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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that A player should use a mixed strategy when no pure strategy maximizes the player's utility against all opponent strategies.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Rational agents require reasons for action, and a randomizing device provides no reason to prefer one action over another.
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    • 2.A strategy chosen by deliberate randomization is not chosen by rational deliberation, undermining the normative force of 'should'.
      ?

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    • 3.Agents who act on reasons cannot coherently delegate choice to a lottery without abandoning the very rationality game theory presupposes.
      ?

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    Reason for 2 of 2
    ?
    • 1.Mixed strategy equilibria assume opponents know your mixing probabilities, but this epistemic condition rarely holds in real strategic interaction.
      ?

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    • 2.Without the mutual knowledge assumption, the mixed strategy prescription collapses into a claim about populations, not individual rational agents.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.A pure strategy seeks a single optimal course of action at each node as a best reply to others' actions.
      ?

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    • 2.A mixed strategy involves probabilistically selecting among several possible actions.
      ?

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    • 3.When no pure strategy maximizes utility against all opponent strategies, mixing is required to optimize utility.
      ?

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