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A simple modal logic for belief revision

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  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

We propose a modal logic based on three operators, representing intialbeliefs, information and revised beliefs. Three simple axioms are usedto provide a sound and complete axiomatization of the qualitative partof Bayes? rule. Some theorems of this logic are derived concerning theinteraction between current beliefs and future beliefs. Information flowsand iterated revision are also discussed

Suggested Citation

  • Giacomo Bonanno, 2005. "A simple modal logic for belief revision," Working Papers 311, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:311
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    References listed on IDEAS

    as
    1. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
    2. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    3. Battigalli, Pierpaolo & Bonanno, Giacomo, 1997. "The Logic of Belief Persistence," Economics and Philosophy, Cambridge University Press, vol. 13(1), pages 39-59, April.
    4. Board, Oliver, 2004. "Dynamic interactive epistemology," Games and Economic Behavior, Elsevier, vol. 49(1), pages 49-80, October.
    5. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
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    Citations

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    Cited by:

    1. Giacomo Bonanno, 2005. "Temporal interaction of information and belief," Working Papers 541, University of California, Davis, Department of Economics.
    2. Billot, Antoine & Vergnaud, Jean-Christophe & Walliser, Bernard, 2015. "Multiagent belief revision," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 47-57.
    3. Giacomo Bonanno, 2007. "Four Logics for Minimal Belief Revision," Working Papers 209, University of California, Davis, Department of Economics.
    4. Giacomo Bonanno, 2006. "Axiomatization of the AGM theory of belief revision in a temporal logic," Working Papers 254, University of California, Davis, Department of Economics.
    5. Antoine Billot & Jean-Christophe Vergnaud & Bernard Walliser, 2008. "Multiplayer belief revision," Post-Print halshs-00344461, HAL.
    6. Giacomo Bonanno, 2005. "Temporal interaction of information and belief," Working Papers 141, University of California, Davis, Department of Economics.
    7. Giacomo Bonanno, 2007. "Four Logics for Minimal Belief Revision," Working Papers 76, University of California, Davis, Department of Economics.

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    More about this item

    Keywords

    model logic; beliefs;

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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