705,
    "n": 115,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "n_episodes": 120,
   "n_deals": 94,
   "logical_table": "all_oracle",
   "seeded_offer": "ceiling",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 94,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.19071220289424076,
    "ci_low": 0.14323392715562516,
    "ci_high": 0.23853151594659147,
    "n": 94,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.05605336224709707,
    "ci_low": 0.04387871039706946,
    "ci_high": 0.06747264035193541,
    "n": 94,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.2688940089244175,
    "ci_low": 0.24468117483670382,
    "ci_high": 0.29311925922683435,
    "n": 94,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.46680616319858687,
    "ci_low": 0.37379659648909297,
    "ci_high": 0.5468752561270701,
    "n": 94,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.3129565106713585,
    "ci_low": 0.2996601396735264,
    "ci_high": 0.3263787478799832,
    "n": 94,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "ceiling",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.1827051298823736,
    "ci_low": 0.132059255071726,
    "ci_high": 0.23836497361602965,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.05289588244432545,
    "ci_low": 0.04009928837355295,
    "ci_high": 0.06586901573216013,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.27265460578016404,
    "ci_low": 0.2441764466456611,
    "ci_high": 0.29841077774776936,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.43766442752696527,
    "ci_low": 0.34139817029051606,
    "ci_high": 0.527178812072976,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.31214808550284945,
    "ci_low": 0.2979956411509863,
    "ci_high": 0.324917507495217,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "ceiling",
   "protocol_variant": "vote",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.23169279934651463,
    "ci_low": 0.16416931236658275,
    "ci_high": 0.3016251542588082,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.06340530806592576,
    "ci_low": 0.04621342066542662,
    "ci_high": 0.08016618817726619,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.23120207602399728,
    "ci_low": 0.20280895838626992,
    "ci_high": 0.2590949029239802,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.507226430513583,
    "ci_low": 0.3883416987943586,
    "ci_high": 0.6124490673641668,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.28726963907752484,
    "ci_low": 0.27619591012535444,
    "ci_high": 0.2976835637218877,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "n_episodes": 120,
   "n_deals": 84,
   "logical_table": "all_oracle",
   "seeded_offer": "placebo",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 84,
    "n_instances": 23
   },
   "worst_off": {
    "estimate": 0.21248409814018818,
    "ci_low": 0.1694471099832047,
    "ci_high": 0.25728310559730383,
    "n": 84,
    "n_instances": 23
   },
   "worst_off_share": {
    "estimate": 0.062416778864698395,
    "ci_low": 0.05224348297566611,
    "ci_high": 0.07233521763037296,
    "n": 84,
    "n_instances": 23
   },
   "normalized_gini": {
    "estimate": 0.2650520616190213,
    "ci_low": 0.23924936070868283,
    "ci_high": 0.2911433762452277,
    "n": 84,
    "n_instances": 23
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.5218769379274814,
    "ci_low": 0.46916488685091545,
    "ci_high": 0.5721880120292061,
    "n": 84,
    "n_instances": 23
   },
   "max_share": {
    "estimate": 0.31551273843260336,
    "ci_low": 0.3004989636492877,
    "ci_high": 0.3309941407718242,
    "n": 84,
    "n_instances": 23
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "placebo",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.17164751640767778,
    "ci_low": 0.12696590216960502,
    "ci_high": 0.22034410049382522,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.050539138017344866,
    "ci_low": 0.03915326836250376,
    "ci_high": 0.06198780170795561,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.29494958144607614,
    "ci_low": 0.2622750125504803,
    "ci_high": 0.329156809002816,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.42465644300575983,
    "ci_low": 0.3385198667955118,
    "ci_high": 0.5049983253464736,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.3302936500617199,
    "ci_low": 0.3109820068525856,
    "ci_high": 0.35204965685126843,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "placebo",
   "protocol_variant": "vote",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.1190350662593929,
    "ci_low": 0.08580777875848901,
    "ci_high": 0.15377106371105434,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.045328681122431234,
    "ci_low": 0.03383035904415394,
    "ci_high": 0.05688932357966242,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.3303309402097879,
    "ci_low": 0.2989408521174521,
    "ci_high": 0.36633293216444196,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.28744261624920875,
    "ci_low": 0.21526298610220063,
    "ci_high": 0.3582367411777551,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.3718388644394814,
    "ci_low": 0.3496717345883449,
