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Nash implementation with a Private Good


  • John Duggan

    (University of Rochester)


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
(This abstract was borrowed from another version of this item.)

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  • John Duggan, "undated". "Nash implementation with a Private Good," Wallis Working Papers WP25, University of Rochester - Wallis Institute of Political Economy.
  • Handle: RePEc:roc:wallis:wp25

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    References listed on IDEAS

    1. Roemer, John E, 1993. " Would Economic Democracy Decrease the Amount of Public Bads?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(2), pages 227-238.
    2. Petra Geraats & Hans Haller, 1998. "Shareholders' choice," Journal of Economics, Springer, vol. 68(2), pages 111-135, June.
    3. Dierker, Egbert & Grodal, Birgit, 1996. "Profit Maximization Mitigates Competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 139-160, January.
    4. Sadanand, Asha B & Williamson, John M, 1991. "Equilibrium in a Stock Market Economy with Shareholder Voting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 1-35, February.
    5. Kelsey, David & Milne, Frank, 1996. "The existence of equilibrium in incomplete markets and the objective function of the firm," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 229-245.
    6. Renström, Thomas I. & Roszbach, Kasper, 1995. "Trade unions, employee share ownership and wage setting: A supply-side approach to the share economy," SSE/EFI Working Paper Series in Economics and Finance 65, Stockholm School of Economics.
    7. Peter M. DeMarzo, 1993. "Majority Voting and Corporate Control: The Rule of the Dominant Shareholder," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 713-734.
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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. 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.
    3. 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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