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A Simple Modal Logic for Belief Revision

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Author Info
Bonanno, Giacomo (U of California, Davis)

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Abstract

We propose a modal logic based on three operators, representing initial 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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Paper provided by University of California at Davis, Department of Economics in its series Working Papers with number 05-17.

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Date of creation: Mar 2005
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Handle: RePEc:ecl:ucdeco:05-17

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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. [Downloadable!] (restricted)
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  2. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July. [Downloadable!] (restricted)
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  1. Bonanno, Giacomo, 2005. "Temporal Interaction of Information and Belief," Working Papers 05-41, University of California at Davis, Department of Economics. [Downloadable!]
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This page was last updated on 2009-12-2.

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