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Clubs and the Market: Large Finite Economies

  • Bryan Ellickson

    (UCLA)

  • Birgit Grodal

    (University of Copenhagen)

  • Suzanne Scotchmer

    (University of Berkeley)

  • William Zame

    (UCLA)

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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Paper provided by UCLA Department of Economics in its series UCLA Economics Working Papers with number 766.

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Date of creation: 01 Apr 1997
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Handle: RePEc:cla:uclawp:766
Contact details of provider: Web page: http://www.econ.ucla.edu/

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  1. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
  2. 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.
  3. Scotchmer, Suzanne, 1996. "Externality pricing in club economies," Ricerche Economiche, Elsevier, vol. 50(4), pages 347-366, December.
  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.
  5. Pines, David, 1991. "Tiebout without politics," Regional Science and Urban Economics, Elsevier, vol. 21(3), pages 469-489, November.
  6. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 1997. "Clubs and the Market: Continuum Economies," Department of Economics, Working Paper Series qt7n5699xj, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  7. 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.
  8. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
  9. Grodal, Birgit, 1976. "Existence of Approximate Cores with Incomplete Preferences," Econometrica, Econometric Society, vol. 44(4), pages 829-30, July.
  10. 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.
  11. 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.
  12. 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.
  13. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
  14. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  15. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 625-641.
  16. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-40, May.
  17. Anderson, Robert M, 1985. "Strong Core Theorems with Nonconvex Preferences," Econometrica, Econometric Society, vol. 53(6), pages 1283-94, November.
  18. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
  19. Grodal, Birgit & Trockel, Walter & Weber, Shlomo, 1984. "On approximate cores of non-convex economies," Economics Letters, Elsevier, vol. 15(3-4), pages 197-202.
  20. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416.
  21. Greg Engl & Suzanne Scotchmer, 1997. "The law of supply in games, markets and matching models (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(3), pages 539-550.
  22. Harold L Cole & Edward C Prescott, 1997. "Valuation equilibrium with Clubs," Levine's Working Paper Archive 912, David K. Levine.
  23. Dimitrios Diamantaras & Robert P. Gilles, 1994. "The Pure Theory of Public Goods: Efficiency, Decentralization, and the Core," Public Economics 9403001, EconWPA.
  24. 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;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 555-64, October.
  25. Brueckner, J.K., 1990. "Tastes, Skills, And Local Public Goods," Working Papers 8, John Deutsch Institute for the Study of Economic Policy.
  26. 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.
  27. Gilles, Robert P. & Scotchmer, Suzanne, 1995. "Decentralization in Replicated Club Economies with Multiple Private Goods," Department of Economics, Working Paper Series qt22k559dk, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  28. 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.
  29. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November.
  30. HILDENBRAND, Werner & SCHMEIDLER, David & ZAMIR, Shmuel, . "Existence of approximate equilibria and cores," CORE Discussion Papers RP 169, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  31. Scotchmer, Suzanne, 1985. "Profit-maximizing clubs," Journal of Public Economics, Elsevier, vol. 27(1), pages 25-45, June.
  32. 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.
  33. 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.
  34. 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.
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