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    Home/Original/inverse
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    Inverse View

    It is not the case that Knowledge games with universal goals have equilibria in pure strategies.

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Preserving truth under submodel transitions does not guarantee equilibrium existence, since equilibria require strategic best-response consistency, not merely semantic monotonicity.
      ?

      Think about whether this reason is strong or weak

    • 2.Aumann's agreement theorem shows that common knowledge constraints can prevent agents from coordinating on pure strategies even when goal conditions are universally preserved.
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 2
    ?
    • 1.Universal goal formulas can include disjunctions over knowledge operators, creating indeterminacy in agent preference rankings across epistemic states that precludes pure strategy equilibria.
      ?

      Think about whether this reason is strong or weak

    • 2.Hintikka's game-theoretic semantics demonstrates that disjunctive epistemic goals shift strategic choice to a verifier-falsifier structure where pure strategy solutions systematically collapse under imperfect information.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Universal goal statements are constructed from literals using only conjunction, disjunction, knowledge operators, and dynamic modalities with universal announcements.
      ?

      Think about whether this reason is strong or weak

    • 2.Truth of universal formulas is preserved when transitioning from a model to a submodel.
      ?

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    • 3.Because truth is preserved under submodel transitions, epistemic uncertainty becomes less harmful for universal goals.
      ?

      Think about whether this reason is strong or weak

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