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Existence and Warr Neutrality for Matching Equilibria in a Public Good Economy: An Aggregative Game Approach

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  • Wolfgang Buchholz
  • Richard Cornes
  • Dirk T. G. Rübbelke

Abstract

Using the aggregative game approach as developed by Cornes and Hartley (2003, 2007) this paper analyzes the conditions under which matching mechanisms in a public good economy lead to interior matching equilibria in which all agents make strictly positive flat contributions to the public good. In particular we show that the distribution of income among the agents is a crucial determinant for the existence of interior matching equilibria. In addition, we explore which matching mechanisms show Warr neutrality and how the size of the economy affects the possibility of implementing a certain type of Pareto optimal solutions through matching.

Suggested Citation

  • 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 Group Munich.
  • Handle: RePEc:ces:ceswps:_2884
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    File URL: http://www.cesifo-group.de/DocDL/cesifo1_wp2884.pdf
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    References listed on IDEAS

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    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. Guttman, Joel M, 1978. "Understanding Collective Action: Matching Behavior," American Economic Review, American Economic Association, vol. 68(2), pages 251-255, May.
    3. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, April.
    4. Roberts, Russell D, 1987. "Financing Public Goods," Journal of Political Economy, University of Chicago Press, vol. 95(2), pages 420-437, April.
    5. 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.
    6. Warr, Peter G., 1982. "Pareto optimal redistribution and private charity," Journal of Public Economics, Elsevier, vol. 19(1), pages 131-138, October.
    7. Althammer, Wilhelm & Buchholz, Wolfgang, 1993. "Lindahl-equilibria as the outcome of a non-cooperative game : A reconsideration," European Journal of Political Economy, Elsevier, vol. 9(3), pages 399-405, August.
    8. 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.
    9. 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.
    10. 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.
    11. Kirchsteiger, Georg & Puppe, Clemens, 1997. "On the possibility of efficient private provision of public goods through government subsidies," Journal of Public Economics, Elsevier, vol. 66(3), pages 489-504, December.
    12. Boadway, Robin & Pestieau, Pierre & Wildasin, David, 1989. "Tax-transfer policies and the voluntary provision of public goods," Journal of Public Economics, Elsevier, vol. 39(2), pages 157-176, July.
    13. Boadway, Robin & Song, Zhen & Tremblay, Jean-Francois, 2007. "Commitment and matching contributions to public goods," Journal of Public Economics, Elsevier, vol. 91(9), pages 1664-1683, September.
    14. Danziger, Leif & Schnytzer, Adi, 1991. "Implementing the Lindahl voluntary-exchange mechanism," European Journal of Political Economy, Elsevier, vol. 7(1), pages 55-64, April.
    15. Josef Falkinger & Johann K. Brunner, 1999. "Taxation in an economy with private provision of public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 4(4), pages 357-379.
    16. Falkinger, Josef, 1996. "Efficient private provision of public goods by rewarding deviations from average," Journal of Public Economics, Elsevier, vol. 62(3), pages 413-422, November.
    17. Matthew J. Kotchen, 2009. "Voluntary Provision of Public Goods for Bads: A Theory of Environmental Offsets," Economic Journal, Royal Economic Society, vol. 119(537), pages 883-899, April.
    18. 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.
    19. Cornes, Richard & Hartley, Roger, 2003. "Risk Aversion, Heterogeneity and Contests," Public Choice, Springer, vol. 117(1-2), pages 1-25, October.
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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(7-8), pages 639-645, August.

    More about this item

    JEL classification:

    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • H77 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Intergovernmental Relations; Federalism
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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