Maximal-Element Rationalizability

Walter Bossert, Yves Sprumont (), Kotaro Suzumura and 興太郎 鈴村

No 124, Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University

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, quasitransitivity, 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 pages
Date: 2002-11
Note: Financial support through grants from the Social Sciences and Humanities Research Council of Canada, the Fonds pour la Formation de Chercheurs et l'Aide ? la Recherche of Qu?bec, and a Grant-in-Aid for Scientific Research for Priority Areas Number 603 from the Ministry of Education, Science and Culture of Japan is gratefully acknowledged.
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Citations: View citations in EconPapers (9)

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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:hit:piedp1:124

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