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Maximal-Element Rationalizability

Walter Bossert, Yves Sprumont () and Kotaro Suzumura

Theory and Decision, 2005, vol. 58, issue 4, 325-350

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. Copyright Springer 2005

Keywords: choice functions; maximal-element rationalizability; D11 (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (5)

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Working Paper: Maximal-Element Rationalizability (2002) Downloads
Working Paper: Maximal-Element Rationalizability (2002) Downloads
Working Paper: MAXIMAL-ELEMENT RATIONALIZABILITY (2002) Downloads
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DOI: 10.1007/s11238-005-6849-x

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