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Rational Dynamics And Epistemic Logic In Games

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  • JOHAN VAN BENTHEM

    ()
    (Institute for Logic, Language and Computation (ILLC), University of Amsterdam, Plantage Muidergracht 24, 1018 TV AMSTERDAM, Netherlands)

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    Abstract

    Game-theoretic solution concepts describe sets of strategy profiles that are optimal for all players in some plausible sense. Such sets are often found by recursive algorithms like iterated removal of strictly dominated strategies in strategic games, or backward induction in extensive games. Standard logical analyses of solution sets use assumptions about players in fixed epistemic models for a given game, such as mutual knowledge of rationality. In this paper, we propose a different perspective, analyzing solution algorithms as processes of learning which change game models. Thus, strategic equilibrium gets linked to fixed-points of operations of repeated announcement of suitable epistemic statements. This dynamic stance provides a new look at the current interface of games, logic, and computation.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

    Volume (Year): 09 (2007)
    Issue (Month): 01 ()
    Pages: 13-45

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    Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:01:p:13-45

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    Related research

    Keywords: Epistemic logic; dynamic logic; public announcement; rationality;

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