{
  "schemaVersion": 2,
  "generatedAt": "2026-09-16T00:00:00.000Z",
  "model": {
    "potBeforeBet": 100,
    "valueMass": 0.5,
    "bluffCandidateMass": 0.5,
    "qBetFrequencyDefinition": "conditional probability that Q bets, not bluff share among bets",
    "constantSumPayoff": "defender payoff equals potBeforeBet minus bettor payoff; prior contributions are sunk",
    "assumptions": [
      "one street",
      "unbeatable value hand",
      "zero-showdown bluff candidate",
      "no rake",
      "no ties",
      "no future action"
    ],
    "roundingRule": "nearest grid point; exact half-grid ties round upward; bettor and defender frequencies rounded independently",
    "exploitabilityConvention": "NashConv divided by two for a two-player constant-sum game"
  },
  "headline": {
    "id": "three-quarters-pot",
    "labelEn": "3/4 pot",
    "labelJa": "3/4ポット",
    "betPotRatio": 0.75,
    "betChips": 75,
    "gridPoints": 25,
    "equilibriumQBetFrequency": 0.428571428571,
    "equilibriumCallFrequency": 0.571428571429,
    "roundedQBetFrequency": 0.5,
    "roundedCallFrequency": 0.5,
    "equilibriumPayoff": 71.428571428571,
    "roundedProfilePayoff": 71.875,
    "profileDelta": 0.446428571429,
    "bettorBestResponseGain": 3.125,
    "defenderBestResponseGain": 3.125,
    "nashConv": 6.25,
    "exploitability": 3.125,
    "exploitabilityPctPot": 3.125,
    "exact": false,
    "fractions": {
      "equilibriumQBetFrequency": "3/7",
      "equilibriumCallFrequency": "4/7",
      "roundedQBetFrequency": "1/2",
      "roundedCallFrequency": "1/2",
      "exploitability": "25/8"
    }
  },
  "halfPotAblation": [
    {
      "id": "equilibrium",
      "labelEn": "Exact equilibrium",
      "labelJa": "均衡のまま",
      "qBetFrequency": 0.333333333333,
      "callFrequency": 0.666666666667,
      "profilePayoff": 66.666666666667,
      "profileDelta": 0,
      "bettorBestResponseGain": 0,
      "defenderBestResponseGain": 0,
      "nashConv": 0,
      "exploitability": 0
    },
    {
      "id": "bluff-only",
      "labelEn": "Round Q bet only",
      "labelJa": "Qのベット頻度だけ丸める",
      "qBetFrequency": 0.25,
      "callFrequency": 0.666666666667,
      "profilePayoff": 66.666666666667,
      "profileDelta": 0,
      "bettorBestResponseGain": 0,
      "defenderBestResponseGain": 4.166666666667,
      "nashConv": 4.166666666667,
      "exploitability": 2.083333333333
    },
    {
      "id": "call-only",
      "labelEn": "Round K call only",
      "labelJa": "Kのコール頻度だけ丸める",
      "qBetFrequency": 0.333333333333,
      "callFrequency": 0.75,
      "profilePayoff": 66.666666666667,
      "profileDelta": 0,
      "bettorBestResponseGain": 2.083333333333,
      "defenderBestResponseGain": 0,
      "nashConv": 2.083333333333,
      "exploitability": 1.041666666667
    },
    {
      "id": "both",
      "labelEn": "Round both",
      "labelJa": "両方を丸める",
      "qBetFrequency": 0.25,
      "callFrequency": 0.75,
      "profilePayoff": 67.1875,
      "profileDelta": 0.520833333333,
      "bettorBestResponseGain": 1.5625,
      "defenderBestResponseGain": 4.6875,
      "nashConv": 6.25,
      "exploitability": 3.125
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  ],
  "featured": [
    {
      "id": "quarter-pot",
      "labelEn": "1/4 pot",
      "labelJa": "1/4ポット",
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      "gridPoints": 1,
      "equilibriumQBetFrequency": 0.2,
      "equilibriumCallFrequency": 0.8,
      "roundedQBetFrequency": 0.2,
      "roundedCallFrequency": 0.8,
      "equilibriumPayoff": 60,
      "roundedProfilePayoff": 60,
      "profileDelta": 0,
      "bettorBestResponseGain": 0,
      "defenderBestResponseGain": 0,
      "nashConv": 0,
      "exploitability": 0,
      "exploitabilityPctPot": 0,
      "exact": true,
      "fractions": {
        "equilibriumQBetFrequency": "1/5",
        "equilibriumCallFrequency": "4/5",
        "roundedQBetFrequency": "1/5",
        "roundedCallFrequency": "4/5",
        "exploitability": "0"
      }
    },
    {
      "id": "quarter-pot",
      "labelEn": "1/4 pot",
      "labelJa": "1/4ポット",
      "betPotRatio": 0.25,
      "betChips": 25,
      "gridPoints": 5,
      "equilibriumQBetFrequency": 0.2,
      "equilibriumCallFrequency": 0.8,
      "roundedQBetFrequency": 0.2,
      "roundedCallFrequency": 0.8,
      "equilibriumPayoff": 60,
      "roundedProfilePayoff": 60,
      "profileDelta": 0,
      "bettorBestResponseGain": 0,
      "defenderBestResponseGain": 0,
      "nashConv": 0,
      "exploitability": 0,
      "exploitabilityPctPot": 0,
      "exact": true,
      "fractions": {
        "equilibriumQBetFrequency": "1/5",
        "equilibriumCallFrequency": "4/5",
        "roundedQBetFrequency": "1/5",
        "roundedCallFrequency": "4/5",
