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Efficient Mixed Clubs: Nonlinear-Pricing Equilibria with Entrepreneurial Managers

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Author Info
Hideo Konishi () (Boston College)

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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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Publisher 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: forthcoming, Japanese Economic Review
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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Related research
Keywords: club goods; mixed club; efficiency; equilibrium; entrepreneurship; nonlinear contract; envy-free; core;

Find related papers by 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

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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. 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)
  2. 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)
  3. 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.. [Downloadable!] (restricted)
  4. William R. Zame, 2007. "Incentives, Contracts, and Markets: A General Equilibrium Theory of Firms," Econometrica, Econometric Society, vol. 75(5), pages 1453-1500, 09. [Downloadable!] (restricted)
    Other versions:
  5. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
    Other versions:
  7. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December. [Downloadable!] (restricted)
  8. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May. [Downloadable!] (restricted)
  9. 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)
  10. 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.
  11. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March. [Downloadable!] (restricted)
    Other versions:
  12. Boadway, Robin, 1980. "A note on the market provision of club goods," Journal of Public Economics, Elsevier, vol. 13(1), pages 131-137, February. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Berglas, Eitan, 1976. "On the Theory of Clubs," American Economic Review, American Economic Association, vol. 66(2), pages 116-21, May. [Downloadable!] (restricted)
  15. 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)
  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)
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