Maximal-Element Rationalizability

Walter Bossert, Yves Sprumont () and Kotaro Suzumura

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

Abstract: We examine the maximal-element rationalizability of choice functions with arbitrary do-mains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier litera-ture, this is not the case for maximal-element rationalizability, except when it coincides with greatest-element rationalizability because of properties imposed on the rationalizing relation. We develop necessary and sufficient conditions for maximal-element rationaliz-ability by itself, and for maximal-element rationalizability in conjunction with additional properties of a rationalizing relation such as re exivity, completeness, P-acyclicity, quasi-transitivity, consistency and transitivity.

Keywords: Choice Functions; Maximal-Element Rationalizability. (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
Pages: 19 ges pages
Date: 2002
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Related works:
Journal Article: Maximal-Element Rationalizability (2005)
Working Paper: Maximal-Element Rationalizability (2002)
Working Paper: MAXIMAL-ELEMENT RATIONALIZABILITY (2002)
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montde:2002-16

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