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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

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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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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. Chew Soo Hong & Shigehiro Serizawa, 2005. "Characterizing the Vickrey Combinatorial Auction by Induction," ISER Discussion Paper 0631, Institute of Social and Economic Research, Osaka University. [Downloadable!]
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  2. 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. [Downloadable!] (restricted)
  3. Miyagawa, Eiichi, 2002. "Strategy-Proofness and the Core in House Allocation Problems," Games and Economic Behavior, Elsevier, vol. 38(2), pages 347-361, February. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Hiroki Saitoh & Shigehiro Serizawa, 2005. "Vickrey Allocation Rule with Income Effect," ISER Discussion Paper 0646, Institute of Social and Economic Research, Osaka University. [Downloadable!]
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  7. 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. [Downloadable!] (restricted)
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