IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-02283840.html
   My bibliography  Save this paper

Optimal provision of a public good with costly exclusion

Author

Listed:
  • Nicolas Gravel

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Michel Poitevin

    (CIREQ - Centre interuniversitaire de recherche en économie quantitative)

Abstract

We examine the problem of providing a non-rival and excludable public good to individuals with the same preferences and differing contributing capacities. Exclusion from the public good is costly in the sense that if two different quantities of the public good are consumed in the community, then the sum of the costs of providing the two quantities must be borne. By contrast, costless exclusion only requires the cost of the largest quantity consumed of the public good to be financed. We show that despite its important cost, providing public goods in different quantities is often part of any optimal provision of public good when the public authority is imperfectly informed about the agents' contributive capacities. In the specific situation where individuals have an additively separable logarithmic utility function, we provide a complete characterization of the optimal exclusion structure in the two-type case. We also show that the preference for such a costly exclusion is more likely when the heterogeneity in the population or income is large, and when the aversion to utility inequality is important.

Suggested Citation

  • Nicolas Gravel & Michel Poitevin, 2019. "Optimal provision of a public good with costly exclusion," Post-Print hal-02283840, HAL.
    • Handle: RePEc:hal:journl:hal-02283840
    DOI: 10.1016/j.geb.2019.07.009
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-02283840
    as

    Download full text from publisher

    File URL: https://amu.hal.science/hal-02283840/document
    Download Restriction: no
    File URL: https://libkey.io/10.1016/j.geb.2019.07.009?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Gravel, Nicolas & Poitevin, Michel, 2006. "The progressivity of equalization payments in federations," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1725-1743, September.
    3. 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.
    4. 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.
    5. 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.
    6. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    7. Hervé Moulin, 1994. "Serial Cost-Sharing of Excludable Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 305-325.
    8. Martin F. Hellwig, 2003. "Public-Good Provision with Many Participants," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 589-614.
    9. Fraser, Clive D., 1996. "On the provision of excludable public goods," Journal of Public Economics, Elsevier, vol. 60(1), pages 111-130, April.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Stefan Behringer, 2005. "The Provision of a Public Good with a direct Provision Technology and Large Number of Agents," JEPS Working Papers 05-007, JEPS.
    7. 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.
    8. Felix Bierbrauer, 2010. "An incomplete contracts perspective on the provision and pricing of excludable public goods," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2010_01, Max Planck Institute for Research on Collective Goods.
    9. Bierbrauer, Felix J., 2011. "Incomplete contracts and excludable public goods," Journal of Public Economics, Elsevier, vol. 95(7), pages 553-569.
    10. Stefano Galavotti, 2014. "Reducing Inefficiency in Public Good Provision Through Linking," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(3), pages 427-466, June.
    11. Martin Hellwig & Felix Bierbrauer, 2009. "Public Good Provision in a Large Economy," 2009 Meeting Papers 1062, Society for Economic Dynamics.
    12. Fang,H. & Norman,P., 2003. "An efficiency rationale for bundling of public goods," Working papers 19, Wisconsin Madison - Social Systems.
    13. Grüner, Hans Peter & Koriyama, Yukio, 2012. "Public goods, participation constraints, and democracy: A possibility theorem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 152-167.
    14. Hines Jr., James R., 2000. "What is benefit taxation?," Journal of Public Economics, Elsevier, vol. 75(3), pages 483-492, March.
    15. Felix Bierbrauer, 2006. "Distortionary Taxation and the Free-Rider Problem," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_6, Max Planck Institute for Research on Collective Goods.
    16. Gary-Bobo, Robert J. & Jaaidane, Touria, 2000. "Polling mechanisms and the demand revelation problem," Journal of Public Economics, Elsevier, vol. 76(2), pages 203-238, May.
    17. Bierbrauer, Felix & Winkelmann, Justus, 2020. "All or nothing: State capacity and optimal public goods provision," Journal of Economic Theory, Elsevier, vol. 185(C).
    18. Martin 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.
    19. Bierbrauer, Felix & Netzer, Nick, 2016. "Mechanism design and intentions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 557-603.
    20. Nicholas C Bedard & Jacob K Goeree & Ningyi Sun, 2023. "Multivariate Majorization in Principal-Agents Models," Papers 2308.13804, arXiv.org.

    More about this item

    Keywords

    Mechanism design; Asymmetric information; Public goods; Costly exclusion;
    All these keywords.

    JEL classification:

    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hal:journl:hal-02283840. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.