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    Universal goal formulas can include disjunctions over kno... — Carmelics
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    Challenges→Knowledge games with universal goals have equilibria in pure strategies.

    Universal goal formulas can include disjunctions over knowledge operators, creating indeterminacy in agent preference rankings across epistemic states that precludes pure strategy equilibria.

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    Key Terms

    Agent preference rankings(decision theory and game theory)
    An ordered list showing what an agent likes best, second-best, and so on—their priorities.
    Disjunctions(one type of sentence structure that creates problems for Edgington's theory)
    Sentences with an 'or' structure that present alternatives, like 'either it will rain or it will be sunny'—at least one of the options is true.
    Knowledge operators(in formal logic and epistemology)
    Logical symbols or concepts (like the word 'knows') that express or describe knowledge in formal reasoning.
    Pure strategy equilibria(game theory)
    In game theory, a stable outcome where each player picks one definite action (rather than mixing between actions), and no one benefits from changing their choice.
    Universal goal formulas

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    (game theory and decision theory)
    Mathematical or logical rules that describe what an agent (like a person or AI) is trying to achieve in all possible situations.
    epistemic states(Multiple ontological states can map to a single epistemic state)
    States represented within the model state space, which are the modeler's knowledge representations of the target system
    indeterminacy(Decision-making under uncertainty in political and legal contexts)
    Uncertainty or lack of definite knowledge afflicting one or more conditions of a decision procedure, making it impossible to fully specify choices and their outcomes
    knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
    Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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    Knowledge games with universal goals have equilibria in pure strategies.

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