Belief change in branching time: AGM-consistency and iterated revision
AbstractWe study belief change branching-time structures. First, we identify a property of branching-time frames that is equivalent to AGM-consistency, which is defined as follows. A frame is AGM-consistent if the partial belief revision function associated with an arbitrary state-instant pair and an arbitrary model based on that frame can be extended to a full belief revision function that satisfies the AGM postulates. Second, we provide a set of modal axioms that characterize the class of AGM-consistent frames within the modal logic introduced in [Bonanno, Axiomatic characterization of the AGM theory of belief revision in a temporal logic, Artificial Intelligence, 2007]. Third, we introduce a generalization of AGM belief revision functions that allows a clear statement of principles of iterated belief revision and discuss iterated revision both semantically and syntactically.
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Bibliographic InfoPaper provided by University of California, Davis, Department of Economics in its series Working Papers with number 101.
Date of creation: 13 Jan 2010
Date of revision:
iterated belief revision; branching time; information; belief; modal logic; AGM belief revision;
Other versions of this item:
- Bonanno, Giacomo, 2010. "Belief Change in Branching Time: AGM-Consistency and Iterated Revision," Working Papers 10-1, University of California at Davis, Department of Economics.
- C0 - Mathematical and Quantitative Methods - - General
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, 1999. "Editors' note," Research in Economics, Elsevier, vol. 53(3), pages 243-246, September.
- Bonanno, Giacomo, 2006.
"Axiomatization of the AGM Theory of Belief Revision in a Temporal Logic,"
06-17, University of California at Davis, Department of Economics.
- Giacomo Bonanno, 2006. "Axiomatization of the AGM theory of belief revision in a temporal logic," Working Papers 617, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2011.
"Reasoning about strategies and rational play in dynamic games,"
1111, University of California, Davis, Department of Economics.
- Bonanno, Giacomo, 2011. "Reasoning about Strategies and Rational Play in Dynamic Games," Working Papers 11-11, University of California at Davis, Department of Economics.
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