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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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:
- 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.:
- Board, Oliver, 2004.
"Dynamic interactive epistemology,"
Games and Economic Behavior,
Elsevier, vol. 49(1), pages 49-80, October.
- 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 & 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.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Scott Dyer).
If references are entirely missing, you can add them using this form.