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Market games and clubs

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  • Wooders, Myrna

Abstract

The equivalence of markets and games concerns the relationship between two sorts of structures that appear fundamentally different -- markets and games. Shapley and Shubik (1969) demonstrates that: (1) games derived from markets with concave utility functions generate totally balanced games where the players in the game are the participants in the economy and (2) every totally balanced game generates a market with concave utility functions. A particular form of such a market is one where the commodities are the participants themselves, a labor market for example. But markets are very special structures, more so when it is required that utility functions be concave. Participants may also get utility from belonging to groups, such as marriages, or clubs, or productive coalitions. It may be that participants in an economy even derive utility (or disutility) from engaging in processes that lead to the eventual exchange of commodities. The question is when are such economic structures equivalent to markets with concave utility functions. This paper summarizes research showing that a broad class of large economies generate balanced market games. The economies include, for example, economies with clubs where individuals may have memberships in multiple clubs, with indivisibile commodities, with nonconvexities and with non-monotonicities. The main assumption are: (1) that an option open to any group of players is to break into smaller groups and realize the sum of the worths of these groups, that is, essential superadditivity is satisfied and :(2) relatively small groups of participants can realize almost all gains to coalition formation. The equivalence of games with many players and markets with many participants indicates that relationships obtained for markets with concave utility functions and many participants will also hold for diverse social and economic situations with many players. These relationships include: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players similarly. These results can be applied to diverse economic models to obtain the equivalence of cooperative outcomes and competitive, price taking outcomes in economies with many participants and indicate that such results hold in yet more generality.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 33968.

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Date of creation: 2008
Date of revision: Dec 2010
Handle: RePEc:pra:mprapa:33968

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Keywords: Markets; games; market games; clubs; core; market-game equivalence; Shapley value; price taking equilibrium; small group effectiveness; inessentiality of large groups; per capita boundedness; competitive equilibrium; games with side payments; balanced games; totally balanced games; local public goods; core convergence; equal treatment property; equal treatment core; approximate core; strong epsilon core; weak epsilon core; cooperative game; asymptotic negligibility;

