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The Tiebout Hypothesis: On the Existence of Pareto Efficient Competitive Equilibrium

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Author Info
John P. Conley
Myrna Holtz Wooders

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Abstract

We introduce a model of an local public goods economy with a continuum of agents and jurisdictions with finite population. Under an especially mild condition of boundedness of per capita payoffs we show nonemptiness of the core of the economy. We then demonstrate that the equal treatment core coincides with the set of competitive allocations. Under an additional condition ensuring that all outcomes in the core have the equal treatment property, 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.

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Paper provided by University of Toronto, Department of Economics in its series Working Papers with number mwooders-98-06.

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Length: 44 pages
Date of creation: 11 May 1998
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Handle: RePEc:tor:tecipa:mwooders-98-06

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D4 - Microeconomics - - Market Structure and Pricing
D5 - Microeconomics - - General Equilibrium and Disequilibrium
H4 - Public Economics - - Publicly Provided Goods

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Page Jr., Frank H. & Wooders, Myrna Holtz, 1996. "The Partnered Core of an Economy and the Partnered Competitive Equilibrium," Economics Letters, Elsevier, vol. 52(2), pages 143-152, August. [Downloadable!] (restricted)
  2. Conley, John P. & Wooders, Myrna H., 2001. "Tiebout Economies with Differential Genetic Types and Endogenously Chosen Crowding Characteristics," Journal of Economic Theory, Elsevier, vol. 98(2), pages 261-294, June. [Downloadable!] (restricted)
  3. Epple, Dennis & Filimon, Radu & Romer, Thomas, 1993. "Existence of voting and housing equilibrium in a system of communities with property taxes," Regional Science and Urban Economics, Elsevier, vol. 23(5), pages 585-610, November. [Downloadable!] (restricted)
  4. Greenberg, Joseph, 1977. "Existence of an equilibrium with arbitrary tax schemes for financing local public goods," Journal of Economic Theory, Elsevier, vol. 16(2), pages 137-150, December. [Downloadable!] (restricted)
  5. Kaneko, Mamoru & Wooders, Myrna Holtz, 1996. "The Nonemptiness of the f-Core of a Game without Side Payments," International Journal of Game Theory, Springer, vol. 25(2), pages 245-58.
  6. John P. Conley & Myrna Holtz Wooders, 1995. "Anonymous Lindahl Pricing in a Tiebout Economy with Crowding Types," Working Papers mwooders-98-02, University of Toronto, Department of Economics. [Downloadable!]
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  7. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May. [Downloadable!] (restricted)
  8. Vohra, Rajiv, 1987. "Local public goods as indivisible commodities," Regional Science and Urban Economics, Elsevier, vol. 17(2), pages 191-208. [Downloadable!] (restricted)
  9. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation, Yale University. [Downloadable!]
  10. Wooders, Myrna Holtz, 1994. "Equivalence of Games and Markets," Econometrica, Econometric Society, vol. 62(5), pages 1141-60, September. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-85, September. [Downloadable!] (restricted)
  13. Greenberg, Joseph, 1983. "Local public goods with mobility: Existence and optimality of a general equilibrium," Journal of Economic Theory, Elsevier, vol. 30(1), pages 17-33, June. [Downloadable!] (restricted)
  14. Harold L. Cole & Edward C. Prescott, 1996. "Valuation equilibria with clubs," Staff Report 174, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  15. Shubik, Martin & Wooders, Myrna Holtz, 1983. "Approximate cores of replica games and economies. Part I: Replica games, externalities, and approximate cores," Mathematical Social Sciences, Elsevier, vol. 6(1), pages 27-48, October. [Downloadable!] (restricted)
  16. Mas-Colell, Andreu, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 625-41, June. [Downloadable!] (restricted)
  17. McGuire, Martin, 1974. "Group Segregation and Optimal Jurisdictions," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 112-32, Jan.-Feb.. [Downloadable!] (restricted)
  18. Epple, Dennis & Filimon, Radu & Romer, Thomas, 1984. "Equilibrium among local jurisdictions: toward an integrated treatment of voting and residential choice," Journal of Public Economics, Elsevier, vol. 24(3), pages 281-308, August. [Downloadable!] (restricted)
  19. Kaneko, Mamoru & Wooders, Myrna Holtz, 1986. "The core of a game with a continuum of players and finite coalitions: The model and some results," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 105-137, October. [Downloadable!] (restricted)
  20. Berglas, Eitan & Pines, David, 1981. "Clubs, local public goods and transportation models : A synthesis," Journal of Public Economics, Elsevier, vol. 15(2), pages 141-162, April. [Downloadable!] (restricted)
  21. Thomas J. Nechyba, 1996. "Existence of Equilibrium and Stratification in Local and Hierarchical Tiebout Economies with Property Taxes and Voting," NBER Technical Working Papers 0190, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  22. Guesnerie, Roger & Oddou, Claude, 1981. "Second best taxation as a game," Journal of Economic Theory, Elsevier, vol. 25(1), pages 67-91, August. [Downloadable!] (restricted)
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  23. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
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  24. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-40, May. [Downloadable!] (restricted)
  25. Patrick Legros & Andrew F. Newman, 1992. "Wealth Effects," Discussion Papers 1024, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  26. Konishi, Hideo, 1996. "Voting with Ballots and Feet: Existence of Equilibrium in a Local Public Good Economy," Journal of Economic Theory, Elsevier, vol. 68(2), pages 480-509, February. [Downloadable!] (restricted)
  27. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July. [Downloadable!] (restricted)
  28. Myrna Holtz Wooders, 1996. "Equivalence of Lindahl equilibrium with participation prices and the core (*)," Economic Theory, Springer, vol. 9(1), pages 115-127.
  29. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August. [Downloadable!] (restricted)
  30. Rose-Ackerman, Susan, 1979. "Market models of local government: Exit, voting, and the land market," Journal of Urban Economics, Elsevier, vol. 6(3), pages 319-337, July. [Downloadable!] (restricted)
  31. Kaneko, Mamoru & Wooders, Myrna Holtz, 1989. "The core of a continuum economy with widespread externalities and finite coalitions: From finite to continuum economies," Journal of Economic Theory, Elsevier, vol. 49(1), pages 135-168, October. [Downloadable!] (restricted)
  32. Vohra, Rajiv, 1984. "Local public goods and average cost pricing," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 51-67, April. [Downloadable!] (restricted)
  33. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January. [Downloadable!] (restricted)
  34. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August. [Downloadable!] (restricted)
  35. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. John P. Conley & Hideo Konishi, 2000. "Migration-Proof Tiebout Equilibrium: Existence and Asymptotic Efficiency," Boston College Working Papers in Economics 452, Boston College Department of Economics, revised 01 Dec 2000. [Downloadable!]
    Other versions:
  2. Hideo Konishi, 2006. "Tiebout's Tale in Spatial Economies: Entrepreneurship, Self-Selection, and Efficiency," Boston College Working Papers in Economics 655, Boston College Department of Economics, revised 03 Jan 2008. [Downloadable!]
    Other versions:
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