    "ci_high": 0.39931775432883027,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__unseeded",
   "n_episodes": 120,
   "n_deals": 105,
   "logical_table": "all_oracle",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 105,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.171502430027302,
    "ci_low": 0.12768823466661813,
    "ci_high": 0.21717096407605613,
    "n": 105,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.05042552652512653,
    "ci_low": 0.03918154987093213,
    "ci_high": 0.0615438138263012,
    "n": 105,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.2828620917098212,
    "ci_low": 0.25674013146307895,
    "ci_high": 0.30852136624613896,
    "n": 105,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.42235645713337105,
    "ci_low": 0.33728151462127925,
    "ci_high": 0.4999348803415598,
    "n": 105,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.31907463506902306,
    "ci_low": 0.3044796562714365,
    "ci_high": 0.3337820401571311,
    "n": 105,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__unseeded_ballot_fixed",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_oracle",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.1664140067203309,
    "ci_low": 0.11803433904019618,
    "ci_high": 0.2222152911747718,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.0484048449564163,
    "ci_low": 0.036470418564819744,
    "ci_high": 0.06121168847107559,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.2854855910779398,
    "ci_low": 0.2539192106154174,
    "ci_high": 0.31472038415729103,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.405530944848298,
    "ci_low": 0.31436232323476637,
    "ci_high": 0.49537325830850903,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.31912538492110715,
    "ci_low": 0.3023565845013252,
    "ci_high": 0.3358187036364567,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "n_episodes": 120,
   "n_deals": 28,
   "logical_table": "all_rational",
   "seeded_offer": "ceiling",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 28,
    "n_instances": 11
   },
   "worst_off": {
    "estimate": 0.14311650710609541,
    "ci_low": 0.10047755994076628,
    "ci_high": 0.19327811110624823,
    "n": 28,
    "n_instances": 11
   },
   "worst_off_share": {
    "estimate": 0.05399566379369356,
    "ci_low": 0.0388086139610359,
    "ci_high": 0.0712727653623801,
    "n": 28,
    "n_instances": 11
   },
   "normalized_gini": {
    "estimate": 0.26238627384981944,
    "ci_low": 0.23166144292603516,
    "ci_high": 0.2909479704809021,
    "n": 28,
    "n_instances": 11
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.4213101997417124,
    "ci_low": 0.369698035254155,
    "ci_high": 0.48090358499407715,
    "n": 28,
    "n_instances": 11
   },
   "max_share": {
    "estimate": 0.31894228875560354,
    "ci_low": 0.29861883373415077,
    "ci_high": 0.33692986953190096,
    "n": 28,
    "n_instances": 11
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_rational",
   "seeded_offer": "ceiling",
   "protocol_variant": "vote",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.23169279934651463,
    "ci_low": 0.16416931236658275,
    "ci_high": 0.3016251542588082,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.06340530806592576,
    "ci_low": 0.04621342066542662,
    "ci_high": 0.08016618817726619,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.23120207602399725,
    "ci_low": 0.20280895838626992,
    "ci_high": 0.2590949029239802,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.507226430513583,
    "ci_low": 0.3883416987943586,
    "ci_high": 0.6124490673641668,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.28726963907752484,
    "ci_low": 0.27619591012535444,
    "ci_high": 0.2976835637218877,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "n_episodes": 120,
   "n_deals": 31,
   "logical_table": "all_rational",
   "seeded_offer": "placebo",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 31,
    "n_instances": 14
   },
   "worst_off": {
    "estimate": 0.1453362386956172,
    "ci_low": 0.10445493641906782,
    "ci_high": 0.19007505680646972,
    "n": 31,
    "n_instances": 14
   },
   "worst_off_share": {
    "estimate": 0.053163396987469594,
    "ci_low": 0.04022157591217908,
    "ci_high": 0.06720991780737177,
    "n": 31,
    "n_instances": 14
   },
   "normalized_gini": {
    "estimate": 0.2639042214961956,
    "ci_low": 0.2362912765769497,
    "ci_high": 0.29257667953851413,
    "n": 31,
    "n_instances": 14
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.40811615935282186,
    "ci_low": 0.33711325588388547,
    "ci_high": 0.4755488257891576,
    "n": 31,
    "n_instances": 14
   },
   "max_share": {
    "estimate": 0.3165401405198075,
    "ci_low": 0.29877775042425314,
    "ci_high": 0.3342259467621596,
    "n": 31,
    "n_instances": 14
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "n_episodes": 120,
   "n_deals": 120,
   "logical_table": "all_rational",
   "seeded_offer": "placebo",
   "protocol_variant": "vote",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.11903506625939292,
    "ci_low": 0.08580777875848901,
    "ci_high": 0.15377106371105434,
    "n": 120,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.045328681122431234,
