Rationalizability of Choice Functions on General Domains Without Full Transitivity

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

No 28, Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University

Abstract: The rationalizability of a choice function by means of a transitive relation has been analyzed thoroughly in the literature. However, not much seems to be known when transitivity is weakened to quasi-transitivity or acyclicity. We describe the logical relationships between the different notions of rationalizability involving, for example, the transitivity, quasi-transitivity, or acyclicity of the rationalizing relation. Furthermore, we discuss sufficient conditions and necessary conditions for rational choice on arbitrary domains. Transitive, quasi-transitive, and acyclical rationalizability are fully characterized for domains that contain all singletons and all two-element subsets of the universal set.

Keywords: Rational Choice; Quasi-Transitivity; Acyclicity; Base Domains (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
Pages: 29 pages
Date: 2001-05
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Citations: View citations in EconPapers (2)

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Related works:
Journal Article: Rationalizability of choice functions on general domains without full transitivity (2006)
Working Paper: Rationalizability of Choice Functions on General Domains without Full Transitivity (2001)
Working Paper: Rationalizability of Choice Functions on General Domains without Full Transitivity (2001)
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Persistent link: https://EconPapers.repec.org/RePEc:hit:piedp1:28

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