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Efficient Egalitarian Equivalent Allocations over a Single Good

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Author Info
Marco LiCalzi () (Department of Applied Mathematics, University of Venice)
Antonio Nicolo () (Department of Economics, University of Padua)

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Abstract

This paper studies efficient and egalitarian allocations over a single heterogeneous and infinitely divisible good. We prove the existence of such allocations using only measure-theoretic arguments. Under the additional assumption of complete information, we identify a sufficient condition on agents' preferences that makes it possible to apply the Pazner-Schmeidler rule for uniquely selecting an efficient egalitarian equivalent allocation. Finally, we exhibit a simple procedure that implements the Pazner-Schmeidler selection in a subgame-perfect equilibrium.

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Publisher Info
Paper provided by Department of Applied Mathematics, University of Venice in its series Working Papers with number 152.

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Length: 22 pages
Date of creation: Jun 2007
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Handle: RePEc:vnm:wpaper:152

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Related research
Keywords: egalitarism; equity; fair division; implementation; no-envy.;

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Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
D30 - Microeconomics - - Distribution - - - General

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  1. Crawford, Vincent P, 1979. "A Procedure for Generating Pareto-Efficient Egalitarian-Equivalent Allocations," Econometrica, Econometric Society, vol. 47(1), pages 49-60, January. [Downloadable!] (restricted)
  2. Pazner, Elisha A & Schmeidler, David, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, MIT Press, vol. 92(4), pages 671-87, November. [Downloadable!] (restricted)
    Other versions:
  3. Akin, Ethan, 1995. "Vilfredo Pareto cuts the cake," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 23-44. [Downloadable!] (restricted)
  4. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July. [Downloadable!] (restricted)
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  5. Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216. [Downloadable!] (restricted)
  6. Miceli, Thomas J & Sirmans, C F, 2000. "Partition of Real Estate; or, Breaking Up Is (Not) Hard to Do," Journal of Legal Studies, University of Chicago Press, vol. 29(2), pages 783-96, June.
  7. Demange, Gabrielle, 1984. "Implementing Efficient Egalitarian Equivalent Allocations," Econometrica, Econometric Society, vol. 52(5), pages 1167-77, September. [Downloadable!] (restricted)
  8. Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003. "How to cut a pizza fairly: Fair division with decreasing marginal evaluations," Social Choice and Welfare, Springer, vol. 20(3), pages 457-465, 06. [Downloadable!] (restricted)
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  9. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April. [Downloadable!] (restricted)
  10. Chambers, Christopher P., 2005. "Allocation rules for land division," Journal of Economic Theory, Elsevier, vol. 121(2), pages 236-258, April. [Downloadable!] (restricted)
  11. Weller, Dietrich, 1985. "Fair division of a measurable space," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 5-17, February. [Downloadable!] (restricted)
  12. Berliant, Marcus & Dunz, Karl, 2004. "A foundation of location theory: existence of equilibrium, the welfare theorems, and core," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 593-618, August. [Downloadable!] (restricted)
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