Quasi-Transitive and Suzumura Consistent Relations

Walter Bossert and Kotaro Suzumura

Cahiers de recherche from Centre interuniversitaire de recherche en économie quantitative, CIREQ

Abstract: We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy further properties, the conjunction of quasi-transitivity and Suzumura consistency implies transitivity of the social relation. We prove this observation by characterizing the Pareto rule as the only collective choice rule such that collective preference relations are quasi-transitive and Suzumura consistent but not necessarily complete.

Keywords: Transitivity; Suzumura Consistency; Quasi-Transitivity; Pareto Rule (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 15 pages
Date: 2009
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Citations: View citations in EconPapers (1)

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Related works:
Journal Article: Quasi-transitive and Suzumura consistent relations (2012)
Working Paper: Quasi-transitive and Suzumura consistent relations (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montec:06-2009

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