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    A solution concept that reverses its recommendations unde... — Carmelics
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    Supports→Deleting weakly dominated strategies just like strictly dominated strategies has odd consequences

    A solution concept that reverses its recommendations under arbitrarily small payoff changes cannot track the modal facts about what players would rationally do, violating Lewis's constraint on counterfactual stability.

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    Key Terms

    Counterfactual stability(logic and decision theory)
    The requirement that a rule or theory should give consistent predictions when we imagine small changes to the situation.
    David Lewis(the philosopher who created this theory)
    An influential American philosopher (1941-2001) who developed Counterpart Theory as a way to understand how we talk about objects in different possible worlds.
    Lewis's constraint(philosophy of language and metaphysics)
    A rule proposed by philosopher David Lewis about how our explanations of 'what would happen if' should stay consistent with real-world facts.
    Modal facts(as what supervene on counterpart relations)
    Facts about what is possible, necessary, or could have been different—basically, facts about how things could be other than they actually are.

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    Rationally(decision theory)
    In a way that makes sense based on clear thinking and someone's own goals and beliefs.
    payoff(game theory)
    The outcome value assigned to each player for a given combination of strategies, displayed in cells of the game matrix
    solution concept(Game theory)
    A characterization of how a strategic game is 'solved'; Nash equilibrium is sometimes called a solution concept because it identifies the steady states of strategic interaction

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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