Consistent Rationalizability

Walter Bossert, Yves Sprumont () and Kotaro Suzumura

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

Abstract: Consistency of a binary relation requires any preference cycle to involve indifference only. As shown by Suzumura (1976b), consistency is necessary and sufficient for the existence of an ordering extension of a relation. Because of this important role of consistency, it is of interest to examine the rationalizability of choice functions by means of consistent relations. We describe the logical relationships between the different notions of rationalizability obtained if reflexivity or completeness are added to consistency, both for greatest-element rationalizability and for maximal-element rationalizability. All but one notion of consistent rationalizability are characterized for general domains, and all of them are characterized for domains that contain all two-element subsets of the universal set.

Keywords: rational choice; consistency; binary domains (search for similar items in EconPapers)
Pages: 16 pages
Date: 2002
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Citations: View citations in EconPapers (22)

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Working Paper: Consistent Rationalizability (2002)
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montde:2002-12

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