{
  "researchDate": "2026-09-05",
  "currency": "synthetic USD",
  "players": [
    "A",
    "B",
    "C"
  ],
  "method": "Exact Malmuth-Harville finish-order enumeration; rational arithmetic",
  "rounding": "Exact fractions retained. Display values round independently to cents; these are not settlement instructions.",
  "cases": [
    {
      "stacks": [
        60000,
        25000,
        15000
      ],
      "payouts": [
        1200,
        750,
        450
      ],
      "reserve": [
        0,
        0,
        0
      ],
      "adjustedPayouts": [
        1200,
        750,
        450
      ],
      "orders": [
        {
          "order": [
            0,
            1,
            2
          ],
          "probability": "3/8"
        },
        {
          "order": [
            0,
            2,
            1
          ],
          "probability": "9/40"
        },
        {
          "order": [
            1,
            0,
            2
          ],
          "probability": "1/5"
        },
        {
          "order": [
            1,
            2,
            0
          ],
          "probability": "1/20"
        },
        {
          "order": [
            2,
            0,
            1
          ],
          "probability": "9/85"
        },
        {
          "order": [
            2,
            1,
            0
          ],
          "probability": "3/68"
        }
      ],
      "finishProbabilities": [
        [
          "3/5",
          "26/85",
          "8/85"
        ],
        [
          "1/4",
          "57/136",
          "45/136"
        ],
        [
          "3/20",
          "11/40",
          "23/40"
        ]
      ],
      "baseline": [
        "16860/17",
        "12975/17",
        "645"
      ],
      "guaranteed": [
        "16860/17",
        "12975/17",
        "645"
      ],
      "expectedContingent": [
        "0",
        "0",
        "0"
      ],
      "proportionalHaircut": [
        "16860/17",
        "12975/17",
        "645"
      ]
    },
    {
      "stacks": [
        60000,
        25000,
        15000
      ],
      "payouts": [
        1200,
        750,
        450
      ],
      "reserve": [
        300,
        0,
        0
      ],
      "adjustedPayouts": [
        900,
        750,
        450
      ],
      "orders": [
        {
          "order": [
            0,
            1,
            2
          ],
          "probability": "3/8"
        },
        {
          "order": [
            0,
            2,
            1
          ],
          "probability": "9/40"
        },
        {
          "order": [
            1,
            0,
            2
          ],
          "probability": "1/5"
        },
        {
          "order": [
            1,
            2,
            0
          ],
          "probability": "1/20"
        },
        {
          "order": [
            2,
            0,
            1
          ],
          "probability": "9/85"
        },
        {
          "order": [
            2,
            1,
            0
          ],
          "probability": "3/68"
        }
      ],
      "finishProbabilities": [
        [
          "3/5",
          "26/85",
          "8/85"
        ],
        [
          "1/4",
          "57/136",
          "45/136"
        ],
        [
          "3/20",
          "11/40",
          "23/40"
        ]
      ],
      "baseline": [
        "16860/17",
        "12975/17",
        "645"
      ],
      "guaranteed": [
        "13800/17",
        "11700/17",
        "600"
      ],
      "expectedContingent": [
        "180",
        "75",
        "45"
      ],
      "proportionalHaircut": [
        "29505/34",
        "90825/136",
        "4515/8"
      ]
    },
    {
      "stacks": [
        60000,
        25000,
        15000
      ],
      "payouts": [
        1200,
        750,
        450
      ],
      "reserve": [
        300,
        100,
        0
      ],
      "adjustedPayouts": [
        900,
        650,
        450
      ],
      "orders": [
        {
          "order": [
            0,
            1,
            2
          ],
          "probability": "3/8"
        },
        {
          "order": [
            0,
            2,
            1
          ],
          "probability": "9/40"
        },
        {
          "order": [
            1,
            0,
            2
          ],
          "probability": "1/5"
        },
        {
          "order": [
            1,
            2,
            0
          ],
          "probability": "1/20"
        },
        {
          "order": [
            2,
            0,
            1
          ],
          "probability": "9/85"
        },
        {
          "order": [
            2,
            1,
            0
          ],
          "probability": "3/68"
        }
      ],
      "finishProbabilities": [
        [
          "3/5",
          "26/85",
          "8/85"
        ],
        [
          "1/4",
          "57/136",
          "45/136"
        ],
        [
          "3/20",
          "11/40",
          "23/40"
        ]
      ],
      "baseline": [
        "16860/17",
        "12975/17",
        "645"
      ],
      "guaranteed": [
        "13280/17",
        "21975/34",
        "1145/2"
      ],
      "expectedContingent": [
        "3580/17",
        "3975/34",
        "145/2"
      ],
      "proportionalHaircut": [
        "14050/17",
        "21625/34",
        "1075/2"
      ]
    }
  ]
}