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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 Elimination of weakly dominated strategies and correlation are distinct refinements of Nash Equilibrium that favor different solutions

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Weak dominance elimination is order-dependent: different elimination sequences can yield different surviving strategy sets, undermining its status as a principled refinement.
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    • 2.If the refinement procedure lacks a unique outcome, it cannot coherently 'favor' a solution in contrast to correlation, since its recommendation is itself indeterminate.
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    Reason for 2 of 2
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    • 1.Correlated equilibrium subsumes Nash equilibrium as a special case, making correlation an extension rather than a refinement in the technical sense Aumann (1987) establishes.
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    • 2.A procedure that expands the solution set beyond Nash equilibria cannot be categorized as a refinement alongside weak dominance elimination, which strictly reduces the solution set.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Elimination of weakly dominated strategies refines away the NE s2-t1
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    • 2.Correlation refines away the NE s1-t2
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