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Implementation of the Lindahl Correspondance via Simple Indirect Mechanisms

Listed author(s):
  • Hassan Benchekroun

    (Department of Economics, McGill University)

  • Charles Figuières

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - CNRS - Centre National de la Recherche Scientifique - ECM - Ecole Centrale de Marseille)

  • Mabel Tidball

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM3 - Université Paul-Valéry - Montpellier 3 - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - INRA Montpellier - Institut national de la recherche agronomique [Montpellier] - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Our paper proposes an original angle to study the free-rider problem in the provision of public goods when the regulator has no information about agents' preferences. For a given outcome - specifically a Lindahl allocation - we ask what assumptions have to be imposed on simple mechanisms (in a precisely defined sense) that have the ability to Nash-implement it. Our answer lies in two main results: i) transfers necessarily belongs to a class of mechanisms that are linear in individual contributions to the public good, ii) there exists a subset of this class that fully implement Lindahl allocations. This subset encompasses, but does not reduce to, Walker (1981).

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Paper provided by HAL in its series Working Papers with number halshs-01378460.

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Date of creation: Oct 2016
Handle: RePEc:hal:wpaper:halshs-01378460
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  1. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
  2. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 173-203, December.
  3. Wolfgang Buchholz & Wolfgang Peters, 2007. "Justifying the Lindahl solution as an outcome of fair cooperation," Public Choice, Springer, vol. 133(1), pages 157-169, October.
  4. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, December.
  5. Sébastien Rouillon, 2013. "Anonymous implementation of the Lindahl correspondence: possibility and impossibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1179-1203, April.
  6. repec:dau:papers:123456789/4809 is not listed on IDEAS
  7. Bracht, Juergen & Figuieres, Charles & Ratto, Marisa, 2008. "Relative performance of two simple incentive mechanisms in a public goods experiment," Journal of Public Economics, Elsevier, vol. 92(1-2), pages 54-90, February.
  8. 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.
  9. Silvestre, Joaquim, 1984. "Voluntariness and efficiency in the provision of public goods," Journal of Public Economics, Elsevier, vol. 24(2), pages 249-256, July.
  10. Bezalel Peleg, 1996. "Double implementation of the Lindahl equilibrium by a continuous mechanism," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 311-324, December.
  11. Shitovitz, Benyamin & Spiegel, Menahem, 1998. "Cournot-Nash and Lindahl Equilibria in Pure Public Good Economies," Journal of Economic Theory, Elsevier, vol. 83(1), pages 1-18, November.
  12. Estelle Midler & Charles Figuières & Marc Willinger, 2015. "Choice overload, coordination and inequality: three hurdles to the effectiveness of the compensation mechanism?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(3), pages 513-535, October.
  13. Van Essen, Matthew J., 2008. "A Simple Supermodular Mechanism that Implements Lindahl Allocations," MPRA Paper 12781, University Library of Munich, Germany.
  14. Vega-Redondo, Fernando, 1989. "Implementation of Lindahl equilibrium: an integration of the static and dynamic approaches," Mathematical Social Sciences, Elsevier, vol. 18(3), pages 211-228, December.
  15. 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.
  16. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, January.
  17. Li, Qi & Nakamura, Shinsuke & Tian, Guoqiang, 1995. "Nash-Implementation of the Lindahl Correspondence with Decreasing Returns to Scale Technologies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(1), pages 37-52, February.
  18. 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.
  19. 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.
  20. Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
  21. Matthew J. Essen, 2013. "A Simple Supermodular Mechanism that Implements Lindahl Allocations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(3), pages 363-377, June.
  22. Kim, Taesung, 1993. "A stable Nash mechanism implementing Lindahl allocations for quasi-linear environments," Journal of Mathematical Economics, Elsevier, vol. 22(4), pages 359-371.
  23. Iyengar, Sheena S. & Kamenica, Emir, 2010. "Choice proliferation, simplicity seeking, and asset allocation," Journal of Public Economics, Elsevier, vol. 94(7-8), pages 530-539, August.
  24. Guoqiang Tian, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 613-621.
  25. Roberts, Donald John, 1974. "The Lindahl solution for economies with public goods," Journal of Public Economics, Elsevier, vol. 3(1), pages 23-42, February.
  26. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 603-611.
  27. Sato, Toshihiro, 1987. "Equity, fairness and lindahl equilibria," Journal of Public Economics, Elsevier, vol. 33(2), pages 261-271, July.
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