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Equilibrium Contributions and “Locally Enjoyed” Public Goods

Author

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  • Luca Corazzini

    () (Department of Economics, University of Milan-Bicocca)

Abstract

The main results of the traditional theory of private provision of public goods in the case of identical individuals are: 1) there exists a unique Nash equilibrium pattern of contributions in which everybody contributes the same amount (Bergstrom et al. [1986]); 2) this pattern is locally stable (Cornes [1980]). Under homothetic preferences, I show that these results generally no longer hold in the context of “locally enjoyed” public goods. In particular, when the symmetric Nash equilibrium is not the unique equilibrium pattern, it is locally unstable and there exists at least a locally stable asymmetric Nash equilibrium.

Suggested Citation

  • Luca Corazzini, 2004. "Equilibrium Contributions and “Locally Enjoyed” Public Goods," Working Papers 84, University of Milano-Bicocca, Department of Economics, revised Nov 2004.
  • Handle: RePEc:mib:wpaper:84
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    File URL: http://dems.unimib.it/repec/pdf/mibwpaper84.pdf
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    References listed on IDEAS

    as
    1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    2. Bergstrom, Theodore C & Stark, Oded, 1993. "How Altruism Can Prevail in an Evolutionary Environment," American Economic Review, American Economic Association, vol. 83(2), pages 149-155, May.
    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. 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.
    5. Andreoni, James, 1989. "Giving with Impure Altruism: Applications to Charity and Ricardian Equivalence," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1447-1458, December.
    6. 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.
    7. Cornes, Richard, 1979. "External Effects : An Alternative Formulation," The Warwick Economics Research Paper Series (TWERPS) 159, University of Warwick, Department of Economics.
    8. Agnar Sandmo, 1980. "Anomaly and Stability in the Theory of Externalities," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 799-807.
    9. 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.
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    More about this item

    Keywords

    Local Interaction; Public Goods; Nash Equilibria;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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