    "ci_low": 0.03383035904415394,
    "ci_high": 0.05688932357966242,
    "n": 120,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.3303309402097879,
    "ci_low": 0.2989408521174521,
    "ci_high": 0.36633293216444196,
    "n": 120,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.28744261624920875,
    "ci_low": 0.21526298610220063,
    "ci_high": 0.3582367411777551,
    "n": 120,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.3718388644394814,
    "ci_low": 0.3496717345883449,
    "ci_high": 0.39931775432883027,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__unseeded",
   "n_episodes": 120,
   "n_deals": 28,
   "logical_table": "all_rational",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 28,
    "n_instances": 14
   },
   "worst_off": {
    "estimate": 0.14694344596801961,
    "ci_low": 0.10260857555178413,
    "ci_high": 0.1952192782788258,
    "n": 28,
    "n_instances": 14
   },
   "worst_off_share": {
    "estimate": 0.05224324367491081,
    "ci_low": 0.037389490827602484,
    "ci_high": 0.06768232827155635,
    "n": 28,
    "n_instances": 14
   },
   "normalized_gini": {
    "estimate": 0.2606935627315637,
    "ci_low": 0.2384911421456786,
    "ci_high": 0.2831572095080825,
    "n": 28,
    "n_instances": 14
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.40783781598662144,
    "ci_low": 0.31855828621325144,
    "ci_high": 0.4833755817961708,
    "n": 28,
    "n_instances": 14
   },
   "max_share": {
    "estimate": 0.31364014160553955,
    "ci_low": 0.29932582246853784,
    "ci_high": 0.3265146158008415,
    "n": 28,
    "n_instances": 14
   }
  },
  {
   "arm": "one_oracle__unseeded",
   "n_episodes": 120,
   "n_deals": 61,
   "logical_table": "one_oracle",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 61,
    "n_instances": 23
   },
   "worst_off": {
    "estimate": 0.18745561379263206,
    "ci_low": 0.13129850644453353,
    "ci_high": 0.24664831224853626,
    "n": 61,
    "n_instances": 23
   },
   "worst_off_share": {
    "estimate": 0.0539648259724275,
    "ci_low": 0.04029191910908609,
    "ci_high": 0.06770807430483738,
    "n": 61,
    "n_instances": 23
   },
   "normalized_gini": {
    "estimate": 0.2722136558547562,
    "ci_low": 0.2418976452031472,
    "ci_high": 0.3011994063754159,
    "n": 61,
    "n_instances": 23
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.47186334385611284,
    "ci_low": 0.38546706886256116,
    "ci_high": 0.5482482811682233,
    "n": 61,
    "n_instances": 23
   },
   "max_share": {
    "estimate": 0.31433290995151064,
    "ci_low": 0.2975854074205042,
    "ci_high": 0.3317200955931618,
    "n": 61,
    "n_instances": 23
   }
  },
  {
   "arm": "one_rational__unseeded",
   "n_episodes": 120,
   "n_deals": 92,
   "logical_table": "one_rational",
   "seeded_offer": "none",
   "protocol_variant": "continue",
   "below_threshold_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 92,
    "n_instances": 24
   },
   "worst_off": {
    "estimate": 0.23923924245411646,
    "ci_low": 0.19595087827852217,
    "ci_high": 0.2832164267216742,
    "n": 92,
    "n_instances": 24
   },
   "worst_off_share": {
    "estimate": 0.0725120810975585,
    "ci_low": 0.06106425657164654,
    "ci_high": 0.08372035817248615,
    "n": 92,
    "n_instances": 24
   },
   "normalized_gini": {
    "estimate": 0.23136952807084968,
    "ci_low": 0.2083064400704245,
    "ci_high": 0.2546096204492791,
    "n": 92,
    "n_instances": 24
   },
   "normalized_nash_welfare_conditional": {
    "estimate": 0.5063123982328782,
    "ci_low": 0.43887862692171986,
    "ci_high": 0.5659807884721207,
    "n": 92,
    "n_instances": 24
   },
   "max_share": {
    "estimate": 0.30102142748483496,
    "ci_low": 0.2887677643629045,
    "ci_high": 0.31368888444948295,
    "n": 92,
    "n_instances": 24
   }
  }
 ],
 "contrasts": [
  {
   "treatment": "all_llm__ceiling_vote",
   "reference": "all_llm__placebo_vote",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.32211,
    "ci_low": 0.2865297083333333,
    "ci_high": 0.35988499999999995,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__ceiling_continue",
   "reference": "all_oracle__placebo_continue",
   "immediate_accept": {
    "estimate": 0.25,
    "ci_low": 0.14166666666666666,
    "ci_high": 0.35833333333333334,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.08333333333333333,
    "ci_low": -0.016666666666666666,
    "ci_high": 0.2,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.25,
    "ci_low": 0.14166666666666666,
    "ci_high": 0.35833333333333334,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.08810500000000002,
    "ci_low": -0.008360833333333335,
    "ci_high": 0.20265304166666667,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.26999999999999996,
    "ci_low": 0.18833333333333335,
    "ci_high": 0.35666666666666663,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__ceiling_continue_ballot_fixed",
   "reference": "all_oracle__placebo_continue_ballot_fixed",
   "immediate_accept": {
    "estimate": 0.25,
    "ci_low": 0.14166666666666666,
    "ci_high": 0.35833333333333334,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.2833333333333333,
