IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v117y2012i2p496-499.html
   My bibliography  Save this article

Nash equilibrium existence and uniqueness in a club model

Author

Listed:
  • Fraser, Clive D.

Abstract

We model a single-club-heterogeneous-consumer-exogeneous-income economy as an aggregative public good game. Under common assumptions, if club quality functions are homogeneous of positive degree in the club facility investment and use, an unique Nash equilibrium exists.

Suggested Citation

  • Fraser, Clive D., 2012. "Nash equilibrium existence and uniqueness in a club model," Economics Letters, Elsevier, vol. 117(2), pages 496-499.
    • Handle: RePEc:eee:ecolet:v:117:y:2012:i:2:p:496-499
    DOI: 10.1016/j.econlet.2012.06.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176512003801
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2012.06.047?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Andreoni, James & Bergstrom, Ted, 1996. "Do Government Subsidies Increase the Private Supply of Public Goods?," Public Choice, Springer, vol. 88(3-4), pages 295-308, September.
    2. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    3. Kotchen, Matthew J., 2007. "Equilibrium existence and uniqueness in impure public good models," Economics Letters, Elsevier, vol. 97(2), pages 91-96, November.
    4. Bergstrom, Ted C. & Blume, Larry & Varian, Hal, 1992. "Uniqueness of Nash equilibrium in private provision of public goods : An improved proof," Journal of Public Economics, Elsevier, vol. 49(3), pages 391-392, December.
    5. Berglas, Eitan & Helpman, Elhanan & Pines, David, 1982. "The economic theory of clubs : Some clarifications," Economics Letters, Elsevier, vol. 10(3-4), pages 343-348.
    6. Fraser, Clive D., 2005. "Corrigendum to "When is efficiency separable from distribution in the provision of club goods?" [Journal of Economic Theory 90 (2000) 204-221]," Journal of Economic Theory, Elsevier, vol. 125(2), pages 194-197, December.
    7. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    8. Cornes, Richard & Sandler, Todd, 1994. "The comparative static properties of the impure public good model," Journal of Public Economics, Elsevier, vol. 54(3), pages 403-421, July.
    9. Fraser, Clive D., 2000. "When Is Efficiency Separable from Distribution in the Provision of Club Goods?," Journal of Economic Theory, Elsevier, vol. 90(2), pages 204-221, February.
    10. 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.
    11. 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.
    12. Nett, Lorenz & Peters, Wolfgang, 1993. "The uniqueness of the subscription equilibrium with endogenous labor supply," Economics Letters, Elsevier, vol. 42(2-3), pages 139-142.
    13. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-477, June.
    14. Hideo Konishi, 2010. "Efficient Mixed Clubs: Nonlinear‐Pricing Equilibria With Entrepreneurial Managers," The Japanese Economic Review, Japanese Economic Association, vol. 61(1), pages 35-63, March.
    15. Fraser, Clive D., 1992. "The uniqueness of Nash equilibrium in the private provision of public goods : An alternative proof," Journal of Public Economics, Elsevier, vol. 49(3), pages 389-390, December.
    16. Cornes, Richard & Sandler, Todd, 1984. "Easy Riders, Joint Production, and Public Goods," Economic Journal, Royal Economic Society, vol. 94(375), pages 580-598, September.
    17. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    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. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
    2. Klis Anna A., 2019. "On the Openness of Unique Pure-Strategy Nash Equilibrium," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-9, January.
    3. Mukherjee Vivekananda & Rübbelke Dirk & Stahlke Theresa & Brumme Anja, 2022. "Allocation of Adaptation Aid: A Normative Theory," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 242(4), pages 471-499, August.

    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. Clive Fraser, 2012. "Milton Friedman, the Demand for Money and the ECB’s Monetary-Policy Strategy," Discussion Papers in Economics 12/06, Division of Economics, School of Business, University of Leicester.
    2. 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.
    3. Lionel Richefort, 2018. "Warm-glow giving in networks with multiple public goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1211-1238, November.
    4. Wolfgang Buchholz & Todd Sandler, 2017. "Successful Leadership in Global Public Good Provision: Incorporating Behavioural Approaches," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(3), pages 591-607, July.
    5. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    6. 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.
    7. Clive D. Fraser, 2022. "Faith? Hope? Charity? Religion explains giving when warm glow and impure altruism do not," Manchester School, University of Manchester, vol. 90(5), pages 500-523, September.
    8. Kotchen, Matthew J., 2007. "Equilibrium existence and uniqueness in impure public good models," Economics Letters, Elsevier, vol. 97(2), pages 91-96, November.
    9. Ken-ichi Suzuki & Jun-ichi Itaya & Akitomo Yamanashi & Tatsuyoshi Miyakoshi, 2018. "Existence, Uniqueness, and Algorithm for Identifying Free Riders in Multiple Public Good Games: Replacement Function Approach," CESifo Working Paper Series 7062, CESifo.
    10. Bayramoglu, Basak & Finus, Michael & Jacques, Jean-François, 2018. "Climate agreements in a mitigation-adaptation game," Journal of Public Economics, Elsevier, vol. 165(C), pages 101-113.
    11. Konrad, Kai A., 1998. "Local public goods and central charities," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 345-362, May.
    12. Sebastian Bervoets & Kohmei Makihara, 2023. "Public Goods in Networks: Comparative Statics Results," AMSE Working Papers 2317, Aix-Marseille School of Economics, France.
    13. Nicola Acocella & Giovanni Di Bartolomeo, 2010. "Conflict of interest and coordination in public good provision," Politica economica, Società editrice il Mulino, issue 3, pages 389-408.
    14. Emilson Caputo Delfino Silva & Richard Corne, 2014. "Prestige Clubs," Anais do XLI Encontro Nacional de Economia [Proceedings of the 41st Brazilian Economics Meeting] 131, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    15. Richard Cornes, 2016. "Aggregative Environmental Games," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 63(2), pages 339-365, February.
    16. 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.
    17. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    18. Wolfgang Buchholz & Wolfgang Peters, 2001. "The overprovision anomaly of private public good supply," Journal of Economics, Springer, vol. 74(1), pages 63-78, February.
    19. Romano, Richard & Yildirim, Huseyin, 2001. "Why charities announce donations: a positive perspective," Journal of Public Economics, Elsevier, vol. 81(3), pages 423-447, September.
    20. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.

    More about this item

    Keywords

    Nash equilibrium; Heterogeneous clubs; Aggregative game; Homogeneous functions; Existence and uniqueness;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D1 - Microeconomics - - Household Behavior
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • H4 - Public Economics - - Publicly Provided 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:eee:ecolet:v:117:y:2012:i:2:p:496-499. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.