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A characterization of the existenceof optimal dominant strategy mechanisms

Author

Listed:
  • Liqun Liu

    () (Department of Economics, Texas A&M University, College Station, TX 77843, USA)

  • Guoqiang Tian

    () (Department of Economics, Texas A&M University, College Station, TX 77843, USA)

Abstract

This paper provides two theorems which characterize the domains of valuation functions for which there exist Pareto efficient and truth dominant strategy mechanisms (balanced Groves mechanisms). Theorem 1 characterizes the existence of balanced Groves mechanisms for a general class of valuation functions. Theorem 2 provides new balance-permitting domains of valuation functions by reducing the problem of solving partial differential equations to the problem of solving a polynomial function. It shows that a balanced Groves mechanism exists if and only if each valuation function in the family under consideration can be obtained by solving a polynomial function with order less than $n-1$, where n is the number of individuals.

Suggested Citation

  • Liqun Liu & Guoqiang Tian, 1999. "A characterization of the existenceof optimal dominant strategy mechanisms," Review of Economic Design, Springer;Society for Economic Design, vol. 4(3), pages 205-218.
  • Handle: RePEc:spr:reecde:v:4:y:1999:i:3:p:205-218
    Note: Received: 5 January 1997 / Accepted: 25 May 1999
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    Cited by:

    1. Mitra, Manipushpak, 2005. "Incomplete information and multiple machine queueing problems," European Journal of Operational Research, Elsevier, vol. 165(1), pages 251-266, August.
    2. Beviá, Carmen & Corchón, Luis C., 2009. "Cooperative production and efficiency," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 143-154, March.
    3. Manipushpak Mitra & Arunava Sen, 2010. "Efficient allocation of heterogenous commodities with balanced transfers," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 29-48, June.
    4. Healy, Paul J. & Jain, Ritesh, 2017. "Generalized Groves–Ledyard mechanisms," Games and Economic Behavior, Elsevier, vol. 101(C), pages 204-217.
    5. Hain, Roland & Mitra, Manipushpak, 2004. "Simple sequencing problems with interdependent costs," Games and Economic Behavior, Elsevier, vol. 48(2), pages 271-291, August.
    6. Kazuhiko Hashimoto & Hiroki Saitoh, 2010. "Domain expansion of the pivotal mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(3), pages 455-470, March.

    More about this item

    Keywords

    Groves mechanisms; dominant strategy implementation;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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