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A Solomonic solution to the problem of assigning a private indivisible good

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  • Athanasiou, Efthymios

Abstract

A benevolent Planner wishes to assign an indivisible private good to n claimants, each valuing the object differently. Individuals have quasi-linear preferences. Therefore, the possibility of transfers is allowed. A second-best efficient mechanism is a strategy-proof and anonymous mechanism that is not Pareto dominated by another strategy-proof and anonymous mechanism. In this context, we identify three conditions that are necessary and, together with Voluntary Participation, sufficient for a mechanism to be second-best efficient. This set includes mechanisms that destroy the good at certain profiles. For domains comprising two individuals we provide an explicit characterization of the family of second-best efficient mechanisms.

Suggested Citation

  • Athanasiou, Efthymios, 2013. "A Solomonic solution to the problem of assigning a private indivisible good," Games and Economic Behavior, Elsevier, vol. 82(C), pages 369-387.
  • Handle: RePEc:eee:gamebe:v:82:y:2013:i:c:p:369-387
    DOI: 10.1016/j.geb.2013.07.007
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Efthymios Athanasiou & Santanu Dey & Giacomo Valletta, 2016. "Groves mechanisms and communication externalities," Review of Economic Design, Springer;Society for Economic Design, vol. 20(1), pages 1-37, March.
    2. Paula Jaramillo & Çaǧatay Kayı & Flip Klijn, 2014. "Asymmetrically fair rules for an indivisible good problem with a budget constraint," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 603-633, October.
    3. Sprumont, Yves, 2013. "Constrained-optimal strategy-proof assignment: Beyond the Groves mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1102-1121.
    4. repec:spr:etbull:v:6:y:2018:i:1:d:10.1007_s40505-017-0122-7 is not listed on IDEAS
    5. Mukherjee, Conan, 2015. "On Axioms Underlying Use of Reserve Price," Working Papers 2015:7, Lund University, Department of Economics, revised 14 Apr 2015.
    6. Drexl, Moritz & Kleiner, Andreas, 2015. "Optimal private good allocation: The case for a balanced budget," Games and Economic Behavior, Elsevier, vol. 94(C), pages 169-181.
    7. Athanasiou Efthymios & Dey Santanu & Valletta Giacomo, 2012. "On Sharing the Benefits of Communication," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

    More about this item

    Keywords

    Indivisible private good; Quasi-linear preferences; Strategy-Proofness; Vickrey–Clarke–Groves mechanism;

    JEL classification:

    • 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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