IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v44y2010i3d10.1007_s00199-009-0488-3.html
   My bibliography  Save this article

Utilitarian mechanism design for an excludable public good

Author

Listed:
  • Martin F. Hellwig

    (Max Planck Institute for Research on Collective Goods)

Abstract

This paper studies the design of optimal utilitarian mechanisms for an excludable public good. Excludability provides a basis for making people pay for admissions; the payments can be used for redistribution and/or funding. Whereas previous work assumed that admissions are governed by the payment or nonpayment of a price, this paper allows for arbitrary admission rules. With sufficient inequality aversion, nondegenerate randomization in admissions is shown to be desirable for certain model specifications, with and without participation constraints. The paper also gives a sufficient condition on the distribution of preferences under which randomization is undesirable.

Suggested Citation

  • Martin F. Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 361-397, September.
  • Handle: RePEc:spr:joecth:v:44:y:2010:i:3:d:10.1007_s00199-009-0488-3
    DOI: 10.1007/s00199-009-0488-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-009-0488-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00199-009-0488-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    2. Schmitz, Patrick W, 1997. "Monopolistic Provision of Excludable Public Goods under Private Information," Public Finance = Finances publiques, , vol. 52(1), pages 89-101.
    3. 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.
    4. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    5. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    7. Hellwig, Martin F., 2007. "The undesirability of randomized income taxation under decreasing risk aversion," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 791-816, April.
    8. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1163-1188.
    9. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
    10. Sun, Yeneng & Zhang, Yongchao, 2009. "Individual risk and Lebesgue extension without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 144(1), pages 432-443, January.
    11. Martin F. Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 361-397, September.
    12. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
    13. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    14. Brito, Dagobert L. & Hamilton, Jonathan H. & Slutsky, Steven M. & Stiglitz, Joseph E., 1995. "Randomization in optimal income tax schedules," Journal of Public Economics, Elsevier, vol. 56(2), pages 189-223, February.
    15. Martin Hellwig, 2008. "A Maximum Principle for Control Problems with Monotonicity Constraints," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_04, Max Planck Institute for Research on Collective Goods.
    16. Manelli, Alejandro M. & Vincent, Daniel R., 2006. "Bundling as an optimal selling mechanism for a multiple-good monopolist," Journal of Economic Theory, Elsevier, vol. 127(1), pages 1-35, March.
    17. Norman,P., 2000. "Efficient mechanisms for public goods with use exclusions," Working papers 15, Wisconsin Madison - Social Systems.
    18. Mirrlees, J. A., 1976. "Optimal tax theory : A synthesis," Journal of Public Economics, Elsevier, vol. 6(4), pages 327-358, November.
    19. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    20. Guesnerie, Roger & Laffont, Jean-Jacques, 1984. "A complete solution to a class of principal-agent problems with an application to the control of a self-managed firm," Journal of Public Economics, Elsevier, vol. 25(3), pages 329-369, December.
    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. Martin F. Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 361-397, September.
    2. Loertscher, Simon & Marx, Leslie M., 2017. "Club good intermediaries," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 430-459.
    3. Traxler, Christian, 2012. "Majority voting and the welfare implications of tax avoidance," Journal of Public Economics, Elsevier, vol. 96(1), pages 1-9.
    4. Khan, M. Ali & Qiao, Lei & Rath, Kali P. & Sun, Yeneng, 2020. "Modeling large societies: Why countable additivity is necessary," Journal of Economic Theory, Elsevier, vol. 189(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Martin Hellwig, 2004. "Optimal Income Taxation, Public-Goods Provision and Public-Sector Pricing: A Contribution to the Foundations of Public Economics," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2004_14, Max Planck Institute for Research on Collective Goods.
    2. Hellwig, Martin F., 2007. "A contribution to the theory of optimal utilitarian income taxation," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1449-1477, August.
    3. Martin Hellwig & Felix Bierbrauer, 2009. "Public Good Provision in a Large Economy," 2009 Meeting Papers 1062, Society for Economic Dynamics.
    4. Felix J. Bierbrauer & Pierre C. Boyer, 2016. "Efficiency, Welfare, and Political Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(1), pages 461-518.
    5. Sahm, Marco, 2006. "Essays in Public Economic Theory," Munich Dissertations in Economics 5633, University of Munich, Department of Economics.
    6. Martin Hellwig, 2008. "A Maximum Principle for Control Problems with Monotonicity Constraints," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_04, Max Planck Institute for Research on Collective Goods.
    7. Felix J. Bierbrauer, 2014. "Optimal Tax and Expenditure Policy with Aggregate Uncertainty," American Economic Journal: Microeconomics, American Economic Association, vol. 6(1), pages 205-257, February.
    8. Hellwig, Martin, 2022. "Incomplete-information games in large populations with anonymity," Theoretical Economics, Econometric Society, vol. 17(1), January.
    9. Hellwig, Martin, 2004. "Risk Aversion in the Small and in the Large When Outcomes Are Multidimensional," Sonderforschungsbereich 504 Publications 04-22, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    10. Hellwig, Martin F., 2007. "The provision and pricing of excludable public goods: Ramsey-Boiteux pricing versus bundling," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 511-540, April.
    11. Felix Bierbrauer & Marco Sahm, 2008. "Optimal Democratic Mechanisms for Taxation and Public Good Provision," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_09, Max Planck Institute for Research on Collective Goods.
    12. Hellwig, Martin F., 2007. "The undesirability of randomized income taxation under decreasing risk aversion," Journal of Public Economics, Elsevier, vol. 91(3-4), pages 791-816, April.
    13. Morgan, John & Tumlinson, Justin & Várdy, Felix, 2022. "The limits of meritocracy," Journal of Economic Theory, Elsevier, vol. 201(C).
    14. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    15. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    16. Casey Rothschild & Florian Scheuer, 2014. "A Theory of Income Taxation under Multidimensional Skill Heterogeneity," NBER Working Papers 19822, National Bureau of Economic Research, Inc.
    17. Jacquet, Laurence & Lehmann, Etienne & Van der Linden, Bruno, 2013. "Optimal redistributive taxation with both extensive and intensive responses," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1770-1805.
    18. Konrad Podczeck, 2010. "On existence of rich Fubini extensions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 1-22, October.
    19. Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
    20. Bierbrauer, Felix J. & Boyer, Pierre C., 2013. "Political competition and Mirrleesian income taxation: A first pass," Journal of Public Economics, Elsevier, vol. 103(C), pages 1-14.

    More about this item

    Keywords

    Utilitarian welfare maximization; Admission rules for excludable public goods; Randomization in optimal mechanisms;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    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:spr:joecth:v:44:y:2010:i:3:d:10.1007_s00199-009-0488-3. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.