    "ci_low": 0.18333333333333332,
    "ci_high": 0.38333333333333336,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.0471875,
    "ci_low": 0.015972187500000002,
    "ci_high": 0.08795458333333331,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.28,
    "ci_low": 0.18995833333333334,
    "ci_high": 0.3716666666666667,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__ceiling_vote",
   "reference": "all_oracle__placebo_vote",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.32211,
    "ci_low": 0.2865297083333333,
    "ci_high": 0.35988499999999995,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_rational__ceiling_continue",
   "reference": "all_rational__placebo_continue",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": -0.025,
    "ci_low": -0.075,
    "ci_high": 0.025,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.016666666666666666,
    "ci_low": -0.025,
    "ci_high": 0.075,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": -0.023560833333333333,
    "ci_low": -0.06321739583333333,
    "ci_high": 0.013631249999999996,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.11,
    "ci_low": 0.06666666666666667,
    "ci_high": 0.1566666666666667,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_rational__ceiling_vote",
   "reference": "all_rational__placebo_vote",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.32211,
    "ci_low": 0.2865297083333333,
    "ci_high": 0.35988499999999995,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__ceiling_continue",
   "reference": "all_oracle__unseeded",
   "immediate_accept": {
    "estimate": 0.325,
    "ci_low": 0.21666666666666667,
    "ci_high": 0.43333333333333335,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": -0.09166666666666666,
    "ci_low": -0.15833333333333333,
    "ci_high": -0.03333333333333333,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.325,
    "ci_low": 0.21666666666666667,
    "ci_high": 0.43333333333333335,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": -0.0747675,
    "ci_low": -0.13619497916666667,
    "ci_high": -0.018927166666666686,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.45,
    "ci_low": 0.3466666666666666,
    "ci_high": 0.5566666666666666,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__ceiling_continue_ballot_fixed",
   "reference": "all_oracle__unseeded_ballot_fixed",
   "immediate_accept": {
    "estimate": 0.325,
    "ci_low": 0.21666666666666667,
    "ci_high": 0.43333333333333335,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.45,
    "ci_low": 0.325,
    "ci_high": 0.575,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.0170025,
    "ci_low": 0.005321541666666665,
    "ci_high": 0.0315166875,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.5033333333333334,
    "ci_low": 0.3882916666666667,
    "ci_high": 0.6216666666666666,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__placebo_continue",
   "reference": "all_oracle__unseeded",
   "immediate_accept": {
    "estimate": 0.075,
    "ci_low": 0.03333333333333333,
    "ci_high": 0.11666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": -0.175,
    "ci_low": -0.275,
    "ci_high": -0.08333333333333333,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.075,
    "ci_low": 0.03333333333333333,
    "ci_high": 0.11666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": -0.1628725,
    "ci_low": -0.25814937499999996,
    "ci_high": -0.07693552083333334,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.18000000000000002,
    "ci_low": 0.11,
    "ci_high": 0.25833333333333336,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_oracle__placebo_continue_ballot_fixed",
   "reference": "all_oracle__unseeded_ballot_fixed",
   "immediate_accept": {
    "estimate": 0.075,
    "ci_low": 0.03333333333333333,
    "ci_high": 0.11666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.16666666666666666,
    "ci_low": 0.075,
    "ci_high": 0.275,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": -0.030185,
    "ci_low": -0.06863708333333333,
    "ci_high": -0.002857270833333335,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.22333333333333333,
    "ci_low": 0.12666666666666665,
    "ci_high": 0.3333333333333333,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_rational__ceiling_continue",
   "reference": "all_rational__unseeded",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.0,
    "ci_low": -0.05,
    "ci_high": 0.05,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.025,
    "ci_low": 0.0,
    "ci_high": 0.075,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": -0.011464166666666668,
    "ci_low": -0.05824085416666666,
    "ci_high": 0.03221220833333328,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.15666666666666668,
    "ci_low": 0.11833333333333333,
    "ci_high": 0.2,
    "n": 120,
    "n_instances": 24
   }
  },
  {
   "treatment": "all_rational__placebo_continue",
   "reference": "all_rational__unseeded",
   "immediate_accept": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 120,
    "n_instances": 24
   },
   "deal_rate": {
    "estimate": 0.025,
    "ci_low": 0.0,
    "ci_high": 0.06666666666666667,
    "n": 120,
    "n_instances": 24
   },
