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Clubs and the Market: Large Finite Economies

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Author Info
Bryan Ellickson (University of California, Los Angeles)
Birgit Grodal (Institute of Economics, University of Copenhagen)
Suzanne Scotchmer (University of California, Berkeley)
William R. Zame (University of California, Los Angeles)

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Abstract

We study large finite club economies in which agents can belong to several clubs, and care about the characteristics of the other club members. Club memberships must be integer consistent in aggregate. We show that states in the approximate core can approximately be decentralized by prices for private goods and for club memberships, that the approximate core is nonempty, and that approximate club equilibria exist. Our arguments use the convexification tools used for private goods economies, but we also develop a new tool to address the consistency requirement on memberships that are special to club economies. This tool allows us to overcome the integer consistency problems that are avoided in our (1999) paper by assuming a continuum of agents.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 99-05.

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Length: 43 pages
Date of creation: Jan 1999
Date of revision:
Publication status: Published in: Journal of Econ Theory 101(1) 2001, 40-77
Handle: RePEc:kud:kuiedp:9905

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Related research
Keywords: clubs; e-cores; approximate equilibrium; decentralization;

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Find related papers by JEL classification:
D2 - Microeconomics - - Production and Organizations
D5 - Microeconomics - - General Equilibrium and Disequilibrium
H4 - Public Economics - - Publicly Provided Goods

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. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November. [Downloadable!] (restricted)
  2. Engl, Greg & Scotchmer, Suzanne, 1996. "The core and the hedonic core: Equivalence and comparative statics," Journal of Mathematical Economics, Elsevier, vol. 26(2), pages 209-248. [Downloadable!] (restricted)
  3. Suzanne Scotchmer, 1985. "Two-Tier Pricing of Shared Facilities in a Free-Entry Equilibrium," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 456-472, Winter. [Downloadable!] (restricted)
  4. 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)
  5. Pines, David, 1991. "Tiebout without politics," Regional Science and Urban Economics, Elsevier, vol. 21(3), pages 469-489, November. [Downloadable!] (restricted)
  6. 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)
  7. Greg Engl & Suzanne Scotchmer, 1997. "The law of supply in games, markets and matching models (*)," Economic Theory, Springer, vol. 9(3), pages 539-550.
  8. Suzanne Scotchmer and Greg Engl., 1992. "The Core and the Hedonic Core: Equivalence and Comparative Statics," Economics Working Papers 92-197, University of California at Berkeley.
  9. 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)
  10. Scotchmer, Suzanne, 1996. "Externality pricing in club economies," Ricerche Economiche, Elsevier, vol. 50(4), pages 347-366, December. [Downloadable!] (restricted)
  11. Bryan Ellickson and Birgit Grodal, Suzanne Scotchmer, and William R. Zame., 1997. "Clubs and the Market: Continuum Economies," Economics Working Papers 97-254, University of California at Berkeley. [Downloadable!]
    Other versions:
  12. Gilles, Robert P. & Scotchmer, Suzanne, 1997. "Decentralization in Replicated Club Economies with Multiple Private Goods," Journal of Economic Theory, Elsevier, vol. 72(2), pages 363-387, February. [Downloadable!] (restricted)
  13. Suzanne Scotchmer., 1996. "Externality Pricing in Club Economies," Economics Working Papers 96-246, University of California at Berkeley. [Downloadable!]
  14. 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)
  15. Cole, Harold L. & Prescott, Edward C., 1997. "Valuation Equilibrium with Clubs," Journal of Economic Theory, Elsevier, vol. 74(1), pages 19-39, May. [Downloadable!] (restricted)
    Other versions:
  16. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August. [Downloadable!] (restricted)
  17. Boadway, Robin, 1982. "On the Method of Taxation and the Provision of Local Public Goods: Comment," American Economic Review, American Economic Association, vol. 72(4), pages 846-51, September. [Downloadable!] (restricted)
  18. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February. [Downloadable!] (restricted)
  19. Ellickson, Bryan, 1973. "A Generalization of the Pure Theory of Public Goods," American Economic Review, American Economic Association, vol. 63(3), pages 417-32, June. [Downloadable!] (restricted)
  20. Brueckner Jan K., 1994. "Tastes, Skills, and Local Public Goods," Journal of Urban Economics, Elsevier, vol. 35(2), pages 201-220, March. [Downloadable!] (restricted)
  21. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August. [Downloadable!] (restricted)
  22. Diamantaras, Dimitrios & Gilles, Robert P & Scotchmer, Suzanne, 1996. "Decentralization of Pareto Optima in Economies with Public Projects, Nonessential Private Goods and Convex Costs," Economic Theory, Springer, vol. 8(3), pages 555-64, October.
  23. Dimitrios Diamantaras & Robert P. Gilles, 1994. "The Pure Theory of Public Goods: Efficiency, Decentralization, and the Core," Public Economics 9403001, EconWPA. [Downloadable!]
    Other versions:
  24. Berglas, Eitan & Pines, David, 1980. "Clubs as a case of competitive industry with goods of variable quality," Economics Letters, Elsevier, vol. 5(4), pages 363-366. [Downloadable!] (restricted)
  25. Scotchmer, Suzanne, 1985. "Profit-maximizing clubs," Journal of Public Economics, Elsevier, vol. 27(1), pages 25-45, June. [Downloadable!] (restricted)
  26. 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)
  27. Greenberg, Joseph & Shitovitz, Benyamin, 1988. "Consistent voting rules for competitive local public goods economies," Journal of Economic Theory, Elsevier, vol. 46(2), pages 223-236, December. [Downloadable!] (restricted)
  28. Robert P. Gilles and Suzanne Scotchmer., 1995. "Decentralization in Replicated Club Economies with Multiple Private Goods," Economics Working Papers 95-243, University of California at Berkeley.
Full references

