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Balanced ranking mechanisms

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  • Long, Yan
  • Mishra, Debasis
  • Sharma, Tridib

Abstract

In the private values single object auction model, we construct a satisfactory mechanism – a symmetric, dominant strategy incentive compatible, and budget-balanced mechanism. The mechanism converges to efficiency at an exponential rate. It allocates the object to the highest valued agent with more than 99% probability provided there are at least 14 agents. It is also ex-post individually rational. We show that our mechanism is optimal in a restricted class of satisfactory ranking mechanisms. Since achieving efficiency through a dominant strategy incentive compatible and budget-balanced mechanism is impossible in this model, our results illustrate the limits of this impossibility.

Suggested Citation

  • Long, Yan & Mishra, Debasis & Sharma, Tridib, 2017. "Balanced ranking mechanisms," Games and Economic Behavior, Elsevier, vol. 105(C), pages 9-39.
    • Handle: RePEc:eee:gamebe:v:105:y:2017:i:c:p:9-39
    DOI: 10.1016/j.geb.2017.07.002
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    Cited by:

    1. Debasis Mishra & Tridib Sharma, 2018. "A simple budget-balanced mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 147-170, January.
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    3. Yan Long, 2020. "Optimal budget-balanced ranking mechanisms to assign identical objects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 467-502, September.
    4. Yan Long, 2018. "Envy-free and budget-balanced assignment of identical objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(4), pages 705-719, April.
    5. Long, Yan & Mishra, Debasis & Sharma, Tridib, 2017. "Balanced ranking mechanisms," Games and Economic Behavior, Elsevier, vol. 105(C), pages 9-39.
    6. Matt Van Essen & John Wooders, 2023. "Dual auctions for assigning winners and compensating losers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1069-1114, November.
    7. Manea, Mihai & Maskin, Eric, 2023. "Withholding and damage in Bayesian trade mechanisms," Games and Economic Behavior, Elsevier, vol. 142(C), pages 243-265.

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    More about this item

    Keywords

    Budget-balanced mechanisms; Green–Laffont mechanism; Pareto optimal mechanism;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact

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