{
  "boundary": "160 registered rational posterior games; weak pure Nash and declared strict-member coalition tests",
  "claim_ids": [
    "DD-C-0075",
    "DD-C-0076",
    "DD-C-0077",
    "DD-C-0078"
  ],
  "rows": [
    {
      "agents": 2,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 0,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 3,
      "tau_stable_count": 2,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "2",
      "pure_nash_count": 4,
      "tau_stable_count": 2,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 2,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-two",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-two",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 5,
      "tau_stable_count": 2,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "3/2",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "2/3"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "3",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "3",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-two",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "3",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "3",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 2,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/3",
      "fixture": "ranked-two",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 5,
      "tau_stable_count": 1,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "2/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/3",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "2/3"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 0,
      "planner_discovery": "1/3",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 3,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "2/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 6,
      "tau_stable_count": 3,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 9,
      "tau_stable_count": 3,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 0,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 9,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "1",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 6,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 6,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 15,
      "tau_stable_count": 3,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "3",
      "pure_nash_count": 7,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 6,
      "planner_discovery": "2/3",
      "price_of_anarchy": "2",
      "pure_nash_count": 6,
      "tau_stable_count": 3,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/3"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 13,
      "tau_stable_count": 0,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/3",
      "fixture": "uniform-three",
      "pairwise_stable_count": 13,
      "planner_discovery": "1/3",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 22,
      "tau_stable_count": 3,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "5/6",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "5/6",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "5/6"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1/2",
      "price_of_anarchy": "3",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "5/6",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "6/5",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "5/6"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1/2",
      "price_of_anarchy": "3",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "6/5",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "5/6"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "5/6",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "5/6",
      "price_of_anarchy": "5",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "3",
      "pure_nash_count": 3,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 9,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "6/5",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "5/6"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "5/6",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "5/6",
      "price_of_anarchy": "5",
      "pure_nash_count": 5,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "3",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 6,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 6,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 15,
      "tau_stable_count": 1,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "5/6",
      "fixture": "ranked-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "6",
      "pure_nash_count": 5,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "5/6",
      "price_of_anarchy": "5",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/6"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 13,
      "tau_stable_count": 1,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-three",
      "pairwise_stable_count": 13,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 22,
      "tau_stable_count": 1,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "4/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "4/5",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "4/5"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 2,
      "planner_discovery": "2/5",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 2,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "5/4",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "4/5"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 0,
      "planner_discovery": "2/5",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 2,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "1",
      "price_of_anarchy": "5/4",
      "pure_nash_count": 3,
      "tau_stable_count": 3,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "4/5"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "4/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "4/5",
      "price_of_anarchy": "4",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/5",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 9,
      "tau_stable_count": 2,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "4/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 2,
      "planner_discovery": "4/5",
      "price_of_anarchy": "4",
      "pure_nash_count": 7,
      "tau_stable_count": 2,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/5",
      "price_of_anarchy": "2",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 6,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 6,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 15,
      "tau_stable_count": 2,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "4/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "5",
      "pure_nash_count": 6,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "4/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 4,
      "planner_discovery": "4/5",
      "price_of_anarchy": "4",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/5"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 4,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 13,
      "tau_stable_count": 0,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "2/5",
      "fixture": "tied-top-three",
      "pairwise_stable_count": 13,
      "planner_discovery": "2/5",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 22,
      "tau_stable_count": 2,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "7/10",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "7/10",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "7/10"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 2,
      "planner_discovery": "7/20",
      "price_of_anarchy": "7/6",
      "pure_nash_count": 3,
      "tau_stable_count": 2,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 0,
      "planner_discovery": "7/20",
      "price_of_anarchy": "7/6",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 2,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "7/10",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "7/10",
      "price_of_anarchy": "7/3",
      "pure_nash_count": 6,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "7/20",
      "price_of_anarchy": "7/6",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 9,
      "tau_stable_count": 2,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "7/10",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 0,
