Rationalizability of Choice Functions on General Domains without Full Transitivity

Walter Bossert, Yves Sprumont () and Kotaro Suzumura

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

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: C70 C71 (search for similar items in EconPapers)
Pages: 29 pages
Date: 2001
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Citations: View citations in EconPapers (3)

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http://hdl.handle.net/1866/353 (application/pdf)

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:mtl:montde:2001-13

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