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    Carmelics

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Strong rationality is a more demanding condition than weak rationality.

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Weak and strong rationality are extensionally equivalent when common knowledge of rationality is assumed, as Aumann (1987) demonstrates for correlated equilibrium.
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    • 2.If the epistemic conditions sufficient for weak rationality already entail common knowledge, the additional eliminations attributed to strong rationality are already implicit in weak rationality's closure conditions.
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    • 3.A condition that adds no new behavioral constraints under its own presupposed epistemic context cannot be genuinely more demanding than the weaker condition.
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    Reason for 2 of 2
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    • 1.Bernheim (1984) and Pearce (1984) show that iterated elimination of dominated strategies depends critically on the order of elimination, producing different solution sets under different orderings.
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    • 2.If strong rationality's additional eliminations are order-dependent, the extra constraints it imposes are artifacts of a chosen procedure rather than reflections of a deeper rational requirement.
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    • 3.A condition whose additional demandingness is procedurally contingent rather than intrinsic to the rationality concept cannot be established as categorically more demanding than weak rationality.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Strong rationality implies weak rationality, but there can be moves that satisfy weak rationality without satisfying strong rationality.
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    • 2.In the given game matrix, announcing weak rationality stops after the first step elimination of action c, while strong rationality eliminates additional rows.
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    • 3.The row player's bottom action is not best under any possible circumstance, which contradicts strong rationality but not weak rationality.
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