A simple modal logic for belief revision
We propose a logic based on three modal operators, representing intial beliefs, information and revised beliefs. Three simple and transparent 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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- 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.
- Pierpaolo Battigali & Giacomo Bonanno, . "Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory," Department of Economics 98-14, California Davis - Department of Economics.
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"The Logic of Belief Persistence,"
Economics and Philosophy,
Cambridge University Press, vol. 13(01), pages 39-59, April.
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- Oliver Board, 2002.
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Economics Series Working Papers
125, University of Oxford, Department of Economics.
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