   "final_is_seeded": {
    "estimate": 0.008333333333333333,
    "ci_low": 0.0,
    "ci_high": 0.025,
    "n": 120,
    "n_instances": 24
   },
   "normalized_primary": {
    "estimate": 0.012096666666666667,
    "ci_low": -0.008614166666666668,
    "ci_high": 0.039860854166666605,
    "n": 120,
    "n_instances": 24
   },
   "seed_accept_fraction": {
    "estimate": 0.04666666666666666,
    "ci_low": 0.03166666666666667,
    "ci_high": 0.06166666666666667,
    "n": 120,
    "n_instances": 24
   }
  }
 ],
 "vote_curve": [
  {
   "arm": "all_llm__ceiling_vote",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 65,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 65,
    "n_instances": 11
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 65,
    "n_instances": 11
   }
  },
  {
   "arm": "all_llm__ceiling_vote",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 40,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 40,
    "n_instances": 8
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 40,
    "n_instances": 8
   }
  },
  {
   "arm": "all_llm__ceiling_vote",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 75,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 75,
    "n_instances": 12
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 75,
    "n_instances": 12
   }
  },
  {
   "arm": "all_llm__ceiling_vote",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 15
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 15
   }
  },
  {
   "arm": "all_llm__ceiling_vote",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 170,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 170,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 170,
    "n_instances": 19
   }
  },
  {
   "arm": "all_llm__ceiling_vote",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 150,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 150,
    "n_instances": 17
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 150,
    "n_instances": 17
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 126,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 126,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 126,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 74,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 74,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 74,
    "n_instances": 19
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 125,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 125,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 125,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 22
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 22
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 133,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 133,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 133,
    "n_instances": 24
   }
  },
  {
   "arm": "all_llm__placebo_vote",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 42,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 42,
    "n_instances": 16
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 42,
    "n_instances": 16
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 65,
   "first_move_accepts_seed": {
    "estimate": 0.6461538461538462,
    "ci_low": 0.509090909090909,
    "ci_high": 0.7625,
    "n": 65,
    "n_instances": 11
   },
   "ever_accepts_seed": {
    "estimate": 0.6615384615384615,
    "ci_low": 0.509090909090909,
    "ci_high": 0.8,
    "n": 65,
    "n_instances": 11
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 40,
   "first_move_accepts_seed": {
    "estimate": 0.2,
    "ci_low": 0.075,
    "ci_high": 0.35,
    "n": 40,
    "n_instances": 8
   },
   "ever_accepts_seed": {
    "estimate": 0.225,
    "ci_low": 0.1,
    "ci_high": 0.375,
    "n": 40,
    "n_instances": 8
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 75,
   "first_move_accepts_seed": {
    "estimate": 0.38666666666666666,
    "ci_low": 0.21333333333333335,
    "ci_high": 0.5529411764705883,
    "n": 75,
    "n_instances": 12
   },
   "ever_accepts_seed": {
    "estimate": 0.4,
    "ci_low": 0.21333333333333335,
    "ci_high": 0.5875,
    "n": 75,
    "n_instances": 12
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 0.34,
    "ci_low": 0.21052631578947367,
    "ci_high": 0.4740972222222219,
    "n": 100,
    "n_instances": 15
   },
   "ever_accepts_seed": {
    "estimate": 0.34,
    "ci_low": 0.21052631578947367,
    "ci_high": 0.4740972222222219,
    "n": 100,
    "n_instances": 15
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 170,
   "first_move_accepts_seed": {
    "estimate": 0.37058823529411766,
    "ci_low": 0.26666666666666666,
    "ci_high": 0.46978001257071006,
    "n": 170,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 0.45294117647058824,
    "ci_low": 0.34375,
    "ci_high": 0.5579128856624317,
    "n": 170,
    "n_instances": 19
   }
  },
  {
   "arm": "all_oracle__ceiling_continue",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 150,
   "first_move_accepts_seed": {
    "estimate": 0.44666666666666666,
    "ci_low": 0.31333333333333335,
    "ci_high": 0.5655172413793104,
    "n": 150,
    "n_instances": 17
   },
   "ever_accepts_seed": {
    "estimate": 0.5133333333333333,
