Strategy-proofness and Fixed-price Allocation of Indivisible Goods - a Characterization Proof

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Strategy-proofness and Fixed-price Allocation of Indivisible Goods - a Characterization Proof

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Svensson , Lars-Gunnar () (Department of Economics, Lund University)

Abstract

In this paper we considered the classical Shapley-Scarf (1974) "house allocation model", where in addition there is a perfectly divisible good (money). The problem is to characterize all strategy-proof, nonbossy and individually rational allocation mechanisms. The finding is that only a fixed-price allocation mechanism is consistent with these presumptions. Miyagawa (2001) first proved this result. Here we give an alternative and comparatively short proof of the characterization result.

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Paper provided by Lund University, Department of Economics in its series Working Papers with number 2002:17.

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Length: 11 pages
Date of creation: 07 Jun 2002
Date of revision:
Handle: RePEc:hhs:lunewp:2002_017

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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation

This paper has been announced in the following NEP Reports:

NEP-ALL-2002-06-24 (All new papers)
NEP-MIC-2002-06-28 (Microeconomics)

References listed on IDEAS
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Schummer, James, 2000. "Eliciting Preferences to Assign Positions and Compensation," Games and Economic Behavior, Elsevier, vol. 30(2), pages 293-318, February. [Downloadable!] (restricted)
Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March. [Downloadable!] (restricted)
Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer, vol. 23(1), pages 75-83.
Shinji Ohseto, 1999. "Strategy-proof allocation mechanisms for economies with an indivisible good," Social Choice and Welfare, Springer, vol. 16(1), pages 121-136. [Downloadable!] (restricted)
Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer, vol. 16(4), pages 557-567. [Downloadable!] (restricted)
Roberts, Kevin, 1984. "The Theoretical Limits of Redistribution," Review of Economic Studies, Blackwell Publishing, vol. 51(2), pages 177-95, April. [Downloadable!] (restricted)
Miyagawa, Eiichi, 2001. "House Allocation with Transfers," Journal of Economic Theory, Elsevier, vol. 100(2), pages 329-355, October. [Downloadable!] (restricted)

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