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LongBench v2 / 6719bc01bb02136c067d43fa / Which player wins the most golds in the game?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Which player wins the most golds in the game?
context · full text (87,773 characters)
{
  "meta": {
    "name_exp": "llama-3.1-70b_divide_dollar_v1_3",
    "player_num": 10,
    "golds": 100,
    "round_id": 20,
    "version": "v1"
  },
  "round_records": [
    {
      "responses": [
        5,
        9,
        5,
        10,
        8,
        5,
        10,
        10,
        5,
        10
      ],
      "total_proposal": 77
    },
    {
      "responses": [
        10,
        10,
        10,
        8,
        12,
        10,
        8,
        12,
        11,
        12
      ],
      "total_proposal": 103
    },
    {
      "responses": [
        8,
        9,
        7,
        8,
        8,
        8,
        8,
        8,
        4,
        7
      ],
      "total_proposal": 75
    },
    {
      "responses": [
        10,
        15,
        9,
        12,
        9,
        9,
        15,
        11,
        12,
        9
      ],
      "total_proposal": 111
    },
    {
      "responses": [
        7,
        6,
        5,
        7,
        6,
        6,
        9,
        7,
        8,
        8
      ],
      "total_proposal": 69
    },
    {
      "responses": [
        7,
        12,
        20,
        10,
        8,
        8,
        9,
        10,
        10,
        8
      ],
      "total_proposal": 102
    },
    {
      "responses": [
        7,
        7,
        6,
        5,
        6,
        8,
        7,
        8,
        7,
        6
      ],
      "total_proposal": 67
    },
    {
      "responses": [
        11,
        11,
        12,
        10,
        10,
        9,
        8,
        10,
        9,
        9
      ],
      "total_proposal": 99
    },
    {
      "responses": [
        12,
        9,
        10,
        12,
        11,
        13,
        10,
        12,
        12,
        11
      ],
      "total_proposal": 112
    },
    {
      "responses": [
        8,
        10,
        9,
        5,
        5,
        8,
        8,
        8,
        8,
        9
      ],
      "total_proposal": 78
    },
    {
      "responses": [
        10,
        8,
        9,
        10,
        11,
        10,
        11,
        8,
        9,
        9
      ],
      "total_proposal": 95
    },
    {
      "responses": [
        10,
        11,
        12,
        10,
        9,
        12,
        12,
        10,
        12,
        11
      ],
      "total_proposal": 109
    },
    {
      "responses": [
        8,
        6,
        8,
        8,
        9,
        6,
        7,
        5,
        10,
        8
      ],
      "total_proposal": 75
    },
    {
      "responses": [
        11,
        12,
        12,
        11,
        8,
        12,
        9,
        12,
        9,
        9
      ],
      "total_proposal": 105
    },
    {
      "responses": [
        7,
        5,
        7,
        9,
        7,
        6,
        7,
        7,
        8,
        7
      ],
      "total_proposal": 70
    },
    {
      "responses": [
        11,
        10,
        9,
        8,
        11,
        11,
        9,
        8,
        8,
        8
      ],
      "total_proposal": 93
    },
    {
      "responses": [
        11,
        10,
        9,
        9,
        9,
        12,
        10,
        9,
        12,
        10
      ],
      "total_proposal": 101
    },
    {
      "responses": [
        10,
        6,
        7,
        10,
        6,
        8,
        8,
        8,
        8,
        8
      ],
      "total_proposal": 79
    },
    {
      "responses": [
        8,
        8,
        9,
        9,
        11,
        9,
        9,
        9,
        10,
        8
      ],
      "total_proposal": 90
    },
    {
      "responses": [
        10,
        10,
        12,
        9,
        11,
        6,
        10,
        10,
        8,
        10
      ],
      "total_proposal": 96
    }
  ],
  "player_data": [
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_0",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 12 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"13\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 9 golds."
        }
      ],
      "records": [
        10,
        11,
        9,
        12,
        8,
        10,
        7,
        12,
        13,
        8,
        9,
        10,
        8,
        11,
        7,
        9,
        10,
        6,
        8,
        9
      ],
      "utility": [
        10,
        0,
        9,
        0,
        8,
        0,
        7,
        12,
        0,
        8,
        9,
        0,
        8,
        0,
        7,
        9,
        0,
        6,
        8,
        9
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_1",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 12 golds."
        }
      ],
      "records": [
        5,
        10,
        8,
        12,
        9,
        10,
        8,
        11,
        12,
        10,
        11,
        12,
        10,
        12,
        9,
        11,
        12,
        10,
        11,
        12
      ],
      "utility": [
        5,
        0,
        8,
        0,
        9,
        0,
        8,
        11,
        0,
        10,
        11,
        0,
        10,
        0,
        9,
        11,
        0,
        10,
        11,
        12
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_2",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"15\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 6 golds."
        }
      ],
      "records": [
        10,
        12,
        8,
        15,
        7,
        9,
        6,
        10,
        12,
        8,
        9,
        10,
        5,
        12,
        7,
        11,
        10,
        8,
        9,
        6
      ],
      "utility": [
        10,
        0,
        8,
        0,
        7,
        0,
        6,
        10,
        0,
        8,
        9,
        0,
        5,
        0,
        7,
        11,
        0,
        8,
        9,
        6
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_3",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 10 golds."
        }
      ],
      "records": [
        5,
        10,
        8,
        9,
        7,
        8,
        6,
        10,
        12,
        9,
        11,
        12,
        8,
        9,
        7,
        10,
        11,
        8,
        9,
        10
      ],
      "utility": [
        5,
        0,
        8,
        0,
        7,
        0,
        6,
        10,
        0,
        9,
        11,
        0,
        8,
        0,
        7,
        10,
        0,
        8,
        9,
        10
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_4",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 10 golds."
        }
      ],
      "records": [
        5,
        8,
        7,
        9,
        6,
        8,
        7,
        8,
        9,
        5,
        8,
        9,
        6,
        8,
        5,
        9,
        10,
        7,
        8,
        10
      ],
      "utility": [
        5,
        0,
        7,
        0,
        6,
        0,
        7,
        8,
        0,
        5,
        8,
        0,
        6,
        0,
        5,
        9,
        0,
        7,
        8,
        10
