IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v68y2010i1p275-302.html
   My bibliography  Save this article

Sharing the cost of a public good: An incentive-constrained axiomatic approach

Author

Listed:
  • Maniquet, François
  • Sprumont, Yves

Abstract

We study the problem of provision and cost-sharing of a public good in large economies where exclusion, complete or partial, is possible. We search for incentive-constrained efficient allocation rules that display fairness properties. Population monotonicity says that an increase in population should not be detrimental to anyone. Demand monotonicity states that an increase in the demand for the public good (in the sense of a first-order stochastic dominance shift in the distribution of preferences) should not be detrimental to any agent whose preferences remain unchanged. Under suitable domain restrictions, we give an explicit characterization of all incentive-constrained efficient allocation rules. We then show that there exists a unique incentive-constrained efficient and demand-monotonic allocation rule: the so-called serial rule. In the binary public good case, the serial rule is also the only incentive-constrained efficient and population-monotonic rule.

Suggested Citation

  • Maniquet, François & Sprumont, Yves, 2010. "Sharing the cost of a public good: An incentive-constrained axiomatic approach," Games and Economic Behavior, Elsevier, vol. 68(1), pages 275-302, January.
  • Handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:275-302
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(09)00095-5
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    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. Crawford, Vincent P, 1979. "A Procedure for Generating Pareto-Efficient Egalitarian-Equivalent Allocations," Econometrica, Econometric Society, vol. 47(1), pages 49-60, January.
    4. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
    5. François Maniquet, 2003. "Implementation of allocation rules under perfect information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 323-346, October.
    6. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
    7. Kaneko, Mamoru, 1977. "The Ratio Equilibria and the Core of the Voting Game G(N, W) in a Public Goods Economy," Econometrica, Econometric Society, vol. 45(7), pages 1589-1594, October.
    8. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    9. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," Review of Economic Studies, Oxford University Press, vol. 71(4), pages 1163-1188.
    10. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    11. Dreze, Jacques H., 1980. "Public goods with exclusion," Journal of Public Economics, Elsevier, vol. 13(1), pages 5-24, February.
    12. Olszewski, Wojciech, 2004. "Coalition strategy-proof mechanisms for provision of excludable public goods," Games and Economic Behavior, Elsevier, vol. 46(1), pages 88-114, January.
    13. Mutuswami, Suresh, 2004. "Strategyproof cost sharing of a binary good and the egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 271-280, November.
    14. Yves Sprumont, 1998. "Equal factor equivalence in economies with multiple public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 543-558.
    15. Hellwig, Martin F., 2005. "A utilitarian approach to the provision and pricing of excludable public goods," Journal of Public Economics, Elsevier, vol. 89(11-12), pages 1981-2003, December.
    16. Maniquet, Francois & Sprumont, Yves, 2005. "Welfare egalitarianism in non-rival environments," Journal of Economic Theory, Elsevier, vol. 120(2), pages 155-174, February.
    17. François Maniquet & Yves Sprumont, 2004. "Fair Production and Allocation of an Excludable Nonrival Good," Econometrica, Econometric Society, vol. 72(2), pages 627-640, March.
    18. James A. Dearden, 1998. "Serial cost sharing of excludable public goods: general cost functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 189-198.
    19. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
    20. Hervé Moulin, 1994. "Serial Cost-Sharing of Excludable Public Goods," Review of Economic Studies, Oxford University Press, vol. 61(2), pages 305-325.
    21. Demange, Gabrielle, 1984. "Implementing Efficient Egalitarian Equivalent Allocations," Econometrica, Econometric Society, vol. 52(5), pages 1167-1177, September.
    22. Norman,P., 2000. "Efficient mechanisms for public goods with use exclusions," Working papers 15, Wisconsin Madison - Social Systems.
    23. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    24. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 625-641.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Moreno-Ternero, Juan D. & Roemer, John E., 2012. "A common ground for resource and welfare egalitarianism," Games and Economic Behavior, Elsevier, vol. 75(2), pages 832-841.
    2. Nicolas Gravel & Michel Poitevin, 2014. "Should a Non-Rival Public Good Always Be Provided Centrally?," Working Papers halshs-01063191, HAL.
    3. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    4. Athanasiou, Efthymios, 2013. "A Solomonic solution to the problem of assigning a private indivisible good," Games and Economic Behavior, Elsevier, vol. 82(C), pages 369-387.

    More about this item

    Keywords

    Excludable public good Incentive compatibility Fairness Serial rule;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:275-302. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.