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. Gilles, R.P., 1999. "Coalition provision of pure collective goods," Discussion Paper 47, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1998. "Clubs and the Market: Continuum Economies," Microeconomics 9802002, EconWPA. [Downloadable!]
    Other versions:
  3. Nizar Allouch & Myrna Wooders, 2004. "Price taking equilibrium in club economies with multiple memberships and unbounded club sizes," Cahiers de la Maison des Sciences Economiques b04109, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  4. Joon Song, 2007. "Futures Market: Contractual Arrangement to Restrain Moral Hazard in Teams," Economics Discussion Papers 633, University of Essex, Department of Economics. [Downloadable!]
  5. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William Zame, 2000. "A Theory of Firm Formation and Skills Acquisition," Econometric Society World Congress 2000 Contributed Papers 0359, Econometric Society. [Downloadable!]
  6. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William Zame, 1999. "The Organization of Production, Consumption, and Learning," Discussion Papers 03-23, University of Copenhagen. Department of Economics, revised Jun 2003. [Downloadable!]
  7. Allouch, Nizar & Wooders, Myrna, 2002. "Competitive Pricing In Socially Networked Economies," The Warwick Economics Research Paper Series (TWERPS) 639, University of Warwick, Department of Economics. [Downloadable!]
  8. Suzanne Scotchmer, 2002. "Consumption Externalities, Rental Markets and Purchase Clubs," Discussion Papers 03-25, University of Copenhagen. Department of Economics, revised May 2003. [Downloadable!]
  9. Hans Gersbach & Hans Haller, 2003. "Competitive Markets, Collective Decisions and Group Formation," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  10. Gersbach, Hans & Haller, Hans, 2006. "Clubs and Households," CEPR Discussion Papers 5687, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  11. Harold L. Cole & George J. Mailath & Andrew Postlewaite, 1998. "Efficient non-contractible investments," Staff Report 253, Federal Reserve Bank of Minneapolis. [Downloadable!]
    Other versions:
  12. Xiong, Siyang & Zheng, Charles Zhoucheng, 2006. "Core Equivalence Theorem with Production," Staff General Research Papers 12697, Iowa State University, Department of Economics.
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