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    Symmetry of logical reasoning power between the two playe... — Carmelics
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    Supports→The fugitive in the river-crossing game cannot rely on a pure strategy to escape the pursuer.

    Symmetry of logical reasoning power between the two players means the pursuer can replicate any deterministic reasoning the fugitive uses.

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    Related propositions within the same area of thought.
    If the fugitive's reasoning selects a particular bridge as optimal, the pursuer ...The fugitive can escape only if the pursuer cannot reliably predict which bridge...The fugitive in the river-crossing game cannot rely on a pure strategy to escape...

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    Both the fugitive and pursuer have symmetric logical reasoning power.88%Whatever reasoning the fugitive uses to select a bridge, the pursuer—b...83%If the fugitive's reasoning selects a particular bridge as optimal, th...82%Any reasoning process the fugitive uses to select a bridge can be dupl...81%

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    SEP: game-theory
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    The games we’ve modeled to this point have all involved players choosing from amongst pure strategies, in which each seeks a single optimal course of action at each node that constitutes a best reply to the actions of others. Often, however, a player’s utility is optimized through use of a mixed strategy, in which she flips a weighted coin amongst several possible actions. (We will see later that there is an alternative interpretation of mixing, not involving randomization at a particular inform

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