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Filtered belief revision and generalized choice structures

Author

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  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

In an earlier paper [Rational choice and AGM belief revision, Artificial Intelligence, 2009] a correspondence was established between the choice structures of revealed-preference theory (developed in economics) and the syntactic belief revision functions of the AGM theory (developed in philosophy and computer science). In this paper we extend the re-interpretation of (a generalized notion of) choice structure in terms of belief revision by adding: (1) the possibility that an item of ``information'' might be discarded as not credible (thus dropping the AGM success axiom) and (2) the possibility that an item of information, while not accepted as fully credible, may still be ``taken seriously'' (we call such items of information ``allowable''). We establish a correspondence between generalized choice structures (GCS) and AGM belief revision; furthermore, we provide a syntactic characterization of the proposed notion of belief revision, which we call filtered belief revision.

Suggested Citation

  • Giacomo Bonanno, 2020. "Filtered belief revision and generalized choice structures," Working Papers 338, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:338
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    More about this item

    Keywords

    credible information; allowable information; AGM belief revision; choice structure;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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