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A simple modal logic for belief revision


  • Giacomo Bonanno

    (Department of Economics, University of California Davis)


We propose a modal logic based on three operators, representing intial beliefs, information and revised beliefs. Three simple axioms are used to provide a sound and complete axiomatization of the qualitative part of Bayes? rule. Some theorems of this logic are derived concerning the interaction between current beliefs and future beliefs. Information flows and iterated revision are also discussed

Suggested Citation

  • Giacomo Bonanno, 2005. "A simple modal logic for belief revision," Working Papers 517, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:05-17

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    References listed on IDEAS

    1. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    2. Board, Oliver, 2004. "Dynamic interactive epistemology," Games and Economic Behavior, Elsevier, vol. 49(1), pages 49-80, October.
    3. Battigalli, Pierpaolo & Bonanno, Giacomo, 1997. "The Logic of Belief Persistence," Economics and Philosophy, Cambridge University Press, vol. 13(01), pages 39-59, April.
    4. E. Ray Canterbery, 1984. "Introduction," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 7(1), pages 4-6, October.
    5. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
    6. 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.
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    Cited by:

    1. Billot, Antoine & Vergnaud, Jean-Christophe & Walliser, Bernard, 2015. "Multiagent belief revision," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 47-57.

    More about this item


    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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