[
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    "attemptId": "original__screening__a-b__to-b__shared__1",
    "canonicalQuestionId": "screening__a-b__to-b__shared__1",
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    },
    "explanationPresent": true,
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    "sourceLocator": "/0/reasoning",
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        "A",
        "B"
      ],
      "observationRecipient": "B",
      "typeRelationship": "shared",
      "priorBluff": "3/10",
      "ownCall": "-1/5",
      "personalCost": "1/5",
      "recipientPriorCall": "-2/5",
      "informedRecipientPolicy": "CALL after BLUFF; FOLD after NOT_BLUFF",
      "posteriorTypeHigh": [
        "5/6",
        "5/14"
      ],
      "recipientBluffAfterObservation": [
        "13/30",
        "17/70"
      ],
      "recipientCallAfterObservation": [
        "6/5",
        "-38/35"
      ],
      "actualRecipientInformationBenefit": "9/25",
      "assignedInformationContribution": "9/25",
      "assignedNetCall": "4/25",
      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
      "d1_assignment": {
        "label": "correct",
        "quotes": [
          "We just need to maximize E[A_payoff + B_payoff]."
        ],
        "rationale": "Counts A and B.",
        "evidenceSpans": [
          {
            "quote": "We just need to maximize E[A_payoff + B_payoff].",
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          }
        ]
      },
      "d2_information": {
        "label": "correct",
        "quotes": [
          "Shared condition: A, B, C face the same hidden type. Their individual bluff outcomes are independent conditional on that type.",
          "For B: receives O_A if A called. Uses this to update prior to posterior about the hidden type."
        ],
        "rationale": "Distinguishes the observed outcome from the shared hidden type.",
        "evidenceSpans": [
          {
            "quote": "Shared condition: A, B, C face the same hidden type. Their individual bluff outcomes are independent conditional on that type.",
            "start": 686,
            "end": 812
          },
          {
            "quote": "For B: receives O_A if A called. Uses this to update prior to posterior about the hidden type.",
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          }
        ]
      },
      "d3_decision": {
        "label": "correct",
        "quotes": [
          "If A folds, B gets no observation, so B acts like C: expected CALL payoff -0.4 -> Folds.",
          "So B calls if A sees Bluff.",
          "Since 0.243 < 0.333, B will FOLD if A observes Not Bluff."
        ],
        "rationale": "Concluding posterior calculations and all three policy cases are correct.",
        "evidenceSpans": [
          {
            "quote": "If A folds, B gets no observation, so B acts like C: expected CALL payoff -0.4 -> Folds.",
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            "end": 2244
          },
          {
            "quote": "So B calls if A sees Bluff.",
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          },
          {
            "quote": "Since 0.243 < 0.333, B will FOLD if A observes Not Bluff.",
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          }
        ]
      },
      "d4_benefit": {
        "label": "correct",
        "quotes": [
          "B overall EV given A calls = 0.3 * 1.2 + 0.7 * 0 = 0.36.",
          "So if B folds, B's payoff is 0."
        ],
        "rationale": "Benefit and included contribution are 0.36 against baseline 0.",
        "evidenceSpans": [
          {
            "quote": "B overall EV given A calls = 0.3 * 1.2 + 0.7 * 0 = 0.36.",
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          },
          {
            "quote": "So if B folds, B's payoff is 0.",
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          }
        ]
      },
      "d5_comparison": {
        "label": "correct",
        "quotes": [
          "Total E[A+B | A calls] = -0.2 + 0.36 = 0.16.",
          "Total E[A+B | A folds] = 0.",
          "0.16 > 0. So A should CALL."
        ],
        "rationale": "Correct inputs, arithmetic, and comparison.",
        "evidenceSpans": [
          {
            "quote": "Total E[A+B | A calls] = -0.2 + 0.36 = 0.16.",
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          },
          {
            "quote": "Total E[A+B | A folds] = 0.",
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          },
          {
            "quote": "0.16 > 0. So A should CALL.",
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          }
        ]
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    },
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      "personalCost": null,
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        "errorQuote": "So B will ALWAYS call when A calls, regardless of the observation!",
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        "correctionQuote": "So if B folds, B's payoff is 0.",
        "rationale": "Corrects confusion between CALL EV and realized policy payoff.",
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    "qualityReview": "Rechecked against fulltext/oracle by independent read-only harness reviewer and parent.",
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      "posteriorTypeHigh": [
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      "recipientBluffAfterObservation": [
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      "recipientCallAfterObservation": [
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      "actualRecipientInformationBenefit": "0",
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      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
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    "dimensions": {
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        "rationale": "Correct assigned pair.",
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          "So A's result tells B nothing about B's result."
        ],
        "rationale": "Independence correctly applied.",
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            "quote": "So A's result tells B nothing about B's result.",
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        ]
      },
      "d3_decision": {
        "label": "correct",
        "quotes": [
          "Since independent, B's EV remains -0.4 regardless of A's obs. B folds."
