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Fair Collective Choice Rules: Their Origin and Relationship

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  • Nishimura, Yukihiro

Abstract

This paper provides a conceptual framework on fair collective choice rules that synthesizes the studies of Goldman and Sussangkarn (1978) and Suzumura (1981) on the one hand and Tadenuma (2002, 2005) on the other. We show that both frameworks have the following binary relation as a common origin: an allocation x is at least as good as an allocation z if (i) x Pareto dominates z, or (ii) x equity-dominates z. Its transitive-closure and the strict relation derive different ranking criteria, but remarkably, with respect to the maximal elements, they have a set-inclusive relationship.

Suggested Citation

  • Nishimura, Yukihiro, 2008. "Fair Collective Choice Rules: Their Origin and Relationship," Queen's Economics Department Working Papers 273656, Queen's University - Department of Economics.
  • Handle: RePEc:ags:quedwp:273656
    DOI: 10.22004/ag.econ.273656
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    References listed on IDEAS

    as
    1. Koichi Tadenuma, 2005. "Egalitarian-equivalence and the Pareto principle for social preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(3), pages 455-473, June.
    2. Goldman, Steven M. & Sussangkarn, Chal, 1978. "On the concept of fairness," Journal of Economic Theory, Elsevier, vol. 19(1), pages 210-216, October.
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