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Fair Collective Choice Rules: Their Origin And Relationship

Author

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  • Yukihiro Nishimura

    (Yokohama National University and Queen's University)

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

  • Yukihiro Nishimura, 2008. "Fair Collective Choice Rules: Their Origin And Relationship," Working Paper 1179, Economics Department, Queen's University.
    • Handle: RePEc:qed:wpaper:1179
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    File URL: https://www.econ.queensu.ca/sites/econ.queensu.ca/files/qed_wp_1179.pdf
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    References listed on IDEAS

    as
    1. repec:bla:econom:v:47:y:1980:i:186:p:125-39 is not listed on IDEAS
    2. Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, vol. 64(6), pages 995-1005, December.
    3. 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.
    4. Elisha A. Pazner & David Schmeidler, 1974. "A Difficulty in the Concept of Fairness," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 441-443.
    5. Tadenuma, Koichi & 蓼沼, 宏一, 2007. "Choice-Consistent Resolutions of the Efficiency-Equity Trade-Off," Discussion Papers 2007-09, Graduate School of Economics, Hitotsubashi University.
    6. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
    7. Goldman, Steven M. & Sussangkarn, Chal, 1978. "On the concept of fairness," Journal of Economic Theory, Elsevier, vol. 19(1), pages 210-216, October.
    8. Suzumura, Kotaro, 1981. "On the Possibility of "Fair" Collective Choice Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 351-364, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Welfare Economics; Social Choice; Efficiency; Equity; No-Envy;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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