        "exploitability": "0"
      }
    },
    {
      "id": "quarter-pot",
      "labelEn": "1/4 pot",
      "labelJa": "1/4ポット",
      "betPotRatio": 0.25,
      "betChips": 25,
      "gridPoints": 10,
      "equilibriumQBetFrequency": 0.2,
      "equilibriumCallFrequency": 0.8,
      "roundedQBetFrequency": 0.2,
      "roundedCallFrequency": 0.8,
      "equilibriumPayoff": 60,
      "roundedProfilePayoff": 60,
      "profileDelta": 0,
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      "nashConv": 0,
      "exploitability": 0,
      "exploitabilityPctPot": 0,
      "exact": true,
      "fractions": {
        "equilibriumQBetFrequency": "1/5",
        "equilibriumCallFrequency": "4/5",
        "roundedQBetFrequency": "1/5",
        "roundedCallFrequency": "4/5",
        "exploitability": "0"
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    },
    {
      "id": "quarter-pot",
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      "labelJa": "1/4ポット",
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      "equilibriumCallFrequency": 0.8,
      "roundedQBetFrequency": 0.25,
      "roundedCallFrequency": 0.75,
      "equilibriumPayoff": 60,
      "roundedProfilePayoff": 60.15625,
      "profileDelta": 0.15625,
      "bettorBestResponseGain": 2.34375,
      "defenderBestResponseGain": 0.78125,
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      "exploitability": 1.5625,
      "exploitabilityPctPot": 1.5625,
      "exact": false,
      "fractions": {
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        "equilibriumCallFrequency": "4/5",
        "roundedQBetFrequency": "1/4",
        "roundedCallFrequency": "3/4",
        "exploitability": "25/16"
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    },
    {
      "id": "quarter-pot",
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      "labelJa": "1/4ポット",
      "betPotRatio": 0.25,
      "betChips": 25,
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      "equilibriumCallFrequency": 0.8,
      "roundedQBetFrequency": 0,
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      "equilibriumPayoff": 60,
      "roundedProfilePayoff": 62.5,
      "profileDelta": 2.5,
      "bettorBestResponseGain": 0,
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      "nashConv": 12.5,
      "exploitability": 6.25,
      "exploitabilityPctPot": 6.25,
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      "fractions": {
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        "equilibriumCallFrequency": "4/5",
        "roundedQBetFrequency": "0",
        "roundedCallFrequency": "1",
        "exploitability": "25/4"
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    },
    {
      "id": "one-third-pot",
      "labelEn": "1/3 pot",
      "labelJa": "1/3ポット",
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      "betChips": 33.333333333333,
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      "equilibriumCallFrequency": 0.75,
      "roundedQBetFrequency": 0.25,
      "roundedCallFrequency": 0.75,
      "equilibriumPayoff": 62.5,
      "roundedProfilePayoff": 62.5,
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      "defenderBestResponseGain": 0,
      "nashConv": 0,
      "exploitability": 0,
      "exploitabilityPctPot": 0,
      "exact": true,
      "fractions": {
        "equilibriumQBetFrequency": "1/4",
        "equilibriumCallFrequency": "3/4",
        "roundedQBetFrequency": "1/4",
        "roundedCallFrequency": "3/4",
        "exploitability": "0"
      }
    },
    {
      "id": "one-third-pot",
      "labelEn": "1/3 pot",
      "labelJa": "1/3ポット",
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      "betChips": 33.333333333333,
      "gridPoints": 5,
      "equilibriumQBetFrequency": 0.25,
      "equilibriumCallFrequency": 0.75,
      "roundedQBetFrequency": 0.25,
      "roundedCallFrequency": 0.75,
      "equilibriumPayoff": 62.5,
      "roundedProfilePayoff": 62.5,
      "profileDelta": 0,
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      "exploitabilityPctPot": 0,
      "exact": true,
      "fractions": {
        "equilibriumQBetFrequency": "1/4",
        "equilibriumCallFrequency": "3/4",
        "roundedQBetFrequency": "1/4",
        "roundedCallFrequency": "3/4",
        "exploitability": "0"
      }
    },
    {
      "id": "one-third-pot",
      "labelEn": "1/3 pot",
      "labelJa": "1/3ポット",
      "betPotRatio": 0.333333333333,
      "betChips": 33.333333333333,
      "gridPoints": 10,
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      "equilibriumCallFrequency": 0.75,
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      "roundedCallFrequency": 0.8,
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      "roundedProfilePayoff": 62.333333333333,
