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Strategy-Proof and Anonymous Allocation Rules of Indivisible Goods: A New Characterization of Vickrey Allocation Rule

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  • Shigehiro Serizawa

Abstract

We consider situations where a society allocates a finite units of an indivisible good among agents, and each agent receives at most one unit of the good. For example, imagine that a government allocates a fixed number of licences to private firms, or imagine that a government distributes equally divided lands to households. We show that the Vickrey allocation rule is the unique allocation rule satisfying strategy-proofness, anonymity and individual rationality.

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Bibliographic Info

Paper provided by Institute of Social and Economic Research, Osaka University in its series ISER Discussion Paper with number 0648.

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Date of creation: Mar 2006
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Handle: RePEc:dpr:wpaper:0648

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  1. Soo Chew & Shigehiro Serizawa, 2007. "Characterizing the Vickrey combinatorial auction by induction," Economic Theory, Springer, vol. 33(2), pages 393-406, November.
  2. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  3. Klaus, Bettina, 2001. "Coalitional Strategy-Proofness in Economies with Single-Dipped Preferences and the Assignment of an Indivisible Object," Games and Economic Behavior, Elsevier, vol. 34(1), pages 64-82, January.
  4. Miyagawa, Eiichi, 2002. "Strategy-Proofness and the Core in House Allocation Problems," Games and Economic Behavior, Elsevier, vol. 38(2), pages 347-361, February.
  5. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  6. Louis Makowski & Joseph M. Ostroy, 1984. "Vickrey-Clarke-Groves Mechanisms and Perfect Competition," UCLA Economics Working Papers 333, UCLA Department of Economics.
  7. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
  8. Szilvia Pápai, 2003. "Groves sealed bid auctions of heterogeneous objects with fair prices," Social Choice and Welfare, Springer, vol. 20(3), pages 371-385, 06.
  9. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July.
  10. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, April.
  11. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer, vol. 35(2), pages 391-401, May.
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Cited by:
  1. Kazuhiko Hashimoto & Hiroki Saitoh, 2008. "Strategy-Proof and Anonymous Rule in Queueing Problems: A Relationship between Equity and Efficiency," Discussion Papers in Economics and Business 08-17, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
  2. Itai Ashlagi & Shigehiro Serizawa, 2012. "Characterizing Vickrey allocation rule by anonymity," Social Choice and Welfare, Springer, vol. 38(3), pages 531-542, March.

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