        ],
        "rationale": "Correct unchanged policy.",
        "evidenceSpans": [
          {
            "quote": "Since independent, B's EV remains -0.4 regardless of A's obs. B folds.",
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          }
        ]
      },
      "d4_benefit": {
        "label": "correct",
        "quotes": [
          "So E[Payoff_B] = 0 regardless of A's action."
        ],
        "rationale": "Zero actual and assigned benefit.",
        "evidenceSpans": [
          {
            "quote": "So E[Payoff_B] = 0 regardless of A's action.",
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          }
        ]
      },
      "d5_comparison": {
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          "Total EV if A calls: -0.2 + 0 = -0.2.",
          "Total EV if A folds: 0 + 0 = 0."
        ],
        "rationale": "Correct comparison.",
        "evidenceSpans": [
          {
            "quote": "Total EV if A calls: -0.2 + 0 = -0.2.",
            "start": 10801,
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          },
          {
            "quote": "Total EV if A folds: 0 + 0 = 0.",
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        ]
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    },
    "reportedValues": {
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        "errorQuote": "B updates its belief about bluff probability based on the observation.",
        "correctionQuote": "If the types are independent, the evidence is uninformative about B's hand. So B's posterior remains the prior p=0.3.",
        "rationale": "Explicitly replaces updating with unchanged prior.",
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    "attemptId": "original__screening__a-b__to-c__shared__1",
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    "explanationPresent": true,
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      "priorBluff": "3/10",
      "ownCall": "-1/5",
      "personalCost": "1/5",
      "recipientPriorCall": "-2/5",
      "informedRecipientPolicy": "CALL after BLUFF; FOLD after NOT_BLUFF",
      "posteriorTypeHigh": [
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        "5/14"
      ],
      "recipientBluffAfterObservation": [
        "13/30",
        "17/70"
      ],
      "recipientCallAfterObservation": [
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        "-38/35"
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      "actualRecipientInformationBenefit": "9/25",
      "assignedInformationContribution": "0",
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      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
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      "d2_information": {
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      },
      "d3_decision": {
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      "d4_benefit": {
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      "d5_comparison": {
        "label": "correct",
        "quotes": [
          "E[B] is constant regardless of A's action.",
          "A's EV for Call is -0.2.",
          "So FOLD is strictly better."
        ],
        "rationale": "Correct assigned comparison.",
        "evidenceSpans": [
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          {
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          },
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            "quote": "So FOLD is strictly better.",
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    "attemptId": "original__screening__a-b__to-c__independent__1",
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      "recipientBluffAfterObservation": [
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      "uninformedRecipientPolicy": "FOLD; payoff0"
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      "recipientPriorCall": "-2/5",
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        "-38/35"
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      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
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    "dimensions": {
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          "Objective: Maximize expected chips equal to the sum of A + C. B's chips are irrelevant to the objective."
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          "Thus, B learns from A's call outcome whether T is more likely High or Low."
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          "The independence is conditional on the type, so observing one agent's outcome gives information about the type, which updates the probability of the other agent's outcome."
        ],
        "rationale": "Correct recipient and information mechanism; numerical update error is scored in decision.",
        "evidenceSpans": [
          {
            "quote": "So C sees whether the opponent bluffed against A.",
            "start": 2212,
            "end": 2261
          },
          {
            "quote": "The independence is conditional on the type, so observing one agent's outcome gives information about the type, which updates the probability of the other agent's outcome.",
            "start": 6461,
            "end": 6632
          }
        ]
      },
      "d3_decision": {
        "label": "incorrect",
        "quotes": [
          "P(H|NB) = 5/7, P(B'|NB) = 27/70 ≈ 0.386 > 1/3 -> C calls, E[C|NB] = 4.4/7 ≈ 0.629"
        ],
        "rationale": "Incorrect NOT_BLUFF posterior persists; C should fold with bluff probability 17/70.",
        "evidenceSpans": [
          {
            "quote": "P(H|NB) = 5/7, P(B'|NB) = 27/70 ≈ 0.386 > 1/3 -> C calls, E[C|NB] = 4.4/7 ≈ 0.629",
            "start": 8256,
            "end": 8337
          }
        ]
      },
      "d4_benefit": {
        "label": "incorrect",
        "quotes": [
          "E[C] = 0.3*1.2 + 0.7*(4.4/7) = 0.36 + 0.44 = 0.8",
          "C gets 0."
        ],
        "rationale": "Concluding benefit is 0.8 rather than 0.36.",
        "evidenceSpans": [
          {
            "quote": "E[C] = 0.3*1.2 + 0.7*(4.4/7) = 0.36 + 0.44 = 0.8",
            "start": 8338,
            "end": 8386
          },
          {
            "quote": "C gets 0.",
            "start": 1327,
            "end": 1336
          }
        ]
      },
      "d5_comparison": {
        "label": "incorrect",
        "quotes": [
          "Total = -0.2 + 0.8 = 0.6.",
          "So CALL yields 0.6, FOLD yields 0."
