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Clubs and the Market: Large Finite Economies

  • Ellickson, Bryan
  • Grodal, Birgit
  • Scotchmer, Suzanne
  • Zame, William R.

This paper defines a general equilibrium model with exchange and club formation. Agents trade multiple private goods widely in the market, can belong to several clubs, and care about the characteristics of the other members of thei r clubs. The space of agents and the number of possible club types are finite. It is shown that (i) approximate competitive equilibrium exists, (ii) the core can approximately be decentralized. The approximations are close if the economy is large. The central subtlety is in modeling club memberships and expressing the notion that membership choices are consistent across the population.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 101 (2001)
Issue (Month): 1 (November)
Pages: 40-77

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Handle: RePEc:eee:jetheo:v:101:y:2001:i:1:p:40-77
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Discussion Papers 99-04, University of Copenhagen. Department of Economics.
    • Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
  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.
  3. 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.
  4. Scotchmer, Suzanne, 1996. "Externality pricing in club economies," Ricerche Economiche, Elsevier, vol. 50(4), pages 347-366, December.
  5. Anderson, Robert M, 1985. "Strong Core Theorems with Nonconvex Preferences," Econometrica, Econometric Society, vol. 53(6), pages 1283-94, November.
  6. Greg Engl & Suzanne Scotchmer, 1997. "The law of supply in games, markets and matching models (*)," Economic Theory, Springer, vol. 9(3), pages 539-550.
  7. Hildenbrand, Werner & Schmeidler, David & Zamir, Shmuel, 1973. "Existence of Approximate Equilibria and Cores," Econometrica, Econometric Society, vol. 41(6), pages 1159-66, November.
  8. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market: Large Finite Economies," Discussion Papers 99-05, University of Copenhagen. Department of Economics.
  9. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1998. "Clubs and the Market: Continuum Economies," Microeconomics 9802002, EconWPA.
  10. Grodal, Birgit & Trockel, Walter & Weber, Shlomo, 1984. "On approximate cores of non-convex economies," Economics Letters, Elsevier, vol. 15(3-4), pages 197-202.
  11. 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.
  12. Cole, Harold L. & Prescott, Edward C., 1997. "Valuation Equilibrium with Clubs," Journal of Economic Theory, Elsevier, vol. 74(1), pages 19-39, May.
  13. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
  14. Dimitrios Diamantaras & Robert P. Gilles, 1994. "The Pure Theory of Public Goods: Efficiency, Decentralization, and the Core," Public Economics 9403001, EconWPA.
  15. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November.
  16. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
  17. 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.
  18. Pines, David, 1991. "Tiebout without politics," Regional Science and Urban Economics, Elsevier, vol. 21(3), pages 469-489, November.
  19. 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.
  20. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-40, May.
  21. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
  22. 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.
  23. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  24. 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.
  25. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416.
  26. Brueckner, J.K., 1990. "Tastes, Skills, And Local Public Goods," Working Papers 8, John Deutsch Institute for the Study of Economic Policy.
  27. 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.
  28. Berglas, Eitan, 1976. "Distribution of tastes and skills and the provision of local public goods," Journal of Public Economics, Elsevier, vol. 6(4), pages 409-423, November.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. Grodal, Birgit, 1976. "Existence of Approximate Cores with Incomplete Preferences," Econometrica, Econometric Society, vol. 44(4), pages 829-30, July.
  34. Scotchmer, Suzanne, 1985. "Profit-maximizing clubs," Journal of Public Economics, Elsevier, vol. 27(1), pages 25-45, June.
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