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MAXIMAL-ELEMENT RATIONALIZABILITY

Walter Bossert, Yves Sprumont () and Kotaro Suzumura

Cahiers de recherche from Centre interuniversitaire de recherche en économie quantitative, CIREQ

Abstract: We examine the maximal-element rationalizability of choice functions with arbitrary domains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier literature, 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 rationalizability by itself, and for maximal-element rationalizability in conjunction with additional properties of a rationalizing relation such as reflexivity, completeness, P-acyclicity, quasi-transitivity, consistency and transitivity.

Keywords: choice functions; maximal-element rationalizability (search for similar items in EconPapers)
Pages: 19 pages
Date: 2002
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Related works:
Journal Article: Maximal-Element Rationalizability (2005) Downloads
Working Paper: Maximal-Element Rationalizability (2002) Downloads
Working Paper: Maximal-Element Rationalizability (2002) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montec:16-2002

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