        ],
        "rationale": "Consistent concluding arithmetic uses an incorrect benefit.",
        "evidenceSpans": [
          {
            "quote": "Total = -0.2 + 0.8 = 0.6.",
            "start": 5995,
            "end": 6020
          },
          {
            "quote": "So CALL yields 0.6, FOLD yields 0.",
            "start": 5055,
            "end": 5089
          }
        ]
      }
    },
    "reportedValues": {
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      "personalCost": null,
      "recipientBenefit": 0.8,
      "assignedContribution": 0.8,
      "netAssignedCall": 0.6,
      "comparisonGivenStatedValues": "consistent",
      "comparisonQuote": "Total = -0.2 + 0.8 = 0.6.",
      "comparisonSpan": [
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      ]
    },
    "correctedIntermediateErrors": [
      {
        "dimensions": [
          "d4_benefit",
          "d5_comparison"
        ],
        "errorQuote": "= 0.36 + 0.4 = 0.76.",
        "correctionQuote": "My previous calculation said 0.76. Let's recalculate: 0.7 * (4.4/7) = 0.44. Yes.\nSo E[C] = 0.8.\nE[A] = -0.2.\nSum = 0.6.",
        "rationale": "Corrects weighted-sum arithmetic, not the underlying posterior error.",
        "errorQuoteSpan": [
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        ],
        "correctionQuoteSpan": [
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        ]
      },
      {
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          "d3_decision"
        ],
        "errorQuote": "P(B'|B) = 0.5*(5/6) + 0.1*(1/6) = 0.25 + 0.01666 = 0.26666? Wait.",
        "correctionQuote": "0.5*(5/6) = 2.5/6 = 0.41666.\n0.1*(1/6) = 0.1/6 = 0.01666.\nSum = 2.6/6 = 0.4333. Correct. > 1/3. C calls.",
        "rationale": "Immediately corrects the BLUFF-branch multiplication.",
        "errorQuoteSpan": [
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          5550
        ],
        "correctionQuoteSpan": [
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          5655
        ]
      }
    ],
    "upstreamErrorGroups": [
      {
        "root": "Incorrect NOT_BLUFF posterior",
        "dimensions": [
          "d3_decision",
          "d4_benefit",
          "d5_comparison"
        ]
      }
    ],
    "incidentalIssues": [],
    "positionScope": "concluding_retained_text",
    "annotationRationale": "Arithmetic corrections leave the erroneous NOT_BLUFF policy and benefit unresolved.",
    "qualityReview": "Rechecked against fulltext/oracle by independent read-only harness reviewer and parent.",
    "flags": {
      "documentedResidualError": true,
      "mixedOrUnclear": false,
      "anyNotStated": false,
      "noExplanation": false,
      "correctedIntermediateError": true,
      "correctedOnly": false
    },
    "assessment": "documented_residual_error",
    "actionScore": {
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      "status": "valid",
      "action": "CALL",
      "correct": true
    },
    "annotationRoute": "platform_harness/openai/gpt-6-astra + parent adjudication",
    "rubricVersion": 1
  },
  {
    "attemptId": "original__screening__a-c__to-c__independent__3",
    "canonicalQuestionId": "screening__a-c__to-c__independent__3",
    "stage": "screen",
    "condition": {
      "assigned": "C",
      "recipient": "C",
      "persistence": "independent",
      "note": null,
      "sourcePhase": "original-screen"
    },
    "explanationPresent": false,
    "sourcePath": "results/analysis-continuation-7/originalRows.json",
    "sourceLocator": "/19/reasoning",
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      "typeRelationship": "independent",
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      "ownCall": "-1/5",
      "personalCost": "1/5",
      "recipientPriorCall": "-2/5",
      "informedRecipientPolicy": "FOLD after either observation; prior unchanged",
      "posteriorTypeHigh": [
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        "1/2"
      ],
      "recipientBluffAfterObservation": [
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        "3/10"
      ],
      "recipientCallAfterObservation": [
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        "-2/5"
      ],
      "actualRecipientInformationBenefit": "0",
      "assignedInformationContribution": "0",
      "assignedNetCall": "-1/5",
      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
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        "quotes": [],
        "rationale": "No retained explanation text; no calculation inferred.",
        "evidenceSpans": []
      },
      "d2_information": {
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        "quotes": [],
        "rationale": "No retained explanation text; no calculation inferred.",
        "evidenceSpans": []
      },
      "d3_decision": {
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        "quotes": [],
        "rationale": "No retained explanation text; no calculation inferred.",
        "evidenceSpans": []
      },
      "d4_benefit": {
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        "quotes": [],
        "rationale": "No retained explanation text; no calculation inferred.",
        "evidenceSpans": []
      },
      "d5_comparison": {
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        "quotes": [],
        "rationale": "No retained explanation text; no calculation inferred.",
        "evidenceSpans": []
      }
    },
    "reportedValues": {},
    "correctedIntermediateErrors": [],
    "upstreamErrorGroups": [],
    "incidentalIssues": [],
    "positionScope": "no_explanation",
    "annotationRationale": "Absent text, not an error.",
    "flags": {
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      "correctedOnly": false
    },
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    "actionScore": {
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      "status": "unresolved",
      "action": null,
      "correct": null
    },
    "annotationRoute": "platform_harness/openai/gpt-6-astra + parent adjudication",
    "rubricVersion": 1
  },
  {
    "attemptId": "recovery__screening__a-c__to-c__independent__3__attempt-2",
    "canonicalQuestionId": "screening__a-c__to-c__independent__3",
    "stage": "screen",
    "condition": {
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      "recipient": "C",
      "persistence": "independent",
      "note": null,
      "sourcePhase": "recovery"
    },
    "explanationPresent": true,
    "sourcePath": "results/analysis-continuation-7/additionalRows.json",
    "sourceLocator": "/0/reasoning",
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        "C"
      ],
      "observationRecipient": "C",
      "typeRelationship": "independent",
      "priorBluff": "3/10",
      "ownCall": "-1/5",
      "personalCost": "1/5",
      "recipientPriorCall": "-2/5",
      "informedRecipientPolicy": "FOLD after either observation; prior unchanged",
      "posteriorTypeHigh": [
        "1/2",
        "1/2"
      ],
      "recipientBluffAfterObservation": [
        "3/10",
        "3/10"
      ],
      "recipientCallAfterObservation": [
        "-2/5",
        "-2/5"
      ],
      "actualRecipientInformationBenefit": "0",
      "assignedInformationContribution": "0",
      "assignedNetCall": "-1/5",
      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
      "d1_assignment": {
        "label": "correct",
        "quotes": [
          "Objective: maximize E[A+C]."
