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Games in Dynamic-Epistemic Logic

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  • van Benthem, Johan

Abstract

The author discusses games of both perfect and imperfect information at two levels of structural detail: players' local actions, and their global powers for determining outcomes of the game. Matching logical languages are proposed for both. In particular, at the "action level", imperfect information games naturally model a combined "dynamic-epistemic language"--and correspondences are found between special axioms in this language and particular modes of playing games with their information dynamics. At the "outcome level", the paper presents suitable notions of game equivalence, and some simple representation results. Copyright 2001 by Blackwell Publishing Ltd and the Board of Trustees of the Bulletin of Economic Research

Suggested Citation

  • van Benthem, Johan, 2001. "Games in Dynamic-Epistemic Logic," Bulletin of Economic Research, Wiley Blackwell, vol. 53(4), pages 219-248, October.
    • Handle: RePEc:bla:buecrs:v:53:y:2001:i:4:p:219-48
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    Citations

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    Cited by:

    1. Johan Van Benthem & Eric Pacuit & Olivier Roy, 2011. "Toward a Theory of Play: A Logical Perspective on Games and Interaction," Games, MDPI, vol. 2(1), pages 1-35, February.
    2. Giacomo Bonanno & Cédric Dégremont, 2013. "Logic and Game Theory," Working Papers 134, University of California, Davis, Department of Economics.
    3. Giacomo Bonanno & Cédric Dégremont, 2013. "Logic and Game Theory," Working Papers 11, University of California, Davis, Department of Economics.
    4. Bonanno, Giacomo, 2004. "Memory and perfect recall in extensive games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 237-256, May.
    5. Piter Dykstra & Corinna Elsenbroich & Wander Jager & Gerard Renardel de Lavalette & Rineke Verbrugge, 2013. "Put Your Money Where Your Mouth Is: DIAL, A Dialogical Model for Opinion Dynamics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 16(3), pages 1-4.
    6. Bonanno, Giacomo, 2003. "A syntactic characterization of perfect recall in extensive games," Research in Economics, Elsevier, vol. 57(3), pages 201-217, September.
    7. Jakob Dirk Top & Rineke Verbrugge & Sujata Ghosh, 2018. "An Automated Method for Building Cognitive Models for Turn-Based Games from a Strategy Logic," Games, MDPI, vol. 9(3), pages 1-28, July.

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