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    The fugitive in the river-crossing game cannot rely on a ... — Carmelics
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    The fugitive in the river-crossing game cannot rely on a pure strategy to escape the pursuer.

    Modality & PossibilityTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.If the fugitive's reasoning selects a particular bridge as optimal, the pursuer can duplicate that reasoning.
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    • 2.The fugitive can escape only if the pursuer cannot reliably predict which bridge the fugitive will use.
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    • 3.Symmetry of logical reasoning power between the two players means the pursuer can replicate any deterministic reasoning the fugitive uses.
      ?

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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Asymmetric information or cognitive limitations can break the symmetry of reasoning that P3 assumes, allowing deterministic advantage.
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    • 2.Newcomb's problem (Nozick 1969) shows that causal asymmetry between agents can make one agent's reasoning epistemically inaccessible to another.
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    • 3.If the pursuer cannot causally influence the fugitive's already-completed choice, backward induction reasoning may favor a pure strategy for the fugitive.
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    Reason against 2 of 2
    ?
    • 1.Wittgenstein's rule-following considerations suggest no algorithm guarantees another agent interprets or replicates your reasoning identically.
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    • 2.If the pursuer's duplication of reasoning is itself uncertain, a pure strategy chosen via opaque or idiosyncratic reasoning may be unpredictable in practice.
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    Modality & PossibilityTruth & Knowledge

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    Free Will & Foreknowledge3 linked

    Related

    Asymmetric information or cognitive limitations can break the symmetry of reason...If the fugitive's reasoning selects a particular bridge as optimal, the pursuer ...If the pursuer cannot causally influence the fugitive's already-completed choice...If the pursuer's duplication of reasoning is itself uncertain, a pure strategy c...
    +4 moreShow less
    Newcomb's problem (Nozick 1969) shows that causal asymmetry between agents can m...Symmetry of logical reasoning power between the two players means the pursuer ca...The fugitive can escape only if the pursuer cannot reliably predict which bridge...Wittgenstein's rule-following considerations suggest no algorithm guarantees ano...

    Similar

    The fugitive can escape only if the pursuer cannot reliably predict wh...84%Whatever reasoning the fugitive uses to select a bridge, the pursuer—b...79%The fugitive must choose the bridge the pursuer least expects.79%If the fugitive's reasoning selects a particular bridge as optimal, th...78%

    Source

    AI-extracted1/3 agreementValid
    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
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit