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Double implementation in economies with production technologies unknown to the designer

Author

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  • Guoqiang Tian

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

Abstract

This paper considers double implementation of Walrasian allocations and Lindahl allocations in Nash and strong Nash equilibria for both private and public goods economies when preferences, initial endowments, production technologies, and coalition patterns are all unknown to the designer. It will be noted that the mechanisms presented here are feasible and continuous. In addition, unlike most mechanisms proposed in the literature, our mechanism works not only for three or more agents, but also for two-agent economies, and thus it is a unified mechanism which is irrespective of the number of agents.

Suggested Citation

  • Guoqiang Tian, 1999. "Double implementation in economies with production technologies unknown to the designer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 689-707.
  • Handle: RePEc:spr:joecth:v:13:y:1999:i:3:p:689-707
    Note: Received: March 12, 1998; revised version: March 12, 1998
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    Citations

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    Cited by:

    1. Tian, Guoqiang, 2009. "Implementation of Pareto efficient allocations," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 113-123, January.
    2. Naoki Yoshihara & Akira Yamada, 2019. "Nash implementation in production economies with unequal skills: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 113-134, June.
    3. Tian, Guoqiang, 2003. "A solution to the problem of consumption externalities," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 831-847, November.
    4. Tian, Guoqiang, 2005. "Implementation in production economies with increasing returns," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 309-325, May.
    5. Huiyi Guo & Nicholas C. Yannelis, 2022. "Incentive compatibility under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 565-593, April.
    6. Rabia Nessah & Tarik Tazdait, 2010. "Quasicontinuity and Nash Equilibrium in Compact and Convex Games," Working Papers 2010-ECO-09, IESEG School of Management.
    7. Tian, Guoqiang, 2009. "Implementation in economies with non-convex production technologies unknown to the designer," Games and Economic Behavior, Elsevier, vol. 66(1), pages 526-545, May.

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