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    There are three bridges and the fugitive selects one unif... — Carmelics
    Home/Modality & Possibility
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    Supports→Randomizing over the three bridges fixes the fugitive's survival probability at 2/3 regardless of the pursuer's strategy.

    There are three bridges and the fugitive selects one uniformly at random.

    ConsequentialismModality & Possibility
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    Modality & PossibilityConsequentialism

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    Related propositions within the same area of thought.
    Randomizing over the three bridges fixes the fugitive's survival probability at ...The pursuer can only cover one bridge at a time.The pursuer's choice cannot affect the distribution of the fugitive's randomized...

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    The fugitive's best course of action is to randomize bridge selection ...84%Randomizing over the three bridges fixes the fugitive's survival proba...82%The fugitive must choose the bridge the pursuer least expects.81%Each bridge represents a lottery over the fugitive's possible outcomes...80%

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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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