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Efficient Mixed Clubs: Nonlinear-Pricing Equilibria with Entrepreneurial Managers

  • Hideo Konishi


    (Boston College)

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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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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  14. 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.
  15. 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.
  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.
  17. 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.
  18. 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.
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