      "profileDelta": -0.166666666667,
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      "nashConv": 1.666666666667,
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        "equilibriumQBetFrequency": "1/4",
        "equilibriumCallFrequency": "3/4",
        "roundedQBetFrequency": "3/10",
        "roundedCallFrequency": "4/5",
        "exploitability": "5/6"
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    },
    {
      "id": "one-third-pot",
      "labelEn": "1/3 pot",
      "labelJa": "1/3ポット",
      "betPotRatio": 0.333333333333,
      "betChips": 33.333333333333,
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      "equilibriumCallFrequency": 0.75,
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      "roundedCallFrequency": 0.75,
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      "roundedProfilePayoff": 62.5,
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      "exploitabilityPctPot": 0,
      "exact": true,
      "fractions": {
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        "equilibriumCallFrequency": "3/4",
        "roundedQBetFrequency": "1/4",
        "roundedCallFrequency": "3/4",
        "exploitability": "0"
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    },
    {
      "id": "one-third-pot",
      "labelEn": "1/3 pot",
      "labelJa": "1/3ポット",
      "betPotRatio": 0.333333333333,
      "betChips": 33.333333333333,
      "gridPoints": 50,
      "equilibriumQBetFrequency": 0.25,
      "equilibriumCallFrequency": 0.75,
      "roundedQBetFrequency": 0.5,
      "roundedCallFrequency": 1,
      "equilibriumPayoff": 62.5,
      "roundedProfilePayoff": 58.333333333333,
      "profileDelta": -4.166666666667,
      "bettorBestResponseGain": 8.333333333333,
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      "exploitability": 4.166666666667,
      "exploitabilityPctPot": 4.166667,
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        "equilibriumCallFrequency": "3/4",
        "roundedQBetFrequency": "1/2",
        "roundedCallFrequency": "1",
        "exploitability": "25/6"
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    },
    {
      "id": "half-pot",
      "labelEn": "1/2 pot",
      "labelJa": "1/2ポット",
      "betPotRatio": 0.5,
      "betChips": 50,
      "gridPoints": 1,
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      "equilibriumCallFrequency": 0.666666666667,
      "roundedQBetFrequency": 0.33,
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      "roundedProfilePayoff": 66.6675,
      "profileDelta": 0.000833333333,
      "bettorBestResponseGain": 0.0825,
      "defenderBestResponseGain": 0.1675,
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      "exploitability": 0.125,
      "exploitabilityPctPot": 0.125,
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      "fractions": {
        "equilibriumQBetFrequency": "1/3",
        "equilibriumCallFrequency": "2/3",
        "roundedQBetFrequency": "33/100",
        "roundedCallFrequency": "67/100",
        "exploitability": "1/8"
      }
    },
    {
      "id": "half-pot",
      "labelEn": "1/2 pot",
      "labelJa": "1/2ポット",
      "betPotRatio": 0.5,
      "betChips": 50,
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      "profileDelta": 0.020833333333,
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      "fractions": {
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        "roundedQBetFrequency": "7/20",
        "roundedCallFrequency": "13/20",
        "exploitability": "5/8"
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    },
    {
      "id": "half-pot",
      "labelEn": "1/2 pot",
      "labelJa": "1/2ポット",
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      "betChips": 50,
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      "roundedProfilePayoff": 66.75,
      "profileDelta": 0.083333333333,
      "bettorBestResponseGain": 0.75,
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      "exploitabilityPctPot": 1.25,
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      "fractions": {
        "equilibriumQBetFrequency": "1/3",
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        "roundedQBetFrequency": "3/10",
        "roundedCallFrequency": "7/10",
        "exploitability": "5/4"
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    },
    {
      "id": "half-pot",
      "labelEn": "1/2 pot",
      "labelJa": "1/2ポット",
      "betPotRatio": 0.5,
      "betChips": 50,
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      "roundedProfilePayoff": 67.1875,
      "profileDelta": 0.520833333333,
      "bettorBestResponseGain": 1.5625,
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      "fractions": {
