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Efficient Mixed Clubs: Nonlinear-Pricing Equilibria with Entrepreneurial Managers

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  • Hideo Konishi

    (Boston College)

Abstract

Scotchmer and Wooders (1987) show that efficient clubs are homogeneous when consumers are divisible in Berglas's (1976) anonymous crowding model. However, if consumers are not divisible or if clubs have multiple facilities with economies of scope, mixed clubs are efficient. In such a model, we consider clubs with multiple membership policies for different types of consumers, and show the existence and efficiency of equilibrium with nonlinear policies. We employ entrepreneurial equilibrium, an equilibrium concept with profit-seeking entrepreneurs. In our model, club managers and members of clubs care only about the members' actions, not their types. The equilibrium is efficient in our adverse selection model due to this "anonymity" of crowding effects. Our theorem can be regarded as showing the existence of a core allocation that satisfies envy-free property in the absence of nonanonymous crowding effects.

Suggested Citation

  • Hideo Konishi, 2009. "Efficient Mixed Clubs: Nonlinear-Pricing Equilibria with Entrepreneurial Managers," Boston College Working Papers in Economics 710, Boston College Department of Economics, revised 08 Sep 2009.
  • Handle: RePEc:boc:bocoec:710
    Note: Previously circulated as "Market for Clubs with Congestible Facilities: Nonlinear-Pricing Equilibria with Entrepreneurial Managers"
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    References listed on IDEAS

    as
    1. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416-416.
    2. Hart, Sergiu & Hildenbrand, Werner & Kohlberg, Elon, 1974. "On equilibrium allocations as distributions on the commodity space," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 159-166, August.
    3. William R. Zame, 2007. "Incentives, Contracts, and Markets: A General Equilibrium Theory of Firms," Econometrica, Econometric Society, vol. 75(5), pages 1453-1500, September.
    4. Konishi, Hideo, 2008. "Tiebout's tale in spatial economies: Entrepreneurship, self-selection, and efficiency," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 461-477, September.
    5. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, Oxford University Press, vol. 90(4), pages 629-649.
    6. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    7. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-377, March.
    8. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    9. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    10. 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.
    11. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, October.
    12. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
    13. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
    14. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    15. Le Breton, M. & Weber, S., 1995. "Strong Equilibrium in a Model with Partial Rivalry," G.R.E.Q.A.M. 95a07, Universite Aix-Marseille III.
    16. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    17. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-740, May.
    18. John P. Conley & Myrna Holtz Wooders, 1998. "The Tiebout Hypothesis: On the Existence of Pareto Efficient Competitive Equilibrium," Working Papers mwooders-98-06, University of Toronto, Department of Economics.
    19. 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.
    20. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
    21. Boadway, Robin, 1980. "A note on the market provision of club goods," Journal of Public Economics, Elsevier, vol. 13(1), pages 131-137, February.
    22. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
    23. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
    24. Sandler, Todd & Tschirhart, John T, 1980. "The Economic Theory of Clubs: An Evaluative Survey," Journal of Economic Literature, American Economic Association, vol. 18(4), pages 1481-1521, December.
    25. Jan K. Brueckner & Kangoh Lee, 1991. "Economies of Scope and Multiproduct Clubs," Public Finance Review, , vol. 19(2), pages 193-208, April.
    26. Bruce W. Hamilton, 1975. "Zoning and Property Taxation in a System of Local Governments," Urban Studies, Urban Studies Journal Limited, vol. 12(2), pages 205-211, June.
    27. 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.
    28. Scotchmer, Suzanne & Wooders, Myrna Holtz, 1987. "Competitive equilibrium and the core in club economies with anonymous crowding," Journal of Public Economics, Elsevier, vol. 34(2), pages 159-173, November.
    29. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
    30. Robert W. Helsley & William C. Strange, 1991. "Exclusion and the Theory of Clubs," Canadian Journal of Economics, Canadian Economics Association, vol. 24(4), pages 889-899, November.
    31. Berglas, Eitan, 1976. "On the Theory of Clubs," American Economic Review, American Economic Association, vol. 66(2), pages 116-121, May.
    32. 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.
    33. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 625-641.
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    Cited by:

    1. Hans Gersbach & Hans Haller & Hideo Konishi, 2015. "Household formation and markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 461-507, August.
    2. Gersbach, Hans & Haller, Hans, 2010. "Club theory and household formation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 715-724, September.
    3. Clive Fraser, 2012. "Milton Friedman, the Demand for Money and the ECB’s Monetary-Policy Strategy," Discussion Papers in Economics 12/06, Division of Economics, School of Business, University of Leicester.
    4. Konishi, Hideo, 2013. "Entrepreneurial land developers: Joint production, local externalities, and mixed housing developments," Journal of Urban Economics, Elsevier, vol. 75(C), pages 68-79.
    5. Luque, Jaime, 2013. "Heterogeneous Tiebout communities with private production and anonymous crowding," Regional Science and Urban Economics, Elsevier, vol. 43(1), pages 117-123.
    6. Hideo Konishi, 2011. "Entrepreneurial Land Developers: Joint Production, Local Externalities, and Mixed Housing," Boston College Working Papers in Economics 777, Boston College Department of Economics, revised 06 Apr 2013.
    7. Fraser, Clive D., 2012. "Nash equilibrium existence and uniqueness in a club model," Economics Letters, Elsevier, vol. 117(2), pages 496-499.

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    More about this item

    Keywords

    club goods; mixed club; efficiency; equilibrium; entrepreneurship; nonlinear contract; envy-free; core;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • H70 - Public Economics - - State and Local Government; Intergovernmental Relations - - - General

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