    "ci_low": 0.36428571428571427,
    "ci_high": 0.6518518518518519,
    "n": 150,
    "n_instances": 17
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 65,
   "first_move_accepts_seed": {
    "estimate": 0.6461538461538462,
    "ci_low": 0.509090909090909,
    "ci_high": 0.7625,
    "n": 65,
    "n_instances": 11
   },
   "ever_accepts_seed": {
    "estimate": 0.7384615384615385,
    "ci_low": 0.6,
    "ci_high": 0.8625,
    "n": 65,
    "n_instances": 11
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 40,
   "first_move_accepts_seed": {
    "estimate": 0.2,
    "ci_low": 0.075,
    "ci_high": 0.35,
    "n": 40,
    "n_instances": 8
   },
   "ever_accepts_seed": {
    "estimate": 0.35,
    "ci_low": 0.15,
    "ci_high": 0.575,
    "n": 40,
    "n_instances": 8
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 75,
   "first_move_accepts_seed": {
    "estimate": 0.38666666666666666,
    "ci_low": 0.21333333333333335,
    "ci_high": 0.5529411764705883,
    "n": 75,
    "n_instances": 12
   },
   "ever_accepts_seed": {
    "estimate": 0.44,
    "ci_low": 0.25333333333333335,
    "ci_high": 0.6352941176470588,
    "n": 75,
    "n_instances": 12
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 0.34,
    "ci_low": 0.21052631578947367,
    "ci_high": 0.4740972222222219,
    "n": 100,
    "n_instances": 15
   },
   "ever_accepts_seed": {
    "estimate": 0.43,
    "ci_low": 0.28421052631578947,
    "ci_high": 0.5789473684210527,
    "n": 100,
    "n_instances": 15
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 170,
   "first_move_accepts_seed": {
    "estimate": 0.37058823529411766,
    "ci_low": 0.26666666666666666,
    "ci_high": 0.46978001257071006,
    "n": 170,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 0.5058823529411764,
    "ci_low": 0.3759939393939394,
    "ci_high": 0.6285714285714286,
    "n": 170,
    "n_instances": 19
   }
  },
  {
   "arm": "all_oracle__ceiling_continue_ballot_fixed",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 150,
   "first_move_accepts_seed": {
    "estimate": 0.44666666666666666,
    "ci_low": 0.31333333333333335,
    "ci_high": 0.5655172413793104,
    "n": 150,
    "n_instances": 17
   },
   "ever_accepts_seed": {
    "estimate": 0.52,
    "ci_low": 0.37037037037037035,
    "ci_high": 0.65625,
    "n": 150,
    "n_instances": 17
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 65,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 65,
    "n_instances": 11
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 65,
    "n_instances": 11
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 40,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 40,
    "n_instances": 8
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 40,
    "n_instances": 8
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 75,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 75,
    "n_instances": 12
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 75,
    "n_instances": 12
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 15
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 15
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 170,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 170,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 170,
    "n_instances": 19
   }
  },
  {
   "arm": "all_oracle__ceiling_vote",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 150,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 150,
    "n_instances": 17
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 150,
    "n_instances": 17
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 126,
   "first_move_accepts_seed": {
    "estimate": 0.24603174603174602,
    "ci_low": 0.1504424778761062,
    "ci_high": 0.3283582089552239,
    "n": 126,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.2698412698412698,
    "ci_low": 0.1509433962264151,
    "ci_high": 0.39310919540229877,
    "n": 126,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 74,
   "first_move_accepts_seed": {
    "estimate": 0.17567567567567569,
    "ci_low": 0.08333333333333333,
    "ci_high": 0.2686710677382317,
    "n": 74,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 0.17567567567567569,
    "ci_low": 0.08333333333333333,
    "ci_high": 0.2686710677382317,
    "n": 74,
    "n_instances": 19
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 125,
   "first_move_accepts_seed": {
    "estimate": 0.08,
    "ci_low": 0.030861823361823363,
    "ci_high": 0.1452991452991453,
    "n": 125,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.112,
    "ci_low": 0.039735099337748346,
    "ci_high": 0.21428571428571427,
    "n": 125,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 0.09,
    "ci_low": 0.03,
    "ci_high": 0.16092880978865393,
    "n": 100,
    "n_instances": 22
   },
   "ever_accepts_seed": {
    "estimate": 0.09,
    "ci_low": 0.03,
    "ci_high": 0.16092880978865393,
    "n": 100,
    "n_instances": 22
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 133,
   "first_move_accepts_seed": {
    "estimate": 0.13533834586466165,
    "ci_low": 0.05303030303030303,
    "ci_high": 0.23577235772357724,
    "n": 133,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.19548872180451127,
