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    Strong rationality is a more demanding condition than wea... — Carmelics
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    Home/Modality & Possibility
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    Strong rationality is a more demanding condition than weak rationality.

    Modality & Possibility
    ?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.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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    Reasons Against

    2 perspectives
    Reason against 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 against 2 of 2
    ?
    • 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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    Related

    A condition that adds no new behavioral constraints under its own presupposed ep...A condition whose additional demandingness is procedurally contingent rather tha...Bernheim (1984) and Pearce (1984) show that iterated elimination of dominated st...If strong rationality's additional eliminations are order-dependent, the extra c...
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    If the epistemic conditions sufficient for weak rationality already entail commo...In the given game matrix, announcing weak rationality stops after the first step...Strong rationality implies weak rationality, but there can be moves that satisfy...The row player's bottom action is not best under any possible circumstance, whic...Weak and strong rationality are extensionally equivalent when common knowledge o...

    Similar

    Strong rationality implies weak rationality, but there can be moves th...90%The barebones theory of rationality (completeness + transitivity + bes...84%Bounded rationality can be understood as optimization under constraint...84%The concept of rationality does not simply consist in one's conception...83%

    Source

    AI-extracted1/3 agreementValid
    SEP: logics-for-games
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    Strong rationality is a more demanding condition than weak rationality. While SR implies WR, there can be moves that satisfy weak but not strong rationality. This shows in the following difference between the current and the previous example. In the present matrix, announcing Weak Rationality stops after the first step elimination of action c. The reason is that, in the second matrix, the row player’s bottom move is not strictly dominated by any other action, so this row remains after re-announc
    Extraction notes

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

    Details

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