Filtered belief revision and generalized choice structures

Giacomo Bonanno ()

No 338, Working Papers from University of California, Davis, Department of Economics

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.

Keywords: credible information; allowable information; AGM belief revision; choice structure (search for similar items in EconPapers)
JEL-codes: D80 (search for similar items in EconPapers)
Pages: 29
Date: 2020-02-26
New Economics Papers: this item is included in nep-hpe and nep-ore
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