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A family of supermodular Nash mechanisms implementing Lindahl allocations

Author

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  • Yan Chen

    (Department of Economics, University of Michigan, Ann Arbor, MI 48109-1220, USA)

Abstract

We present a family of mechanisms which implement Lindahl allocations in Nash equilibrium. With quasilinear utility functions this family of mechanisms are supermodular games, which implies that they converge to Nash equilibrium under a wide class of learning dynamics.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:19:y:2002:i:4:p:773-790
    Note: Received: April 27, 2000; revised version: January 16, 2001
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    Citations

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    Cited by:

    1. Yan Chen & Robert Gazzale, 2004. "When Does Learning in Games Generate Convergence to Nash Equilibria? The Role of Supermodularity in an Experimental Setting," American Economic Review, American Economic Association, vol. 94(5), pages 1505-1535, December.
    2. Federica Alberti & César Mantilla, 2024. "A mechanism requesting prices and quantities may increase the provision of heterogeneous public goods," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 244-270, March.
    3. Alberti, Federica & Mantilla, César, 2020. "Provision of noxious facilities using a market-like mechanism: A simple implementation in the lab," Working papers 35, Red Investigadores de Economía.
    4. Nigar Hashimzade & Gareth D. Myles, 2009. "Announcement or Contribution? The Relative Efficiency of Manipulated Lindahl Mechanisms," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(4), pages 565-598, August.
    5. Charles Figuières & Marc Willinger, 2012. "Regulating ambient pollution when social costs are unknown," Working Papers 12-17, LAMETA, Universtiy of Montpellier, revised Jun 2012.
    6. Van Essen, Matthew J., 2008. "A Simple Supermodular Mechanism that Implements Lindahl Allocations," MPRA Paper 12781, University Library of Munich, Germany.
    7. Nizar Allouch, 2013. "A competitive equilibrium for a warm-glow economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 269-282, May.
    8. Van Essen, Matthew & Walker, Mark, 2017. "A simple market-like allocation mechanism for public goods," Games and Economic Behavior, Elsevier, vol. 101(C), pages 6-19.
    9. Matt Van Essen, 2012. "A note on the stability of Chen’s Lindahl mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 365-370, February.
    10. , J. & ,, 2012. "Designing stable mechanisms for economic environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    11. Hassan Benchekroun & Charles Figuières & Mabel Tidball, 2016. "Implementation of the Lindahl Correspondance via Simple Indirect Mechanisms," Working Papers halshs-01378460, HAL.
    12. Van Essen, Matthew & Lazzati, Natalia & Walker, Mark, 2012. "Out-of-equilibrium performance of three Lindahl mechanisms: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 74(1), pages 366-381.
    13. Sébastien ROUILLON, 2009. "A new mechanism to implement the Lindahl equilibriums (In French)," Cahiers du GREThA (2007-2019) 2009-09, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    14. Takuma Wakayama & Takehiko Yamato, 2023. "Comparison of the voluntary contribution and Pareto-efficient mechanisms under voluntary participation," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 517-553, June.
    15. Healy, Paul J. & Jain, Ritesh, 2017. "Generalized Groves–Ledyard mechanisms," Games and Economic Behavior, Elsevier, vol. 101(C), pages 204-217.
    16. Rayati, Mohammad & Teneketzis, Demosthenis, 2022. "Electricity market design and implementation in the presence of asymmetrically informed strategic producers and consumers: A surrogate optimization-based mechanism," Energy Economics, Elsevier, vol. 109(C).
    17. Korpela, Ville, 2018. "Procedurally fair implementation under complete information," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 25-31.
    18. Mathevet, Laurent & Taneva, Ina, 2013. "Finite supermodular design with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 82(C), pages 327-349.
    19. Korpela Ville, 2016. "Procedurally Fair Implementation: The Cost of Insisting on Symmetry," Discussion Papers 108, Aboa Centre for Economics.
    20. Matt Essen, 2014. "A Clarke tax tâtonnement that converges to the Lindahl allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 309-327, August.
    21. Matt Van Essen, 2015. "Bartering Games in the Kolm Triangle," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 297-310, June.
    22. Ferraz, Eduardo & Mantilla, César, 2023. "A mechanism for the efficient provision of Potential Pareto public goods," Journal of Public Economics, Elsevier, vol. 225(C).
    23. Ashwin Kambhampati, 2024. "Robust Performance Evaluation of Independent and Identical Agents," Papers 2401.16542, arXiv.org.
    24. Matt Van Essen, 2012. "Information complexity, punishment, and stability in two Nash efficient Lindahl mechanisms," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 15-40, March.

    More about this item

    Keywords

    Public goods mechanisms; Supermodular games.;

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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