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Nash implementation with a private good

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  • John Duggan

Abstract

I construct a general model of social planning problems, including mixed production economies and regulatory problems with negative externalities as special cases, and I give simple mechanisms for Nash implementation under three increasingly general sets of assumptions. I first construct a continuous mechanism to implement the (constrained) Lindahl allocations of an economy, and I then extend this to arbitrary social choice rules based on prices. I end with a mechani sm to implement any monotonic social choice rule, assuming only the existence of a private (not necessarily transferable) good. In that general case, each agent simply reports an upper contour set, an outcome, and I need two agents to make binary numerical announcements. I do not require the usual no-veto-power condition. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • John Duggan, 2003. "Nash implementation with a private good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 117-131, January.
    • Handle: RePEc:spr:joecth:v:21:y:2003:i:1:p:117-131
    DOI: 10.1007/s00199-002-0262-2
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    Cited by:

    1. Anne van den Nouweland & Agnieszka Rusinowska, 2020. "Bargaining foundation for ratio equilibrium in public‐good economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(2), pages 302-319, April.
    2. Tian, Guoqiang, 2009. "Implementation of Pareto efficient allocations," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 113-123, January.
    3. George F. N. Shoukry, 2019. "Outcome-robust mechanisms for Nash implementation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(3), pages 497-526, March.
    4. Guoqiang Tian, 2010. "Implementation of marginal cost pricing equilibrium allocations with transfers in economies with increasing returns to scale," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 163-184, March.
    5. 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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