Rational Choice on Arbitrary Domains: A Comprehensive Treatment

Walter Bossert () and Kotaro Suzumura ()

Cahiers de recherche from Universite de Montreal, Departement de sciences economiques

Abstract: The rationalizability of a choice function on arbitrary domains by means of a transitive relation has been analyzed thoroughly in the literature. Moreover, characterizations of various versions of consistent rationalizability have appeared in recent contributions. However, not much seems to be known when the coherence property of quasi-transitivity or that of P-acyclicity is imposed on a rationalization. The purpose of this paper is to fill this significant gap. We provide characterizations of all forms of rationalizability involving quasi-transitive or P-acyclical rationalizations on arbitrary domains.

Keywords: Rational Choice; Quasi-Transitivity; P-Acyclicity (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-dcm
Date: 2005
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