A simple modal logic for belief revision
AbstractWe 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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Bibliographic InfoPaper provided by University of California, Davis, Department of Economics in its series Working Papers with number 45.
Date of creation: 02 Dec 2004
Date of revision:
Bayes rule; belief revision; intertemporal beliefs;
Other versions of this item:
- Giacomo Bonanno, 2005. "A simple modal logic for belief revision," Working Papers, University of California, Davis, Department of Economics 517, University of California, Davis, Department of Economics.
- 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
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Battigalli, Pierpaolo & Bonanno, Giacomo, 1997.
"The Logic of Belief Persistence,"
Economics and Philosophy,
Cambridge University Press, vol. 13(01), pages 39-59, April.
- Giacomo Bonanno & Pierpaolo Battigalli, 2004. "The Logic Of Belief Persistency," Working Papers, University of California, Davis, Department of Economics 9518, 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.
- Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
- Oliver Board, 2002.
"Dynamic Interactive Epistemology,"
Economics Series Working Papers
125, University of Oxford, Department of Economics.
- Pierpaolo Battigali & Giacomo Bonanno, .
"Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory,"
Department of Economics, California Davis - 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, 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, University of California, Davis, Department of Economics 9814, 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.
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