    "ci_low": 0.10135135135135136,
    "ci_high": 0.30509121490490354,
    "n": 133,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 42,
   "first_move_accepts_seed": {
    "estimate": 0.19047619047619047,
    "ci_low": 0.07894736842105263,
    "ci_high": 0.29411764705882354,
    "n": 42,
    "n_instances": 16
   },
   "ever_accepts_seed": {
    "estimate": 0.2857142857142857,
    "ci_low": 0.14634146341463414,
    "ci_high": 0.40816326530612246,
    "n": 42,
    "n_instances": 16
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 126,
   "first_move_accepts_seed": {
    "estimate": 0.24603174603174602,
    "ci_low": 0.1504424778761062,
    "ci_high": 0.3283582089552239,
    "n": 126,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.36507936507936506,
    "ci_low": 0.19,
    "ci_high": 0.5232696566998891,
    "n": 126,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 74,
   "first_move_accepts_seed": {
    "estimate": 0.17567567567567569,
    "ci_low": 0.08333333333333333,
    "ci_high": 0.2686710677382317,
    "n": 74,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 0.1891891891891892,
    "ci_low": 0.08641443167305236,
    "ci_high": 0.29411764705882354,
    "n": 74,
    "n_instances": 19
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 125,
   "first_move_accepts_seed": {
    "estimate": 0.08,
    "ci_low": 0.030861823361823363,
    "ci_high": 0.1452991452991453,
    "n": 125,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.144,
    "ci_low": 0.04347155126140634,
    "ci_high": 0.29565731926935934,
    "n": 125,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 0.09,
    "ci_low": 0.03,
    "ci_high": 0.16092880978865393,
    "n": 100,
    "n_instances": 22
   },
   "ever_accepts_seed": {
    "estimate": 0.15,
    "ci_low": 0.058823529411764705,
    "ci_high": 0.25,
    "n": 100,
    "n_instances": 22
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 133,
   "first_move_accepts_seed": {
    "estimate": 0.13533834586466165,
    "ci_low": 0.05303030303030303,
    "ci_high": 0.23577235772357724,
    "n": 133,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.21804511278195488,
    "ci_low": 0.10923987776928953,
    "ci_high": 0.34108988556662967,
    "n": 133,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_continue_ballot_fixed",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 42,
   "first_move_accepts_seed": {
    "estimate": 0.19047619047619047,
    "ci_low": 0.07894736842105263,
    "ci_high": 0.29411764705882354,
    "n": 42,
    "n_instances": 16
   },
   "ever_accepts_seed": {
    "estimate": 0.2857142857142857,
    "ci_low": 0.14634146341463414,
    "ci_high": 0.40816326530612246,
    "n": 42,
    "n_instances": 16
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 126,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 126,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 126,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 74,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 74,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 74,
    "n_instances": 19
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 125,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 125,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 125,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 22
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 22
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 133,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 133,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 133,
    "n_instances": 24
   }
  },
  {
   "arm": "all_oracle__placebo_vote",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 42,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 42,
    "n_instances": 16
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 42,
    "n_instances": 16
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 65,
   "first_move_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 65,
    "n_instances": 11
   },
   "ever_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 65,
    "n_instances": 11
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 40,
   "first_move_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 40,
    "n_instances": 8
   },
   "ever_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 40,
    "n_instances": 8
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 75,
   "first_move_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 75,
    "n_instances": 12
   },
   "ever_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 75,
    "n_instances": 12
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 0.08,
    "ci_low": 0.0,
    "ci_high": 0.18823529411764706,
    "n": 100,
    "n_instances": 15
   },
   "ever_accepts_seed": {
    "estimate": 0.08,
    "ci_low": 0.0,
    "ci_high": 0.18823529411764706,
    "n": 100,
    "n_instances": 15
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 170,
   "first_move_accepts_seed": {
    "estimate": 0.2235294117647059,
    "ci_low": 0.15555555555555556,
    "ci_high": 0.2923076923076923,
    "n": 170,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 0.2235294117647059,
    "ci_low": 0.15555555555555556,
