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Quasi-transitive and Suzumura consistent relations

机译:准传递与铃村一致的关系

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摘要

We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, in conjunction with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is weaker than transitivity but in the case of collective choice rules that satisfy further properties, this conjunction 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, and standard social choice axioms are satisfied.
机译:我们检查与准传递性和铃村一致性相辅相成的二元关系的性质,因为它们与原始公理一起等同于传递性。一般而言,准及物性和铃村一致性的结合性不及及物性,但是在满足其他性质的集体选择规则的情况下,这种结合性暗示了社会关系的可及性。我们通过将帕累托规则定性为唯一的集体选择规则,证明该观察结果,从而使集体偏好关系是准传递性和铃村村是一致的,并且满足标准的社会选择公理。

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  • 来源
    《Social Choice and Welfare》 |2012年第3期|323-334|共12页
  • 作者单位

    Department of Economics and CIREQ University of Montreal P.O. Box 6128 Station Downtown Montreal QC H3C 3J7 Canada;

    School of Political Science and Economics Waseda University 1-6-1 Nishi-Waseda Shinjuku-ku Tokyo 169-8050 Japan;

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