A simple modal logic for belief revision
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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- 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.
- 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.
- Giacomo Bonanno & Pierpaolo Battigalli, 2003. "Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory," Working Papers 9814, University of California, Davis, Department of Economics.
- Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
- Board, Oliver, 2004.
"Dynamic interactive epistemology,"
Games and Economic Behavior,
Elsevier, vol. 49(1), pages 49-80, October.
- Giacomo Bonanno & Pierpaolo Battigalli, 2004.
"The Logic Of Belief Persistency,"
9518, University of California, Davis, Department of Economics.
- E. Ray Canterbery, 1984. "Introduction," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 7(1), pages 4-6, October.
- 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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