      "planner_discovery": "7/10",
      "price_of_anarchy": "7/3",
      "pure_nash_count": 7,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "7/20",
      "price_of_anarchy": "7/6",
      "pure_nash_count": 3,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 6,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 6,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 15,
      "tau_stable_count": 2,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "10/3",
      "pure_nash_count": 7,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "7/10",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 6,
      "planner_discovery": "7/10",
      "price_of_anarchy": "7/3",
      "pure_nash_count": 6,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/10"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 3,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 4,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 4,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 13,
      "tau_stable_count": 0,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "7/20",
      "fixture": "tied-edge-three",
      "pairwise_stable_count": 13,
      "planner_discovery": "7/20",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 22,
      "tau_stable_count": 2,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-four",
      "pairwise_stable_count": 6,
      "planner_discovery": "1/2",
      "price_of_anarchy": "1",
      "pure_nash_count": 6,
      "tau_stable_count": 6,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/4",
      "price_of_anarchy": "1",
      "pure_nash_count": 4,
      "tau_stable_count": 4,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "3/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "3/4",
      "price_of_anarchy": "1",
      "pure_nash_count": 4,
      "tau_stable_count": 4,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "3/4"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 0,
      "planner_discovery": "1/4",
      "price_of_anarchy": "1",
      "pure_nash_count": 4,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 8,
      "tau_stable_count": 4,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-four",
      "pairwise_stable_count": 6,
      "planner_discovery": "1/2",
      "price_of_anarchy": "2",
      "pure_nash_count": 10,
      "tau_stable_count": 6,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 5,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 5,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 23,
      "tau_stable_count": 4,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 4,
      "tau_stable_count": 4,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-four",
      "pairwise_stable_count": 0,
      "planner_discovery": "1/2",
      "price_of_anarchy": "2",
      "pure_nash_count": 16,
      "tau_stable_count": 0,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/4",
      "price_of_anarchy": "1",
      "pure_nash_count": 4,
      "tau_stable_count": 0,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 20,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 20,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 44,
      "tau_stable_count": 4,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1",
      "fixture": "uniform-four",
      "pairwise_stable_count": 6,
      "planner_discovery": "1",
      "price_of_anarchy": "1",
      "pure_nash_count": 6,
      "tau_stable_count": 6,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "3/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "3/4",
      "price_of_anarchy": "3",
      "pure_nash_count": 14,
      "tau_stable_count": 4,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "uniform-four",
      "pairwise_stable_count": 10,
      "planner_discovery": "1/2",
      "price_of_anarchy": "2",
      "pure_nash_count": 10,
      "tau_stable_count": 6,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/4"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 14,
      "tau_stable_count": 0,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 14,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 48,
      "tau_stable_count": 0,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/4",
      "fixture": "uniform-four",
      "pairwise_stable_count": 48,
      "planner_discovery": "1/4",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 72,
      "tau_stable_count": 4,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "3/4",
      "fixture": "ranked-four",
      "pairwise_stable_count": 2,
      "planner_discovery": "3/4",
      "price_of_anarchy": "3/2",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/2"
    },
    {
      "agents": 2,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "1/2",
      "price_of_anarchy": "6",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "3/4",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "11/12",
      "price_of_anarchy": "11/9",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "3/4"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "1/2",
      "price_of_anarchy": "6",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 3,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 8,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "11/12",
      "fixture": "ranked-four",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "4/3",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "3/4"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "3/4",
      "price_of_anarchy": "9",
      "pure_nash_count": 5,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 5,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 4,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 5,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 23,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "11/12",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "1",
      "price_of_anarchy": "12/11",
      "pure_nash_count": 1,
      "tau_stable_count": 1,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "11/12"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "3/4",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "3/4",
      "price_of_anarchy": "9",
      "pure_nash_count": 7,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/2",
      "price_of_anarchy": "6",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 20,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 5,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 20,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 44,
      "tau_stable_count": 1,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "11/12",
      "fixture": "ranked-four",
      "pairwise_stable_count": 2,
      "planner_discovery": "1",
      "price_of_anarchy": "12/11",
      "pure_nash_count": 2,
      "tau_stable_count": 2,
      "threshold": 1,
      "tied_mode_is_equilibrium": false,
      "worst_equilibrium_discovery": "11/12"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "3/4",
      "fixture": "ranked-four",
      "pairwise_stable_count": 1,
      "planner_discovery": "11/12",
      "price_of_anarchy": "11",
      "pure_nash_count": 7,
      "tau_stable_count": 1,
      "threshold": 2,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "3/4",
      "price_of_anarchy": "9",
      "pure_nash_count": 4,
      "tau_stable_count": 1,
      "threshold": 3,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "1/12"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 4,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 14,
      "tau_stable_count": 1,
      "threshold": 4,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 14,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 48,
      "tau_stable_count": 1,
      "threshold": 5,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    },
    {
      "agents": 6,
      "best_equilibrium_discovery": "1/2",
      "fixture": "ranked-four",
      "pairwise_stable_count": 48,
      "planner_discovery": "1/2",
      "price_of_anarchy": "infinity",
      "pure_nash_count": 72,
      "tau_stable_count": 1,
      "threshold": 6,
      "tied_mode_is_equilibrium": true,
      "worst_equilibrium_discovery": "0"
    }
  ],
  "run_id": "20260722T024032Z_DD-017_033452f6_3d2c74fdfb",
  "schema_version": 1,
  "study_id": "DD-017"
}
