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    The failure of invariance under arbitrary refinement does... — Carmelics
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    Challenges→The invariance property of strict dominance under additional information does not hold for weak dominance.

    The failure of invariance under arbitrary refinement does not negate invariance under epistemically relevant refinements such as correlated equilibrium supports.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Epistemically relevant refinements reflect actual information available to agents, while arbitrary refinements introduce meaningless distinctions.
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    • 2.Correlated equilibrium supports model realistic coordination mechanisms that agents can actually learn and implement through observation.
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    • 3.Invariance principles should apply only to refinements that preserve the decision-theoretic structure agents actually face.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Distinguishing 'epistemically relevant' from 'arbitrary' refinements requires prior theory about what counts as relevant—begging the question.
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    • 2.If invariance fails under some refinements but not others, the concept lacks the objectivity and universality that makes invariance principles valuable.
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    • 3.Correlated equilibrium itself depends on which refinements we allow, making selectivity about refinements question-begging rather than foundational.
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    Truth & Knowledge1 linkedModality & Possibility1 linked

    Related

    Correlated equilibrium itself depends on which refinements we allow, making sele...Correlated equilibrium supports model realistic coordination mechanisms that age...Distinguishing 'epistemically relevant' from 'arbitrary' refinements requires pr...Epistemically relevant refinements reflect actual information available to agent...
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    If invariance fails under some refinements but not others, the concept lacks the...Invariance principles should apply only to refinements that preserve the decisio...The invariance property of strict dominance under additional information does no...

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