    "ci_high": 0.2923076923076923,
    "n": 170,
    "n_instances": 19
   }
  },
  {
   "arm": "all_rational__ceiling_continue",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 150,
   "first_move_accepts_seed": {
    "estimate": 0.32,
    "ci_low": 0.26,
    "ci_high": 0.38125,
    "n": 150,
    "n_instances": 17
   },
   "ever_accepts_seed": {
    "estimate": 0.32,
    "ci_low": 0.26,
    "ci_high": 0.38125,
    "n": 150,
    "n_instances": 17
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 65,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 65,
    "n_instances": 11
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 65,
    "n_instances": 11
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 40,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 40,
    "n_instances": 8
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 40,
    "n_instances": 8
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 75,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 75,
    "n_instances": 12
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 75,
    "n_instances": 12
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 15
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 15
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 170,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 170,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 170,
    "n_instances": 19
   }
  },
  {
   "arm": "all_rational__ceiling_vote",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 150,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 150,
    "n_instances": 17
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 150,
    "n_instances": 17
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 126,
   "first_move_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 126,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 126,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 74,
   "first_move_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 74,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 74,
    "n_instances": 19
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 125,
   "first_move_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 125,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.0,
    "ci_low": 0.0,
    "ci_high": 0.0,
    "n": 125,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 0.01,
    "ci_low": 0.0,
    "ci_high": 0.03125,
    "n": 100,
    "n_instances": 22
   },
   "ever_accepts_seed": {
    "estimate": 0.01,
    "ci_low": 0.0,
    "ci_high": 0.03125,
    "n": 100,
    "n_instances": 22
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 133,
   "first_move_accepts_seed": {
    "estimate": 0.12781954887218044,
    "ci_low": 0.08333333333333333,
    "ci_high": 0.17886178861788618,
    "n": 133,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 0.12781954887218044,
    "ci_low": 0.08333333333333333,
    "ci_high": 0.17886178861788618,
    "n": 133,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_continue",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 42,
   "first_move_accepts_seed": {
    "estimate": 0.23809523809523808,
    "ci_low": 0.11904761904761904,
    "ci_high": 0.3793103448275862,
    "n": 42,
    "n_instances": 16
   },
   "ever_accepts_seed": {
    "estimate": 0.23809523809523808,
    "ci_low": 0.11904761904761904,
    "ci_high": 0.3793103448275862,
    "n": 42,
    "n_instances": 16
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "z_low": 0.0,
   "z_high": 0.1,
   "n_seat_turns": 126,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 126,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 126,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "z_low": 0.1,
   "z_high": 0.2,
   "n_seat_turns": 74,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 74,
    "n_instances": 19
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 74,
    "n_instances": 19
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "z_low": 0.2,
   "z_high": 0.35,
   "n_seat_turns": 125,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 125,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 125,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "z_low": 0.35,
   "z_high": 0.5,
   "n_seat_turns": 100,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 22
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 100,
    "n_instances": 22
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "z_low": 0.5,
   "z_high": 0.75,
   "n_seat_turns": 133,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 133,
    "n_instances": 24
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 133,
    "n_instances": 24
   }
  },
  {
   "arm": "all_rational__placebo_vote",
   "z_low": 0.75,
   "z_high": 1.01,
   "n_seat_turns": 42,
   "first_move_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 42,
    "n_instances": 16
   },
   "ever_accepts_seed": {
    "estimate": 1.0,
    "ci_low": 1.0,
    "ci_high": 1.0,
    "n": 42,
    "n_instances": 16
   }
  }
 ],
 "figures": [
  ".claude/products/seeded-optimal-opening/analysis_with_ballot_fix/seeded_offer.png",
  ".claude/products/seeded-optimal-opening/analysis_with_ballot_fix/seeded_offer.pdf"
 ]
}