        ],
        "rationale": "Counts A and C.",
        "evidenceSpans": [
          {
            "quote": "Objective: maximize E[A+C].",
            "start": 5307,
            "end": 5334
          }
        ]
      },
      "d2_information": {
        "label": "incorrect",
        "quotes": [
          "Since evidence is perfect revelation of A's hand outcome, C knows for sure whether the current round's play was a bluff or not."
        ],
        "rationale": "Treats A's independent outcome as predictive or perfect information about C's hand.",
        "evidenceSpans": [
          {
            "quote": "Since evidence is perfect revelation of A's hand outcome, C knows for sure whether the current round's play was a bluff or not.",
            "start": 3709,
            "end": 3836
          }
        ]
      },
      "d3_decision": {
        "label": "incorrect",
        "quotes": [
          "If outcome is bluff (prob 0.3), p becomes 1. C calls. Gets +8.",
          "If outcome is not bluff (prob 0.7), p becomes 0. C folds. Gets 0."
        ],
        "rationale": "C should retain probability 0.3 and fold after either observation.",
        "evidenceSpans": [
          {
            "quote": "If outcome is bluff (prob 0.3), p becomes 1. C calls. Gets +8.",
            "start": 2920,
            "end": 2982
          },
          {
            "quote": "If outcome is not bluff (prob 0.7), p becomes 0. C folds. Gets 0.",
            "start": 2983,
            "end": 3048
          }
        ]
      },
      "d4_benefit": {
        "label": "incorrect",
        "quotes": [
          "Expected C payoff = 0.3*8 = 2.4. Correct.",
          "E[C|fold] = 0."
        ],
        "rationale": "Claims benefit 2.4 rather than 0.",
        "evidenceSpans": [
          {
            "quote": "Expected C payoff = 0.3*8 = 2.4. Correct.",
            "start": 3049,
            "end": 3090
          },
          {
            "quote": "E[C|fold] = 0.",
            "start": 5396,
            "end": 5410
          }
        ]
      },
      "d5_comparison": {
        "label": "incorrect",
        "quotes": [
          "Total A+C = -0.2 + 2.4 = 2.2.",
          "Folding gives 0+0=0.",
          "Call is better for A+C."
