IDEAS home Printed from https://ideas.repec.org/a/eee/pubeco/v91y2007i9p1684-1707.html
   My bibliography  Save this article

Weak links, good shots and other public good games: Building on BBV

Author

Listed:
  • Cornes, Richard
  • Hartley, Roger

Abstract

We suggest an alternative way of analyzing the canonical Bergstrom-Blume-Varian model of non-cooperative voluntary contributions to a public good that avoids the proliferation of dimensions as the number of players is increased. We exploit this approach to analyze models in which the aggregate level of public good is determined as a more general social composition function of individual gifts – specifically, as a generalized CES form – rather than as an unweighted sum as well as the weakest-link and best-shot models suggested by Hirshleifer. In each case, we characterize the set of equilibria, in some cases establishing existence of a unique equilibrium as well as briefly pointing out some interesting comparative static properties. We also study the weakest-link and best-shot limits of the CES composition function and show how the former can be used for equilibrium selection and the latter to show that equilibria of some better-shot games are identical to those of the much simpler best-shot game.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
<
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Cornes, Richard & Hartley, Roger, 2007. "Weak links, good shots and other public good games: Building on BBV," Journal of Public Economics, Elsevier, vol. 91(9), pages 1684-1707, September.
    • Handle: RePEc:eee:pubeco:v:91:y:2007:i:9:p:1684-1707
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-2727(07)00111-9
    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. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 259-271.
    2. Cornes, Richard & Hartley, Roger, 2007. "Weak links, good shots and other public good games: Building on BBV," Journal of Public Economics, Elsevier, vol. 91(9), pages 1684-1707, September.
    3. 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.
    4. Vicary, Simon & Sandler, Todd, 2002. "Weakest-link public goods: Giving in-kind or transferring money," European Economic Review, Elsevier, vol. 46(8), pages 1501-1520, September.
    5. Todd Sandler, 1998. "Global and regional public goods: a prognosis for collective action," Fiscal Studies, Institute for Fiscal Studies, vol. 19(3), pages 221-247, August.
    6. Ihori, Toshihiro, 1996. "International public goods and contribution productivity differentials," Journal of Public Economics, Elsevier, vol. 61(1), pages 139-154, July.
    7. Roberto A. Weber, 2006. "Managing Growth to Achieve Efficient Coordination in Large Groups," American Economic Review, American Economic Association, vol. 96(1), pages 114-126, March.
    8. Sandler,Todd, 2004. "Global Collective Action," Cambridge Books, Cambridge University Press, number 9780521834773.
    9. Sandler,Todd, 2004. "Global Collective Action," Cambridge Books, Cambridge University Press, number 9780521542548.
    10. Arce M., Daniel G. & Sandler, Todd, 2001. "Transnational public goods: strategies and institutions," European Journal of Political Economy, Elsevier, vol. 17(3), pages 493-516, September.
    11. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
    12. Okuguchi, Koji, 1993. "Unified approach to Cournot models : Oligopoly, taxation and aggregate provision of a pure public good," European Journal of Political Economy, Elsevier, vol. 9(2), pages 233-245, May.
    13. 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.
    14. 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.
    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. A. Michael Spence, 1980. "Notes on Advertising, Economies of Scale, and Entry Barriers," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 493-507.
    17. Sandler, Todd & Vicary, Simon, 2001. "Weakest-link public goods: giving in-kind or transferring money in a sequential game," Economics Letters, Elsevier, vol. 74(1), pages 71-75, December.
    18. Vicary, Simon, 1990. "Transfers and the weakest-link : An extension of Hirshleifer's analysis," Journal of Public Economics, Elsevier, vol. 43(3), pages 375-394, December.
    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. Alejandro Caparrós & Michael Finus, 2020. "Public good agreements under the weakest‐link technology," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 555-582, June.
    2. Richard Cornes, 2016. "Aggregative Environmental Games," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 63(2), pages 339-365, February.
    3. Todd Sandler & Daniel G. Arce, 2007. "New face of development assistance: public goods and changing ethics," Journal of International Development, John Wiley & Sons, Ltd., vol. 19(4), pages 527-544.
    4. 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.
    5. Anne van Aaken & Janis Antonovics & Todd Sandler, 2016. "Strategic Aspects of Difficult Global Challenges," Global Policy, London School of Economics and Political Science, vol. 7, pages 33-44, May.
    6. Guillaume Cheikbossian, 2016. "The political economy of (De)centralization with complementary public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 315-348, August.
    7. Todd Sandler, 2015. "Collective action: fifty years later," Public Choice, Springer, vol. 164(3), pages 195-216, September.
    8. Gregor, Martin, 2015. "Task divisions in teams with complementary tasks," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 102-120.
    9. Subhasish M. Chowdhury & Dongryul Lee & Iryna Topolyan, 2013. "The Max-Min Group Contest," University of East Anglia Applied and Financial Economics Working Paper Series 050, School of Economics, University of East Anglia, Norwich, UK..
    10. Alejandro Caparrós & Michael Finus, 2020. "The Corona-Pandemic: A Game-Theoretic Perspective on Regional and Global Governance," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 76(4), pages 913-927, August.
    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 & Todd Sandler, 2016. "The Exploitation Hypothesis in a Public Good Economy: Some Extensions," CESifo Working Paper Series 5717, CESifo.
    13. Martin Gregor, 2011. "Tradeoffs of foreign assistance for the weakest-link global public goods," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(2), pages 233-251, April.
    14. Stefano Barbieri & David Malueg, 2014. "Group efforts when performance is determined by the “best shot”," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 333-373, June.
    15. Diana Sonntag, 2014. "FUNDING HIV‐VACCINE RESEARCH IN DEVELOPING COUNTRIES—WHAT IS WRONG WITH IAVI's RECOMMENDATION?," Health Economics, John Wiley & Sons, Ltd., vol. 23(2), pages 141-158, February.
    16. Parag Chandra & Saptorshee Kanto Chakraborty, 2017. "A Theoretical Framework for Understanding Transnational Public Goods (TPGs) to Upgrade Environmental Quality," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 15(2), pages 227-240, June.
    17. Sandler, Todd, 2001. "On financing global and international public goods," Policy Research Working Paper Series 2638, The World Bank.
    18. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
    19. Martin Gregor, 2012. "Modeling positive inter-jurisdictional public spending spillovers," Working Papers IES 2012/16, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jun 2012.
    20. 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.

    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:eee:pubeco:v:91:y:2007:i:9:p:1684-1707. 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/inca/505578 .

    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.