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

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  • 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.

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  • 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
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    1. 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.
    2. 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..
    3. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, September.
    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.
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    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.

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