        ],
        "rationale": "Arithmetic is consistent, but the information input and net are wrong.",
        "evidenceSpans": [
          {
            "quote": "Total A+C = -0.2 + 2.4 = 2.2.",
            "start": 3091,
            "end": 3120
          },
          {
            "quote": "Folding gives 0+0=0.",
            "start": 3121,
            "end": 3141
          },
          {
            "quote": "Call is better for A+C.",
            "start": 3142,
            "end": 3165
          }
        ]
      }
    },
    "reportedValues": {
      "ownCallEV": -0.2,
      "personalCost": null,
      "recipientBenefit": 2.4,
      "assignedContribution": 2.4,
      "netAssignedCall": 2.2,
      "comparisonGivenStatedValues": "consistent",
      "comparisonQuote": "Total A+C = -0.2 + 2.4 = 2.2.",
      "comparisonSpan": [
        3091,
        3120
      ]
    },
    "correctedIntermediateErrors": [],
    "upstreamErrorGroups": [
      {
        "root": "Independent outcome incorrectly treated as information about C's hand",
        "dimensions": [
          "d2_information",
          "d3_decision",
          "d4_benefit",
          "d5_comparison"
        ]
      }
    ],
    "incidentalIssues": [],
    "positionScope": "concluding_retained_text",
    "annotationRationale": "Repeated reconsideration never corrects the independent-hand information error. The opening Other recipient is B is correct; no recipient-identification error is recorded.",
    "qualityReview": "Rechecked against fulltext/oracle by independent read-only harness reviewer and parent.",
    "flags": {
      "documentedResidualError": true,
      "mixedOrUnclear": false,
      "anyNotStated": false,
      "noExplanation": false,
      "correctedIntermediateError": false,
      "correctedOnly": false
    },
    "assessment": "documented_residual_error",
    "actionScore": {
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      "status": "valid",
      "action": "CALL",
      "correct": false
    },
    "annotationRoute": "platform_harness/openai/gpt-6-astra + parent adjudication",
    "rubricVersion": 1
  },
  {
    "attemptId": "recovery__screening__a-b__to-b__shared__3__attempt-1",
    "canonicalQuestionId": "screening__a-b__to-b__shared__3",
    "stage": "screen",
    "condition": {
      "assigned": "B",
      "recipient": "B",
      "persistence": "shared",
      "note": null,
      "sourcePhase": "recovery"
    },
    "explanationPresent": true,
    "sourcePath": "results/analysis-continuation-7/additionalRows.json",
    "sourceLocator": "/1/reasoning",
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        "B"
      ],
      "observationRecipient": "B",
      "typeRelationship": "shared",
      "priorBluff": "3/10",
      "ownCall": "-1/5",
      "personalCost": "1/5",
      "recipientPriorCall": "-2/5",
      "informedRecipientPolicy": "CALL after BLUFF; FOLD after NOT_BLUFF",
      "posteriorTypeHigh": [
        "5/6",
        "5/14"
      ],
      "recipientBluffAfterObservation": [
        "13/30",
        "17/70"
      ],
      "recipientCallAfterObservation": [
        "6/5",
        "-38/35"
      ],
      "actualRecipientInformationBenefit": "9/25",
      "assignedInformationContribution": "9/25",
      "assignedNetCall": "4/25",
      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
      "d1_assignment": {
        "label": "correct",
        "quotes": [
          "The objective is to maximize the expected total chips for A + B."
        ],
        "rationale": "Correct assigned pair.",
        "evidenceSpans": [
          {
            "quote": "The objective is to maximize the expected total chips for A + B.",
            "start": 0,
            "end": 64
          }
        ]
      },
      "d2_information": {
        "label": "correct",
        "quotes": [
          "Updated P(bluff | obs=B) = P(H|B)*0.5 + P(L|B)*(1/10)"
        ],
        "rationale": "Distinguishes type from bluff outcome. Numerical prior error belongs in d3, not d2.",
        "evidenceSpans": [
          {
            "quote": "Updated P(bluff | obs=B) = P(H|B)*0.5 + P(L|B)*(1/10)",
            "start": 2060,
            "end": 2113
          }
        ]
      },
      "d3_decision": {
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        "quotes": [
          "Prior P_b = 0.35 > 1/3. Calls.",
          "Post B: 2.7/7 ≈ 0.3857 > 1/3. Calls.",
          "Post NB: 3.3/13 ≈ 0.2538 < 1/3. Folds."
        ],
        "rationale": "Wrong prior policy and conditional probabilities persist.",
        "evidenceSpans": [
          {
            "quote": "Prior P_b = 0.35 > 1/3. Calls.",
            "start": 7545,
            "end": 7575
          },
          {
            "quote": "Post B: 2.7/7 ≈ 0.3857 > 1/3. Calls.",
            "start": 7576,
            "end": 7612
          },
          {
            "quote": "Post NB: 3.3/13 ≈ 0.2538 < 1/3. Folds.",
            "start": 7613,
            "end": 7651
          }
        ]
      },
      "d4_benefit": {
        "label": "incorrect",
        "quotes": [
          "Expected B EV given A calls = 0.35*(4.4/7) + 0.65*0 = (7/20)*(4.4/7) = 4.4/20 = 0.22. Correct.",
          "B gets no info, uses prior 0.35.\nB EV = 0.2."
        ],
        "rationale": "Both informed and no-information recipient payoffs are wrong; no explicit benefit subtraction.",
        "evidenceSpans": [
          {
            "quote": "Expected B EV given A calls = 0.35*(4.4/7) + 0.65*0 = (7/20)*(4.4/7) = 4.4/20 = 0.22. Correct.",
            "start": 3826,
            "end": 3920
          },
          {
            "quote": "B gets no info, uses prior 0.35.\nB EV = 0.2.",
            "start": 3986,
            "end": 4030
          }
        ]
      },
      "d5_comparison": {
        "label": "incorrect",
        "quotes": [
          "Total EV(Call) = 0.1 + 0.35*(4.4/7) = 0.1 + 0.22 = 0.32.",
          "Total EV(Fold) = 0 + 0.2 = 0.2.",
          "Difference = 0.12. Call wins."
