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    Under Levi's and Walley's imprecise probability framework... — Carmelics
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    Challenges→A strategy that is not strictly dominated need not be admissible

    Under Levi's and Walley's imprecise probability frameworks, a strategy counts as admissible when it is a best response to some measure within a credal set, dissolving the strict full-support requirement in P2.

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    Key Terms

    Admissible strategy(game theory and decision-making)
    A choice that is worth considering because there's no other option that is always better than it.
    Credal set(as the group of probability measures being considered)
    A collection of different probability assignments that someone might accept as reasonable; it captures a range of possible beliefs rather than one single belief.
    Full-support requirement(as a requirement being relaxed or dissolved)
    A strict rule demanding that you assign some positive probability (however tiny) to every possible outcome; basically, you can't completely rule anything out.
    Levi, Isaac(as a developer of imprecise probability frameworks)
    A 20th-century philosopher who developed theories about how people make decisions when they don't have complete information or certainty.

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    P2(Provides the truth conditions for proposition (7), identified as proposition (7): George Bush does not exist.)
    The principle that proposition (7) is true if and only if George Bush does not exist — a modalized instance of the Tarski truth-schema 's is true iff s'.
    Walley, Peter(as a developer of imprecise probability frameworks)
    A statistician and philosopher who created mathematical methods for dealing with situations where you can't pin down exact probabilities.
    best response(Implicit in the definition of strict domination)
    A strategy s_i is a best response with respect to a probability measure p over opponent strategies if it maximizes the player's expected utility given p.
    imprecise probability(failure conditions for the unique fair price presupposition)
    A state in which a person's probability for an event E is not a single sharp value, resulting in a selling price that differs from the buying price or a range of acceptable fair prices rather than exactly one

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    A strategy that is not strictly dominated need not be admissible

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