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A new mechanism to implement the Lindahl equilibriums (In French)

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  • Sébastien ROUILLON (GREThA UMR CNRS 5113)

Abstract

This paper presents a new economic mechanism, such that the associated game form implements Lindahl equilibria as Nash equilibria. Each player sends a 2-dimensional message, in order to tell his marginal propensity to pay and his demand for the public good. At a Nash equilibrium, the players directly and honestly reveal data defining a Lindahl equilibrium and the mechanism implements the corresponding allocation. In a quasi-linear economy, formalizing out-of-equilibrium behaviours of the players as a gradient process, the unique stationary point of this process is a Nash equilibrium of the game and it is shown to be globally stable.

Suggested Citation

  • Sébastien ROUILLON (GREThA UMR CNRS 5113), 2009. "A new mechanism to implement the Lindahl equilibriums (In French)," Cahiers du GREThA 2009-09, Groupe de Recherche en Economie Théorique et Appliquée.
  • Handle: RePEc:grt:wpegrt:2009-09
    as

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    File URL: http://cahiersdugretha.u-bordeaux4.fr/2009/2009-09.pdf
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    References listed on IDEAS

    as
    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 217-225.
    3. Theodore Groves, 1979. "Efficient Collective Choice when Compensation is Possible," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 227-241.
    4. Yan Chen, 2002. "A family of supermodular Nash mechanisms implementing Lindahl allocations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 773-790.
    5. Falkinger, Josef, 1996. "Efficient private provision of public goods by rewarding deviations from average," Journal of Public Economics, Elsevier, vol. 62(3), pages 413-422, November.
    6. Groves, Theodore & Ledyard, John O, 1980. "The Existence of Efficient and Incentive Compatible Equilibria with Public Goods," Econometrica, Econometric Society, vol. 48(6), pages 1487-1506, September.
    7. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    8. Chen, Yan & Plott, Charles R., 1996. "The Groves-Ledyard mechanism: An experimental study of institutional design," Journal of Public Economics, Elsevier, vol. 59(3), pages 335-364, March.
    9. Yan Chen & Fang-Fang Tang, 1998. "Learning and Incentive-Compatible Mechanisms for Public Goods Provision: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 633-662, June.
    10. Smith, Vernon L, 1980. "Experiments with a Decentralized Mechanism for Public Good Decisions," American Economic Review, American Economic Association, vol. 70(4), pages 584-599, September.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Public good; Lindalh equilibrium; Economic mechanism;

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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