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    The pursuer's choice cannot affect the distribution of th... — Carmelics
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    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's choice cannot affect the distribution of the fugitive's randomized selection once committed.

    Free Will & ForeknowledgeModality & Possibility
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    Modality & PossibilityFree Will & Foreknowledge

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

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    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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