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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Neither player can improve their probability given that t... — Carmelics
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    Home/Modality & Possibility
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    Supports→The pair of randomizing strategies — each player rolling a three-sided die — constitutes a Nash equilibrium.

    Neither player can improve their probability given that the other player is playing a uniform random strategy.

    ConsequentialismModality & Possibility
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    Modality & PossibilityConsequentialism

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    Related propositions within the same area of thought.
    The fugitive has a 2/3 probability of escaping and the pursuer a 1/3 probability...The pair of randomizing strategies — each player rolling a three-sided die — con...When one player randomizes uniformly, the other player is indifferent among all ...

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    When one player randomizes uniformly, the other player is indifferent ...83%If each player is playing a strategy such that neither can do better g...79%In such a type space, player 1 assigns probability 1 to player 2 playi...76%The pair of randomizing strategies — each player rolling a three-sided...76%

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    AI-extracted
    SEP: game-theory
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    Suppose that we ignore rocks and cobras for a moment, and imagine that the bridges are equally safe. Suppose also that the fugitive has no special knowledge about his pursuer that might lead him to venture a specially conjectured probability distribution over the pursuer’s available strategies. In this case, the fugitive’s best course is to roll a three-sided die, in which each side represents a different bridge (or, more conventionally, a six-sided die in which each bridge is represented by two

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