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Clubs and the Market: Large Finite Economies

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  • Bryan Ellickson

    (UCLA)

  • Birgit Grodal

    (University of Copenhagen)

  • Suzanne Scotchmer

    (University of Berkeley)

  • William Zame

    (UCLA)

Abstract

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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Bibliographic Info

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

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Web page: http://www.econ.ucla.edu/

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  1. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416.
  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.
  3. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November.
  4. Anderson, Robert M, 1985. "Strong Core Theorems with Nonconvex Preferences," Econometrica, Econometric Society, vol. 53(6), pages 1283-94, November.
  5. Pines, David, 1991. "Tiebout without politics," Regional Science and Urban Economics, Elsevier, vol. 21(3), pages 469-489, November.
  6. Hildenbrand, Werner & Schmeidler, David & Zamir, Shmuel, 1973. "Existence of Approximate Equilibria and Cores," Econometrica, Econometric Society, vol. 41(6), pages 1159-66, November.
  7. 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.
  8. Greg Engl & Suzanne Scotchmer, 1997. "The law of supply in games, markets and matching models (*)," Economic Theory, Springer, vol. 9(3), pages 539-550.
  9. Scotchmer, Suzanne, 1996. "Externality pricing in club economies," Ricerche Economiche, Elsevier, vol. 50(4), pages 347-366, December.
  10. 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.
  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. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  13. 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.
  14. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William Zame, 1997. "Clubs and the Market: Large Finite Economies," UCLA Economics Working Papers 766, UCLA Department of Economics.
  15. Brueckner Jan K., 1994. "Tastes, Skills, and Local Public Goods," Journal of Urban Economics, Elsevier, vol. 35(2), pages 201-220, March.
  16. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
  17. 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.
  18. Harold L Cole & Edward C Prescott, 1997. "Valuation equilibrium with Clubs," Levine's Working Paper Archive 912, David K. Levine.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-40, May.
  26. Diamantaras, Dimitrios & Gilles, Robert P, 1996. "The Pure Theory of Public Goods: Efficiency, Dencentralization, and the Core," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 851-60, November.
  27. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
  28. 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.
  29. Grodal, Birgit, 1976. "Existence of Approximate Cores with Incomplete Preferences," Econometrica, Econometric Society, vol. 44(4), pages 829-30, July.
  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. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
  32. Grodal, Birgit & Trockel, Walter & Weber, Shlomo, 1984. "On approximate cores of non-convex economies," Economics Letters, Elsevier, vol. 15(3-4), pages 197-202.
  33. Scotchmer, Suzanne, 1985. "Profit-maximizing clubs," Journal of Public Economics, Elsevier, vol. 27(1), pages 25-45, June.
  34. 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.
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