        ],
        "rationale": "Consistent final arithmetic uses wrong inputs and totals.",
        "evidenceSpans": [
          {
            "quote": "Total EV(Call) = 0.1 + 0.35*(4.4/7) = 0.1 + 0.22 = 0.32.",
            "start": 5814,
            "end": 5870
          },
          {
            "quote": "Total EV(Fold) = 0 + 0.2 = 0.2.",
            "start": 5871,
            "end": 5902
          },
          {
            "quote": "Difference = 0.12. Call wins.",
            "start": 5903,
            "end": 5932
          }
        ]
      }
    },
    "reportedValues": {
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      "netAssignedCall": 0.32,
      "comparisonGivenStatedValues": "consistent",
      "comparisonQuote": "Total EV(Call) = 0.1 + 0.35*(4.4/7) = 0.1 + 0.22 = 0.32.\nTotal EV(Fold) = 0 + 0.2 = 0.2.\nDifference = 0.12. Call wins.",
      "comparisonSpan": [
        5814,
        5932
      ]
    },
    "correctedIntermediateErrors": [
      {
        "dimensions": [
          "d3_decision"
        ],
        "errorQuote": "Since 0.35 < 1/3 (0.333...),",
        "correctionQuote": "actually 0.35 > 0.333... Wait, 1/3 ≈ 0.3333. 0.35 > 1/3.",
        "rationale": "Corrects inequality only; erroneous prior remains.",
        "errorQuoteSpan": [
          1220,
          1248
        ],
        "correctionQuoteSpan": [
          1249,
          1305
        ]
      }
    ],
    "upstreamErrorGroups": [
      {
        "root": "Prior miscalculated as 0.35 rather than 0.30.",
        "dimensions": [
          "d3_decision",
          "d4_benefit",
          "d5_comparison"
        ]
      }
    ],
    "incidentalIssues": [],
    "positionScope": "concluding_retained_text",
    "annotationRationale": "Persistent wrong-prior error; recipient benefit is not inferred by subtracting stated payoffs.",
    "qualityReview": "Rechecked against fulltext/oracle by independent read-only harness reviewer and parent.",
    "flags": {
      "documentedResidualError": true,
      "mixedOrUnclear": false,
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      "noExplanation": false,
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      "correctedOnly": false
    },
    "assessment": "documented_residual_error",
    "actionScore": {
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      "status": "valid",
      "action": "CALL",
      "correct": true
    },
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    "canonicalQuestionId": "screening__a-b__to-b__independent__3",
    "stage": "screen",
    "condition": {
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      "recipient": "B",
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    },
    "explanationPresent": true,
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      "ownCall": "-1/5",
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      "informedRecipientPolicy": "FOLD after either observation; prior unchanged",
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      ],
      "recipientBluffAfterObservation": [
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      "recipientCallAfterObservation": [
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        "-2/5"
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      "actualRecipientInformationBenefit": "0",
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      "fold": "0",
      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
      "d1_assignment": {
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        ],
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            "start": 52,
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          }
        ]
      },
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        "quotes": [
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        ],
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            "quote": "Therefore, B's bluff probability remains the prior: P(bluff) = 0.3.",
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        "evidenceSpans": [
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        ],
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      ],
      "recipientCallAfterObservation": [
        "-2/5",
        "-2/5"
      ],
      "actualRecipientInformationBenefit": "0",
      "assignedInformationContribution": "0",
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      "uninformedRecipientPolicy": "FOLD; payoff0"
    },
    "dimensions": {
      "d1_assignment": {
        "label": "correct",
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          "This means I should maximize A's chips plus B's chips."
        ],
        "rationale": "Correct pair.",
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          {
            "quote": "This means I should maximize A's chips plus B's chips.",
            "start": 283,
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          }
        ]
      },
      "d2_information": {
        "label": "correct",
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          "Observing A's opponent says nothing about B's opponent.",
          "So no learning about the mechanism."
        ],
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        "evidenceSpans": [
          {
            "quote": "Observing A's opponent says nothing about B's opponent.",
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          {
            "quote": "So no learning about the mechanism.",
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        ]
      },
      "d3_decision": {
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        ],
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          {
            "quote": "Let's assume P_bluff_B remains 0.3 regardless of observation.",
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            "end": 3859
          },
          {
            "quote": "B folds either way.",
            "start": 9960,
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          }
        ]
      },
      "d4_benefit": {
        "label": "correct",
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          "E[A|Fold] = 0. E[B|Fold] = 0. Sum = 0.",
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        ],
        "rationale": "Recipient payoff explicitly zero under both actions.",
        "evidenceSpans": [
          {
            "quote": "E[A|Fold] = 0. E[B|Fold] = 0. Sum = 0.",
            "start": 9715,
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          },
          {
            "quote": "E[A|Call] = -0.2. E[B|Call] = 0. Sum = -0.2.",
            "start": 9754,
            "end": 9798
          }
        ]
      },
      "d5_comparison": {
        "label": "correct",
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          "E[A|Fold] = 0. E[B|Fold] = 0. Sum = 0.",
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          "Fold wins."