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        "roundedQBetFrequency": "1/4",
        "roundedCallFrequency": "3/4",
        "exploitability": "25/8"
      }
    },
    {
      "id": "half-pot",
      "labelEn": "1/2 pot",
      "labelJa": "1/2ポット",
      "betPotRatio": 0.5,
      "betChips": 50,
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      "equilibriumQBetFrequency": 0.333333333333,
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      "roundedProfilePayoff": 68.75,
      "profileDelta": 2.083333333333,
      "bettorBestResponseGain": 6.25,
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      "nashConv": 12.5,
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      "fractions": {
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        "roundedQBetFrequency": "1/2",
        "roundedCallFrequency": "1/2",
        "exploitability": "25/4"
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    },
    {
      "id": "three-quarters-pot",
      "labelEn": "3/4 pot",
      "labelJa": "3/4ポット",
      "betPotRatio": 0.75,
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      "bettorBestResponseGain": 0.07125,
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      "exploitabilityPctPot": 0.0625,
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      "fractions": {
        "equilibriumQBetFrequency": "3/7",
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        "roundedQBetFrequency": "43/100",
        "roundedCallFrequency": "57/100",
        "exploitability": "1/16"
      }
    },
    {
      "id": "three-quarters-pot",
      "labelEn": "3/4 pot",
      "labelJa": "3/4ポット",
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      "betChips": 75,
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      "fractions": {
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        "roundedQBetFrequency": "9/20",
        "roundedCallFrequency": "11/20",
        "exploitability": "15/16"
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    },
    {
      "id": "three-quarters-pot",
      "labelEn": "3/4 pot",
      "labelJa": "3/4ポット",
      "betPotRatio": 0.75,
      "betChips": 75,
      "gridPoints": 10,
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      "fractions": {
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        "roundedQBetFrequency": "2/5",
        "roundedCallFrequency": "3/5",
        "exploitability": "5/4"
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    },
    {
      "id": "three-quarters-pot",
      "labelEn": "3/4 pot",
      "labelJa": "3/4ポット",
      "betPotRatio": 0.75,
      "betChips": 75,
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      "equilibriumQBetFrequency": 0.428571428571,
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      "roundedQBetFrequency": 0.5,
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      "roundedProfilePayoff": 71.875,
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      "bettorBestResponseGain": 3.125,
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      "fractions": {
        "equilibriumQBetFrequency": "3/7",
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        "roundedQBetFrequency": "1/2",
        "roundedCallFrequency": "1/2",
        "exploitability": "25/8"
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    },
    {
      "id": "three-quarters-pot",
      "labelEn": "3/4 pot",
      "labelJa": "3/4ポット",
      "betPotRatio": 0.75,
      "betChips": 75,
      "gridPoints": 50,
      "equilibriumQBetFrequency": 0.428571428571,
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      "roundedQBetFrequency": 0.5,
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      "equilibriumPayoff": 71.428571428571,
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      "profileDelta": 0.446428571429,
      "bettorBestResponseGain": 3.125,
      "defenderBestResponseGain": 3.125,
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      "exploitability": 3.125,
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      "fractions": {
        "equilibriumQBetFrequency": "3/7",
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        "roundedQBetFrequency": "1/2",
        "roundedCallFrequency": "1/2",
        "exploitability": "25/8"
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    },
    {
      "id": "pot",
      "labelEn": "Pot",
      "labelJa": "ポット",
      "betPotRatio": 1,
      "betChips": 100,
      "gridPoints": 1,
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      "equilibriumPayoff": 75,
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      "profileDelta": 0,
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      "fractions": {
        "equilibriumQBetFrequency": "1/2",
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}