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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.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 710.

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Length: 40 pages
Date of creation: 14 Jul 2009
Date of revision: 08 Sep 2009
Publication status: published, Japanese Economic Review, 61, 35-63, 2010, the 2009 JEA Nakahara Prize Lecture.
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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Web page: http://fmwww.bc.edu/EC/
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Keywords: club goods; mixed club; efficiency; equilibrium; entrepreneurship; nonlinear contract; envy-free; core;

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References

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  1. 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.
  2. 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..
  3. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
  4. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  5. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  6. HART, Sergiu & HILDENBRAND, Werner & KOHLBERG, Elon, . "On equilibrium allocations as distributions on the commodity space," CORE Discussion Papers RP -183, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
  13. William R. Zame, 2005. "Incentives, Contracts And Markets: A General Equilibrium Theory Of Firms," UCLA Economics Working Papers 843, UCLA Department of Economics.
  14. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
  15. 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.
  16. Berglas, Eitan, 1976. "On the Theory of Clubs," American Economic Review, American Economic Association, vol. 66(2), pages 116-21, May.
  17. Boadway, Robin, 1980. "A note on the market provision of club goods," Journal of Public Economics, Elsevier, vol. 13(1), pages 131-137, February.
  18. 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.
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Citations

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Cited by:
  1. Clive Fraser, 2012. "Milton Friedman, the Demand for Money and the ECB’s Monetary-Policy Strategy," Discussion Papers in Economics 12/06, Department of Economics, University of Leicester.
  2. Luque, Jaime, 2013. "Heterogeneous Tiebout communities with private production and anonymous crowding," Regional Science and Urban Economics, Elsevier, vol. 43(1), pages 117-123.
  3. Gersbach, Hans & Haller, Hans, 2010. "Club theory and household formation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 715-724, September.
  4. 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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