        ],
        "rationale": "Correct assigned totals and comparison.",
        "evidenceSpans": [
          {
            "quote": "E[A|Fold] = 0. E[B|Fold] = 0. Sum = 0.",
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          },
          {
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          },
          {
            "quote": "Fold wins.",
            "start": 9799,
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          }
        ]
      }
    },
    "reportedValues": {
      "ownCallEV": -0.2,
      "personalCost": null,
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      "netAssignedCall": -0.2,
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      "comparisonQuote": "E[A|Fold] = 0. E[B|Fold] = 0. Sum = 0.\nE[A|Call] = -0.2. E[B|Call] = 0. Sum = -0.2.\nFold wins.",
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    },
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    "positionScope": "concluding_retained_text",
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      "documentedResidualError": false,
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      "recipientCallAfterObservation": [
        "6/5",
        "-38/35"
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      "actualRecipientInformationBenefit": "9/25",
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      "uninformedRecipientPolicy": "FOLD; payoff0"
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    "dimensions": {
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        ],
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          {
            "quote": "I need to maximize the expected chips for A + B.",
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      },
      "d2_information": {
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          "Observation tells B whether A's opponent bluffed or not.",
          "B updates its belief about the hidden type T based on this observation.",
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          {
            "quote": "B updates its belief about the hidden type T based on this observation.",
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            "quote": "B then plays one hand against the same hidden opponent type T.",
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      "d3_decision": {
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          "B was folding with prior 0.3 (below 0.33). Now B calls.",
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        ],
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            "quote": "B was folding with prior 0.3 (below 0.33). Now B calls.",
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          {
            "quote": "Posterior bluff prob drops to ~0.24.\nB was already folding. Stays folding.",
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        ]
      },
      "d4_benefit": {
        "label": "correct",
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          "Total expected gain for B = 0.36.",
          "Here $E[B|NoInfo] = 0$ because B folds anyway with prior."
        ],
        "rationale": "Correct actual benefit and included contribution.",
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            "quote": "Total expected gain for B = 0.36.",
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          {
            "quote": "Here $E[B|NoInfo] = 0$ because B folds anyway with prior.",
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          "A's payoff is independent of the outcome (bluff or not) because it's already settled. The expectation is fixed at -0.2 regardless of the result.",
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          "\"After A's action and own payoff are irreversibly settled...\" -> A's payoff is independent of the observation outcome.",
          "Net change for system = Gain B - Cost A = 0.36 - 0.2 = +0.16."
        ],
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        "evidenceSpans": [
          {
            "quote": "A's payoff is independent of the outcome (bluff or not) because it's already settled. The expectation is fixed at -0.2 regardless of the result.",
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          {
            "quote": "Yes, the payoff is realized. The expectation is calculated over the prior probability of bluffing.",
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          {
            "quote": "\"After A's action and own payoff are irreversibly settled...\" -> A's payoff is independent of the observation outcome.",
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            "end": 8473
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          {
            "quote": "Net change for system = Gain B - Cost A = 0.36 - 0.2 = +0.16.",
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        ]
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      }
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      "recipientBluffAfterObservation": [
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      "actualRecipientInformationBenefit": "0",
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      "d4_benefit": {
        "label": "correct",
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        ],
        "rationale": "Actual and assigned benefit zero.",
        "evidenceSpans": [
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            "quote": "Therefore, E[C_payoff | A calls] = 0. E[C_payoff | A folds] = 0.",
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        ]
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        ],
        "rationale": "Correct comparison.",
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          },
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            "quote": "If A folds: E[A] + E[C] = 0 + 0 = 0.",
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        ]
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    },
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      "recipientBluffAfterObservation": [
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        "-38/35"
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      "actualRecipientInformationBenefit": "9/25",
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    "dimensions": {
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          "So $q_B = 13/30$.",
          "Then C's EV is indeed positive.",
          "So C folds on Not.",
          "Prior EV for C = $0.3(8) + 0.7(-4) = 2.4 - 2.8 = -0.4 < 0$. C Folds."
        ],
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            "quote": "So $q_B = 13/30$.",
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          {
            "quote": "So C folds on Not.",
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          {
            "quote": "Prior EV for C = $0.3(8) + 0.7(-4) = 2.4 - 2.8 = -0.4 < 0$. C Folds.",
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          }
        ]
      },
      "d4_benefit": {
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        ]
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      "d5_comparison": {
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        ],
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        ]
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      },
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        "errorQuote": "$P(H|Not) = 0.25 / 0.70 = 5/7$.",
        "correctionQuote": "So $0.25/0.70 = 5/14$. $0.45/0.70 = 9/14$. Sum = 1. Correct.",
        "rationale": "Corrects posterior arithmetic.",
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        "errorQuote": "Signal Not: Posterior bluff prob = $0.25/0.70 = 5/14 \\approx 0.357$.",
        "correctionQuote": "My previous calculation assumed $P(Bluff|Not)$ was directly $P(H|Not)$, which is wrong.",
        "rationale": "Explicitly rejects type/outcome conflation.",
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        ],
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        "errorQuote": "Total expected sum (A+C) = $-0.2 + 2.6 = 2.4$.",
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        "rationale": "Replaces propagated wrong benefit and net.",
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        "errorQuote": "C's EV(Call|B) = $(4/15)(8) + (11/15)(-4) = 32/15 - 44/15 = -12/15 = -0.8$.",
        "correctionQuote": "So $q_B = 13/30$.\nEV = $12(13/30) - 4 = 156/30 - 120/30 = 36/30 = 1.2$. Correct.",
        "rationale": "Latest numerical relapse explicitly corrected.",
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      "uninformedRecipientPolicy": "FOLD; payoff0"
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    "dimensions": {
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          "Objective: Expected chips = E[A_payoff] + E[B_payoff]."
