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Aggregative Public Goods Games

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  • Richard Cornes
  • Roger Hartley

Abstract

We exploit the aggregative structure of the public good model to provide a simple analysis of the voluntary contribution game. In contrast to the best response function approach, ours avoids the proliferation of dimensions as the number of players is increased, and can readily analyze games involving many heterogeneous players. We demonstrate the approach at work on the standard pure public good model and show how it can analyze extensions of the basic model.
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Suggested Citation

  • Richard Cornes & Roger Hartley, 2003. "Aggregative Public Goods Games," NajEcon Working Paper Reviews 666156000000000063, www.najecon.org.
  • Handle: RePEc:cla:najeco:666156000000000063
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    References listed on IDEAS

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    1. (*), Kai A. Konrad & Wolfgang Buchholz & Kjell Erik Lommerud, 1997. "Stackelberg leadership and transfers in private provision of public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 3(1), pages 29-43.
    2. Ihori, Toshihiro, 1996. "International public goods and contribution productivity differentials," Journal of Public Economics, Elsevier, vol. 61(1), pages 139-154, July.
    3. McGuire, Martin C & Shrestha, Ratna K, 2003. "A New Approach to Group Structure, Burden Sharing, and the Equilibrium Provision of Public Goods," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 10(4), pages 341-356, August.
    4. Richard Cornes & Roger Hartley & Todd Sandler, 1999. "Equilibrium Existence and Uniqueness in Public Good Models: An Elementary Proof via Contraction," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 499-509, October.
    5. Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
    6. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, October.
    7. Buchholz, Wolfgang & Konrad, Kai A., 1995. "Strategic transfers and private provision of public goods," Journal of Public Economics, Elsevier, vol. 57(3), pages 489-505, July.
    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. Danziger, Leif, 1976. "A graphic representation of the Nash and Lindahl equilibria in an economy with a public good," Journal of Public Economics, Elsevier, vol. 6(3), pages 295-307, October.
    10. 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.
    11. Boadway, Robin & Hayashi, Masayoshi, 1999. "Country size and the voluntary provision of international public goods," European Journal of Political Economy, Elsevier, vol. 15(4), pages 619-638, November.
    12. Richard Cornes & Todd Sandler, 2000. "Pareto‐Improving Redistribution and Pure Public Goods," German Economic Review, Verein für Socialpolitik, vol. 1(2), pages 169-186, May.
    13. Cornes, Richard & Sandler, Todd, 1985. "The Simple Analytics of Pure Public Good Provision," Economica, London School of Economics and Political Science, vol. 52(205), pages 103-116, February.
    14. 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.
    15. Martin C. McGuire & Carl H. Groth, 1985. "A Method for Identifying the Public Good Allocation Process Within a Group," The Quarterly Journal of Economics, Oxford University Press, vol. 100(Supplemen), pages 915-934.
    16. Andreoni, James & McGuire, Martin C., 1993. "Identifying the free riders : A simple algorithm for determining who will contribute to a public good," Journal of Public Economics, Elsevier, vol. 51(3), pages 447-454, July.
    17. Cornes, Richard & Hartley, Roger, 2003. "Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October.
    18. Buchholz, Wolfgang & Nett, Lorenz & Peters, Wolfgang, 1998. "The strategic advantage of being less skilled," Economics Letters, Elsevier, vol. 60(1), pages 35-39, July.
    19. 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.
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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