IDEAS home Printed from https://ideas.repec.org/a/bla/jpbect/v8y2006i3p401-408.html
   My bibliography  Save this article

On the Frequency of Interior Cournot–Nash Equilibria in a Public Good Economy

Author

Listed:
  • WOLFGANG BUCHHOLZ
  • RICHARD CORNES
  • WOLFGANG PETERS

Abstract

In a public good economy the distribution of initial income is an important determinant of how many individuals contribute to the public good in Cournot–Nash equilibrium. In this paper, first a simple formula is derived that provides a measure for the size of the set of income distributions leading to an interior Cournot–Nash equilibrium in which all individuals contribute to the public good. Furthermore, we give an estimate for the frequency that all members of a certain subgroup of the population are contributors.

Suggested Citation

  • Wolfgang Buchholz & Richard Cornes & Wolfgang Peters, 2006. "On the Frequency of Interior Cournot–Nash Equilibria in a Public Good Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(3), pages 401-408, August.
    • Handle: RePEc:bla:jpbect:v:8:y:2006:i:3:p:401-408
    DOI: 10.1111/j.1467-9779.2006.00270.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9779.2006.00270.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9779.2006.00270.x?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. Shibata, Hirofumi, 1971. "A Bargaining Model of the Pure Theory of Public Expenditure," Journal of Political Economy, University of Chicago Press, vol. 79(1), pages 1-29, Jan.-Feb..
    2. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, October.
    3. Warr, Peter G., 1983. "The private provision of a public good is independent of the distribution of income," Economics Letters, Elsevier, vol. 13(2-3), pages 207-211.
    4. Richard Cornes & Roger Hartley, 2007. "Aggregative Public Good Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 201-219, April.
    5. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    6. Andreoni, James, 1988. "Privately provided public goods in a large economy: The limits of altruism," Journal of Public Economics, Elsevier, vol. 35(1), pages 57-73, February.
    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. Buchholz, Wolfgang & Cornes, Richard & Rübbelke, Dirk, 2011. "Interior matching equilibria in a public good economy: An aggregative game approach," Journal of Public Economics, Elsevier, vol. 95(7), pages 639-645.
    2. Joaquim Silvestre, 2012. "All but one free ride when wealth effects are small," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 201-207, March.
    3. Wolfgang Buchholz & Richard Cornes & Dirk T. G. Rübbelke, 2009. "Existence and Warr Neutrality for Matching Equilibria in a Public Good Economy: An Aggregative Game Approach," CESifo Working Paper Series 2884, CESifo.
    4. Pierre Salmon, 2003. "The Assignment of Powers in an Open-ended European Union," CESifo Working Paper Series 993, CESifo.

    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. TOSHIHIRO IHORI & MARTIN C. McGUIRE, 2007. "Collective Risk Control and Group Security: The Unexpected Consequences of Differential Risk Aversion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 231-263, April.
    2. Wolfgang Buchholz & Richard Cornes & Dirk Rübbelke, 2018. "Public goods and public bads," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(4), pages 525-540, August.
    3. Anja Brumme & Wolfgang Buchholz & Dirk Rübbelke, 2023. "The purity of impure public goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(3), pages 493-514, June.
    4. Hikaru Ogawa, 2010. "Fiscal Competition among Regional Governments - Tax Competition, Expenditure Competition and Externalities -," Public Policy Review, Policy Research Institute, Ministry of Finance Japan, vol. 6(1), pages 1-30, February.
    5. Wolfgang Buchholz & Richard Cornes & Dirk T. G. Rübbelke, 2009. "Existence and Warr Neutrality for Matching Equilibria in a Public Good Economy: An Aggregative Game Approach," CESifo Working Paper Series 2884, CESifo.
    6. Paul Pecorino, 2015. "Olson’s Logic of Collective Action at fifty," Public Choice, Springer, vol. 162(3), pages 243-262, March.
    7. Alexander Karaivanov, 2009. "Heterogeneity, returns to scale, and collective action," Canadian Journal of Economics, Canadian Economics Association, vol. 42(2), pages 771-807, May.
    8. Tamai, Toshiki, 2018. "Dynamic provision of public goods under uncertainty," Economic Modelling, Elsevier, vol. 68(C), pages 409-415.
    9. Name-Correa, Alvaro J. & Yildirim, Huseyin, 2016. "“Giving” in to social pressure," Games and Economic Behavior, Elsevier, vol. 99(C), pages 99-116.
    10. Buchholz, Wolfgang & Cornes, Richard & Rübbelke, Dirk, 2011. "Interior matching equilibria in a public good economy: An aggregative game approach," Journal of Public Economics, Elsevier, vol. 95(7), pages 639-645.
    11. Wolfgang Buchholz & Todd Sandler, 2016. "Olson’s exploitation hypothesis in a public good economy: a reconsideration," Public Choice, Springer, vol. 168(1), pages 103-114, July.
    12. Wolfgang Buchholz & Michael Eichenseer, 2019. "Advantageous leadership in public good provision: the case of an endogenous contribution technology," Journal of Economics, Springer, vol. 126(1), pages 1-17, January.
    13. Paul Pecorino, 2024. "Public good provision with redistributive taxation," Economics and Politics, Wiley Blackwell, vol. 36(1), pages 407-431, March.
    14. Wolfgang Buchholz & Todd Sandler, 2016. "The Exploitation Hypothesis in a Public Good Economy: Some Extensions," CESifo Working Paper Series 5717, CESifo.
    15. Weifeng Liu, 2014. "Participation constraints of matching mechanisms," CAMA Working Papers 2014-63, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    16. Cornes Richard & Sandler Todd, 2000. "Pareto-Improving Redistribution and Pure Public Goods," German Economic Review, De Gruyter, vol. 1(2), pages 169-186, May.
    17. Andreas Löschel & Dirk Rübbelke, 2014. "On the Voluntary Provision of International Public Goods," Economica, London School of Economics and Political Science, vol. 81(322), pages 195-204, April.
    18. Boadway, Robin & Song, Zhen & Tremblay, Jean-François, 2013. "Non-cooperative pollution control in an inter-jurisdictional setting," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 783-796.
    19. James Andreoni, 1998. "Toward a Theory of Charitable Fund-Raising," Journal of Political Economy, University of Chicago Press, vol. 106(6), pages 1186-1213, December.
    20. Brunner, Eric & Sonstelie, Jon, 2003. "School finance reform and voluntary fiscal federalism," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 2157-2185, September.

    More about this item

    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:bla:jpbect:v:8:y:2006:i:3:p:401-408. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/apettea.html .

    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.