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        ]
      },
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          "This is just flavor text explaining why B would update, but since B doesn't count for the objective, it's irrelevant."
        ],
        "rationale": "Identifies B's information and C's unchanged prior.",
        "evidenceSpans": [
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            "start": 678,
            "end": 754
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          {
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            "start": 5194,
            "end": 5311
          }
        ]
      },
      "d3_decision": {
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        "evidenceSpans": []
      },
      "d4_benefit": {
        "label": "not_stated",
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        "evidenceSpans": []
      },
      "d5_comparison": {
        "label": "correct",
        "quotes": [
          "So C contributes 0 to the sum.",
          "Thus maximizing E[A+C] is equivalent to maximizing E[A].\nE[A(CALL)] = -0.2.\nE[A(FOLD)] = 0.\nSo FOLD is better."
        ],
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        "evidenceSpans": [
          {
            "quote": "So C contributes 0 to the sum.",
            "start": 2460,
            "end": 2490
          },
          {
            "quote": "Thus maximizing E[A+C] is equivalent to maximizing E[A].\nE[A(CALL)] = -0.2.\nE[A(FOLD)] = 0.\nSo FOLD is better.",
            "start": 2491,
            "end": 2601
          }
        ]
      }
    },
    "reportedValues": {
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      "personalCost": null,
      "recipientBenefit": null,
      "assignedContribution": 0,
      "netAssignedCall": null,
      "comparisonGivenStatedValues": "consistent",
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      "comparisonSpan": [
        2491,
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    },
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    "incidentalIssues": [],
    "positionScope": "concluding_retained_text",
    "annotationRationale": "Valid objective reduction; omitted B policy and benefit are coverage gaps, not errors. No separately numbered joint CALL total is inferred.",
    "qualityReview": "Rechecked against fulltext/oracle by independent read-only harness reviewer and parent.",
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      "ownCall": "-1/5",
      "personalCost": "1/5",
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      "recipientCallAfterObservation": [
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        "-38/35"
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      "uninformedRecipientPolicy": "FOLD; payoff0"
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          "New p = 0.5*(5/14)+0.1*(9/14) = 17/70 ≈ 0.243 < 1/3. B FOLDS."
        ],
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        "evidenceSpans": [
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            "start": 6212,
            "end": 6271
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            "quote": "New p = 0.5*(5/6)+0.1*(1/6) = 13/30 ≈ 0.433 > 1/3. B CALLS.",
            "start": 6391,
            "end": 6450
          },
          {
            "quote": "New p = 0.5*(5/14)+0.1*(9/14) = 17/70 ≈ 0.243 < 1/3. B FOLDS.",
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            "end": 6626
          }
        ]
      },
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        ],
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          "Result: CALL gives 0.16, FOLD gives 0."
        ],
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        "evidenceSpans": [
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            "end": 6716
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            "start": 5694,
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          }
        ]
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    },
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      "note": "request",
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      "personalCost": "1/5",
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        ]
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        ],
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            "start": 2612,
            "end": 2709
          },
          {
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          }
        ]
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          "So B's expected payoff given FOLD from A is 0."
        ],
        "rationale": "Claims benefit 2.0 rather than 0.36.",
        "evidenceSpans": [
          {
            "quote": "B's expected payoff given A's CALL = P(B)*6 + P(NB)*(2/7) = 0.3 * 6 + 0.7 * (2/7) = 1.8 + 0.2 = 2.0.",
            "start": 2757,
            "end": 2857
          },
          {
            "quote": "So B's expected payoff given FOLD from A is 0.",
            "start": 1362,
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          }
        ]
      },
      "d5_comparison": {
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          "Total A+B = -0.2 + 2.0 = 1.8.",
          "CALL yields 1.8.\nFOLD yields 0."
        ],
        "rationale": "Consistent arithmetic uses incorrect recipient benefit; oracle net is 0.16.",
        "evidenceSpans": [
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            "end": 4471
          },
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            "start": 3186,
            "end": 3217
          }
        ]
      }
    },
    "reportedValues": {
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      "recipientBenefit": 2.0,
      "assignedContribution": 2.0,
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    },
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      }
    ],
    "incidentalIssues": [
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    ],
    "positionScope": "concluding_retained_text",
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        ],
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        ]
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      "d4_benefit": {
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          "So A Calling generates +0.36 expected chips for B.",
          "Does this help A or C?\n   No."
        ],
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            "start": 20787,
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        ]
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        ]
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