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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 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

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Bibliographic Info

Paper provided by University of California, Davis, Department of Economics in its series Working Papers with number 517.

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Length: 31
Date of creation: 01 Mar 2005
Date of revision:
Handle: RePEc:cda:wpaper:05-17

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Keywords: model logic; beliefs;

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  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. Oliver Board, 2002. "Dynamic Interactive Epistemology," Economics Series Working Papers 125, University of Oxford, Department of Economics.
  3. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, 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. Giacomo Bonanno & Pierpaolo Battigalli, 2004. "The Logic Of Belief Persistency," Working Papers 9518, University of California, Davis, Department of Economics.
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