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A Characterization of Egalitarian Equivalence

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  • Dutta, Bhaskar
  • Vohra, Rajiv

Abstract

Consider a solution (an allocation rule) for an economy which satisfies the following criteria: (1) Pareto efficiency, (2) monotonicity, in the sense that if the set of attainable allocations of the economy becomes larger then the solution makes no consumer worse-off, (3) a weak and primitive notion of fairness with respect to some commodity, say commodity h, in the sense that in an exchange economy in which the aggregate endowment consists only of commodity h, the solution is equal division. We show that in the class of economies which includes non-convex technologies the only such solution is egalitarian equivalence with respect to commodity h. It is also shown that this characterization of egalitarian equivalence holds in convex exchange economies if we add a weak version of a positive association requirement.

Suggested Citation

  • Dutta, Bhaskar & Vohra, Rajiv, 1993. "A Characterization of Egalitarian Equivalence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 465-479, July.
  • Handle: RePEc:spr:joecth:v:3:y:1993:i:3:p:465-79
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    Cited by:

    1. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
    2. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
    3. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2014. "Egalitarian equivalence and strategyproofness in the queueing problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 425-442, June.

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