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_5",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"15\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"20\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 10 golds."
        }
      ],
      "records": [
        10,
        12,
        8,
        15,
        5,
        20,
        7,
        9,
        11,
        8,
        10,
        12,
        6,
        11,
        7,
        8,
        9,
        6,
        8,
        10
      ],
      "utility": [
        10,
        0,
        8,
        0,
        5,
        0,
        7,
        9,
        0,
        8,
        10,
        0,
        6,
        0,
        7,
        8,
        0,
        6,
        8,
        10
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_6",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"4\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 4 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 10 golds."
        }
      ],
      "records": [
        5,
        8,
        4,
        10,
        6,
        7,
        8,
        9,
        10,
        5,
        8,
        12,
        7,
        9,
        6,
        8,
        9,
        8,
        9,
        10
      ],
      "utility": [
        5,
        0,
        4,
        0,
        6,
        0,
        8,
        9,
        0,
        5,
        8,
        0,
        7,
        0,
        6,
        8,
        0,
        8,
        9,
        10
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_7",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 11 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 11 golds."
        }
      ],
      "records": [
        10,
        12,
        8,
        9,
        7,
        10,
        6,
        11,
        12,
        8,
        10,
        11,
        9,
        12,
        8,
        11,
        12,
        10,
        10,
        11
      ],
      "utility": [
        10,
        0,
        8,
        0,
        7,
        0,
        6,
        11,
        0,
        8,
        10,
        0,
        9,
        0,
        8,
        11,
        0,
        10,
        10,
        11
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_8",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"6\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 6 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"5\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 5 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 10 golds."
        }
      ],
      "records": [
        8,
        10,
        7,
        9,
        6,
        8,
        5,
        9,
        10,
        8,
        9,
        10,
        8,
        12,
        7,
        8,
        9,
        8,
        9,
        10
      ],
      "utility": [
        8,
        0,
        7,
        0,
        6,
        0,
        5,
        9,
        0,
        8,
        9,
        0,
        8,
        0,
        7,
        8,
        0,
        8,
        9,
        10
      ]
    },
    {
      "model": "meta-llama/Meta-Llama-3.1-70B-Instruct",
      "id": "player_9",
      "prompt": [
        {
          "role": "system",
          "content": "\n\nYou are participating in a game played by 10 players over 20 rounds.\n\nGame Rules:\n\n1. You are dividing 100 golds. Each player independently proposes a bid.\n2. If the sum of all bids does not exceed 100, each player receives their bid amount.\n3. If the sum exceeds 100, all players receive nothing."
        },
        {
          "role": "user",
          "content": "Game Results for Round 1:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 77.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 2:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 103.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 3:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 4:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 111.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 5:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 69.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 6:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"12\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 102.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 7:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 67.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 8:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 99.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 9:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 112.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 10:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 78.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 11:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"10\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 95.\nThe sum does not exceeds 100.\nYou received 10 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 12:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"11\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 109.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 13:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 75.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 14:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 105.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 15:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"7\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 70.\nThe sum does not exceeds 100.\nYou received 7 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 16:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 93.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 17:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 101.\nThe sum exceeds 100.\nYou received 0 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 18:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 79.\nThe sum does not exceeds 100.\nYou received 8 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 19:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"9\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 90.\nThe sum does not exceeds 100.\nYou received 9 golds."
        },
        {
          "role": "user",
          "content": "Game Results for Round 20:\n\nYour bid amount was:"
        },
        {
          "role": "assistant",
          "content": "{\"bid_amount\": \"8\"}"
        },
        {
          "role": "user",
          "content": "The sum of all bids was 96.\nThe sum does not exceeds 100.\nYou received 8 golds."
        }
      ],
      "records": [
        9,
        10,
        8,
        11,
        8,
        12,
        7,
        10,
        11,
        9,
        10,
        11,
        8,
        9,
        7,
        8,
        9,
        8,
        9,
        8
      ],
      "utility": [
        9,
        0,
        8,
        0,
        8,
        0,
        7,
        10,
        0,
        9,
        10,
        0,
        8,
        0,
        7,
        8,
        0,
        8,
        9,
        8
      ]
    }
  ]
}

choice A

player_0

choice B

player_3

choice C

player_4

choice D

player_6

difficulty

hard

domain

Long-dialogue History Understanding

length

short

sub domain

Agent history QA

Discussion

Discussion

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See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

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Source and history

Official source

initial import