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Anonymous Price Taking Equilibrium in Tiebout Economies with Unbounded Club Sizes


  • Nizar Allouch

    (Queen Mary, University of London)

  • John P. Conley

    () (University of Vanderbilt)

  • Myrna Wooders

    () (University of Warwick)


We introduce a model of a local public goods economy with a continuum of agents and jurisdictions with finite, but unbounded populations. Under boundedness of per capita payoffs we demonstrate nonemptiness of the core of the economy. We then demonstrate that the equal treatment core coincides with the set of price-taking equilibrium outcomes with anonymous prices - that is, prices for public goods depend only on observable characteristics of agents. Existence of equilibrium follows from nonemptiness of the core and equivalence of the core to the set of equilibrium outcomes. Our approach provides a new technique for showing existence of equilibrium in economies with a continuum of agents.

Suggested Citation

  • Nizar Allouch & John P. Conley & Myrna Wooders, 2006. "Anonymous Price Taking Equilibrium in Tiebout Economies with Unbounded Club Sizes," Working Papers 556, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:wp556

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    References listed on IDEAS

    1. McGuire, Martin, 1974. "Group Segregation and Optimal Jurisdictions," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 112-132, Jan.-Feb..
    2. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    3. Legros, Patrick & Newman, Andrew F., 1996. "Wealth Effects, Distribution, and the Theory of Organization," Journal of Economic Theory, Elsevier, vol. 70(2), pages 312-341, August.
    4. Nizar Allouch & Myrna Wooders, 2004. "Price Taking Equilibrium in Club Economies with Multiple Memberships and Unbounded Club Sizes," Working Papers 513, Queen Mary University of London, School of Economics and Finance.
    5. Conley, John P. & Wooders, Myrna H., 1997. "Equivalence of the Core and Competitive Equilibrium in a Tiebout Economy with Crowding Types," Journal of Urban Economics, Elsevier, vol. 41(3), pages 421-440, May.
    6. Dunz, Karl, 1989. "Some comments on majority rule equilibria in local public good economies," Journal of Economic Theory, Elsevier, vol. 47(1), pages 228-234, February.
    7. Hammond, Peter J. & Kaneko, Mamoru & Wooders, Myrna Holtz, 1989. "Continuum economies with finite coalitions: Core, equilibria, and widespread externalities," Journal of Economic Theory, Elsevier, vol. 49(1), pages 113-134, October.
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    More about this item


    Tiebout; Clubs; Jurisdictions; F-core; Core-equilibrium equivalence; Edgeworth equivalence; Continuum economies with clubs; Crowding types; Core; Equal treatment core;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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