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

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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.

Suggested Citation

  • Svensson , Lars-Gunnar, 2002. "Strategy-proofness and Fixed-price Allocation of Indivisible Goods - a Characterization Proof," Working Papers 2002:17, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2002_017
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    1. Shinji Ohseto, 1999. "Strategy-proof allocation mechanisms for economies with an indivisible good," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(1), pages 121-136.
    2. Lars-Gunnar Svensson & Bo Larsson, 2002. "Strategy-proof and nonbossy allocation of indivisible goods and money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(3), pages 483-502.
    3. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
    4. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    5. Kevin Roberts, 1984. "The Theoretical Limits to Redistribution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(2), pages 177-195.
    6. Schummer, James, 2000. "Eliciting Preferences to Assign Positions and Compensation," Games and Economic Behavior, Elsevier, vol. 30(2), pages 293-318, February.
    7. Miyagawa, Eiichi, 2001. "House Allocation with Transfers," Journal of Economic Theory, Elsevier, vol. 100(2), pages 329-355, October.
    8. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
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    More about this item

    Keywords

    Strategy-proof; Indivisible object; Housing market;
    All these keywords.

    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 Formulation and Implementation

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