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    A's strategy prescribes O1 at the initial decision node, ... — Carmelics
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    Home/Modality & Possibility
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    Supports→B is trivially materially rational at the single state w, regardless of what B would choose at v2

    A's strategy prescribes O1 at the initial decision node, making it impossible for B to move at v2

    Modality & PossibilityTruth & Knowledge
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    Related propositions within the same area of thought.
    B is trivially materially rational at the single state w, regardless of what B w...Material rationality only requires rationality at decision nodes that are reacha...Since B's decision node v2 is unreachable given A's choice of O1, B's rationalit...

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    A strategy that prescribes O1 at v1 would prevent Player B from reachi...87%Player A cannot be following any strategy that prescribes choosing O1 ...85%Player B reaching his decision node is inconsistent with Player A havi...80%Since B's decision node v2 is unreachable given A's choice of O1, B's ...80%

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    SEP: epistemic-game
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    Recall that a strategy for a player \(i\) specifies choices at all decision nodes for \(i\), even those nodes that are impossible to reach given earlier moves prescribed by the strategy. Thus, strategies include “counterfactual” information about what players would do if they were given a chance to move at each of their decision nodes. In the single state epistemic model, \(B\) knows that \(A\) is following the strategy \(O_1I_3\). This means that \(B\) knows two things about \(A\)’s choice beha

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