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    The pursuer can only cover one bridge at a time. — 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.

    The pursuer can only cover one bridge at a time.

    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's choice cannot affect the distribution of the fugitive's randomized...There are three bridges and the fugitive selects one uniformly at random.

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    The fugitive must choose the bridge the pursuer least expects.80%The fugitive can escape only if the pursuer cannot reliably predict wh...78%Choosing a bridge the pursuer expects raises the probability of death ...75%Randomizing over the three bridges fixes the fugitive's survival proba...74%

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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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