Fair Collective Choice Rules: Their Origin and Relationship
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.
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- Panzer, Elisha A & Schmeidler, David, 1974. "A Difficulty in the Concept of Fairness," Review of Economic Studies, Wiley Blackwell, vol. 41(3), pages 441-43, July.
- Goldman, Steven M. & Sussangkarn, Chal, 1978. "On the concept of fairness," Journal of Economic Theory, Elsevier, vol. 19(1), pages 210-216, October.
- Tadenuma, Koichi, 1998.
"Efficiency First or Equity First?: Two Principles and Rationality of Social Choice,"
1998-01, Graduate School of Economics, Hitotsubashi University.
- 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.
- Tadenuma, Koichi, 2002.
"Egalitarian-Equivalence and the Pareto Principle for Social Preferences,"
128, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Koichi Tadenuma, 2005. "Egalitarian-equivalence and the Pareto principle for social preferences," Social Choice and Welfare, Springer, vol. 24(3), pages 455-473, 06.
- Tadenuma, Koichi, 2002. "Egalitarian-Equivalence and the Pareto Principle for Social Preferences," Discussion Papers 2002-08, Graduate School of Economics, Hitotsubashi University.
- 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 351-64, June.
- Tadenuma, Koichi, 2007. "Choice-Consistent Resolutions of the Efficiency-Equity Trade-Off," Discussion Papers 2007-09, Graduate School of Economics, Hitotsubashi University.
- Suzumura, Kotaro, 1980. "On Distributional Value Judgments and Piecemeal Welfare Criteria," Economica, London School of Economics and Political Science, vol. 47(186), pages 125-39, May.
- Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, vol. 64(6), pages 995-1005, December.
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