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Belief change in branching time: AGM-consistency and iterated revision

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  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

We 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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File URL: http://wp.econ.ucdavis.edu/10-1.pdf
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Bibliographic Info

Paper provided by University of California, Davis, Department of Economics in its series Working Papers with number 101.

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Length: 34
Date of creation: 13 Jan 2010
Date of revision:
Handle: RePEc:cda:wpaper:10-1

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Related research

Keywords: iterated belief revision; branching time; information; belief; modal logic; AGM belief revision;

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  1. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Editors' note," Research in Economics, Elsevier, vol. 53(3), pages 243-246, September.
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