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  1. Alexander Kovalenkov & Myrna H. Wooders, 1998. "Approximate cores of games and economies with clubs," Working Papers, University of Toronto, Department of Economics mwooders-00-01, University of Toronto, Department of Economics.
  2. Frank H. Page, Jr., Myrna H. Wooders, 2009. "Club Networks with Multiple Memberships and Noncooperative Stability," Caepr Working Papers, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington 2009-005, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  3. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, Econometric Society, vol. 50(6), pages 1483-1504, November.
  4. Wooders, Myrna Holtz & Zame, William R., 1987. "Large games: Fair and stable outcomes," Journal of Economic Theory, Elsevier, Elsevier, vol. 42(1), pages 59-93, June.
  5. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, Elsevier, vol. 3(4), pages 313-327, December.
  6. Nizar Allouch & John P. Conley & Myrna Wooders, 2008. "Anonymous Price Taking Equilibrium in Tiebout Economies with a Continuum of Agents: Existence and Characterization," Vanderbilt University Department of Economics Working Papers, Vanderbilt University Department of Economics 0811, Vanderbilt University Department of Economics.
  7. 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, Elsevier, vol. 12(2), pages 105-137, October.
  8. Wooders, Myrna Holtz, 1994. "Equivalence of Games and Markets," Econometrica, Econometric Society, Econometric Society, vol. 62(5), pages 1141-60, September.
  9. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, Elsevier, vol. 18(2), pages 328-348, August.
  10. Scotchmer, S. & Wooders, M.H., 1988. "Monotonicity in games that Exhaust Gains to Scale," Papers, Stanford - Institute for Thoretical Economics 525, Stanford - Institute for Thoretical Economics.
  11. Alexander Kovalenkov & Myrna H. Wooders, 1999. "A law of scarcity for games," Working Papers, University of Toronto, Department of Economics mwooders-00-05, University of Toronto, Department of Economics.
  12. Sun, N. & Trockel, W. & Yang, Z.F., 2004. "Competitive Outcomes and Endogenous Coalition Formation in an n-Person Game," Discussion Paper, Tilburg University, Center for Economic Research 2004-93, Tilburg University, Center for Economic Research.
  13. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, Elsevier, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
  14. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, Elsevier, vol. 101(1), pages 40-77, November.
  15. Myrna Holtz Wooders, 1992. "Large Games and Economies With Effective Small Groups," Discussion Paper Serie B, University of Bonn, Germany 215, University of Bonn, Germany, revised Aug 1992.
  16. Eyal Winter & Myrna Wooders, 2008. "On large games with bounded essential coalition sizes," International Journal of Economic Theory, The International Society for Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 191-206.
  17. Wooders,Myrna, . "On large ghames and competitive marketsI: Theory," Discussion Paper Serie B, University of Bonn, Germany 195, University of Bonn, Germany.
  18. Shubik, Martin & Wooders, Myrna Holtz, 1983. "Approximate cores of replica games and economies. Part I: Replica games, externalities, and approximate cores," Mathematical Social Sciences, Elsevier, Elsevier, vol. 6(1), pages 27-48, October.
  19. WOODERS, Myrna, 1988. "Large games are market games. 1. Large finite games," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 1988042, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  20. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, Elsevier, vol. 16(2), pages 443-456, December.
  21. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, Elsevier, vol. 140(1), pages 246-278, May.
  22. Billera, Louis J., 1974. "On games without side payments arising from a general class of markets," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 129-139, August.
  23. Myrna Wooders, 2009. "Market Games and Clubs," Vanderbilt University Department of Economics Working Papers, Vanderbilt University Department of Economics 0919, Vanderbilt University Department of Economics.
  24. Myrna Wooders & Alexander Kovalenkov, 2001. "Epsilon cores of games with limited side payments Nonemptiness and equal treatment," Economics Bulletin, AccessEcon, vol. 28(5), pages A0.
  25. Myrna Wooders, 2010. "Cores of many-player games; nonemptiness and equal treatment," Review of Economic Design, Springer, Springer, vol. 14(1), pages 131-162, March.
  26. Alessandra Casella & Jonathan S. Feinstein, 2002. "Public Goods in Trade on the Formation of Markets and Jurisdictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 437-462, May.
  27. Qin, Cheng-Zhong & Shapley, Lloyd S & Shimomura, Ken-Ichi, 2004. "The Walras Core of an Economy and Its Limit Theorem," University of California at Santa Barbara, Economics Working Paper Series qt6hp534w3, Department of Economics, UC Santa Barbara.
  28. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2004. "Voluntary formation of communities for the provision of public projects," Journal of Economic Theory, Elsevier, Elsevier, vol. 115(1), pages 1-34, March.
  29. Wooders, Myrna Holtz, 1992. "Inessentiality of Large Groups and the Approximate Core Property: An Equivalence Theorem," Economic Theory, Springer, Springer, vol. 2(1), pages 129-47, January.
  30. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R Zame, 2003. "Clubs and the Market," Levine's Working Paper Archive 618897000000000754, David K. Levine.
  31. Mas-Colell, Andreu, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 94(4), pages 625-41, June.
  32. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, Elsevier, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier.
  33. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1998. "Equilibrium in a Finite Local Public Goods Economy," Journal of Economic Theory, Elsevier, Elsevier, vol. 79(2), pages 224-244, April.
  34. Amparo Urbano Salvador & Junichi Watanabe & Yair Tauman, 1996. "A model of multiproduct price competition," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1996-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  35. Ehud Kalai & Eitan Zemel, 1980. "Generalized Network Problems Yielding Totally Balanced Games," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 425, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  36. Mas-Colell, Andreu, 1975. "A further result on the representation of games by markets," Journal of Economic Theory, Elsevier, Elsevier, vol. 10(1), pages 117-122, February.
  37. Edward Cartwright & Myrna Wooders, 2005. "The Law od Demand in Tiebout Economies," Vanderbilt University Department of Economics Working Papers, Vanderbilt University Department of Economics 0527, Vanderbilt University Department of Economics.
  38. Martin Shubik & Myrna Holtz Wooders, 1982. "Near-Markets and Market Games," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 657, Cowles Foundation for Research in Economics, Yale University.
  39. Shubik, Martin & Wooders, Myrna Holtz, 1983. "Approximate cores of replica games and economies : Part II: Set-up costs and firm formation in coalition production economies," Mathematical Social Sciences, Elsevier, Elsevier, vol. 6(3), pages 285-306, December.
  40. Shapley, Lloyd S & Shubik, Martin, 1969. "On the Core of an Economic System with Externalities," American Economic Review, American Economic Association, American Economic Association, vol. 59(4), pages 678-84, Part I Se.
  41. Wooders, Myrna, 2008. "Small group effectiveness, per capita boundedness and nonemptiness of approximate cores," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 888-906, July.
  42. Demange, G., 1991. "Intermediate Preferences and Stable Coalition Structures," DELTA Working Papers, DELTA (Ecole normale supérieure) 91-16, DELTA (Ecole normale supérieure).
  43. Page Jr., Frank H. & Wooders, Myrna, 2007. "Networks and clubs," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 64(3-4), pages 406-425.
  44. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 64, pages 416.
  45. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, Elsevier, vol. 1(1), pages 9-25, June.
  46. Sondermann, Dieter, 1974. "Economies of scale and equilibria in coalition production economies," Journal of Economic Theory, Elsevier, Elsevier, vol. 8(3), pages 259-291, July.
  47. Cheng, Hsueh-Cheng, 1981. "On dual regularity and value convergence theorems," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 37-57, March.
  48. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 85(5), pages 937-68, October.
  49. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, Elsevier, vol. 18(1), pages 33-55, August.
  50. Yaron Azrieli & Ehud Lehrer, 2007. "Market Games in Large Economies with a Finite Number of Types," Economic Theory, Springer, Springer, vol. 31(2), pages 327-342, May.
  51. Bergstrom, Theodore C. & Varian, Hal R., 1985. "When do market games have transferable utility?," Journal of Economic Theory, Elsevier, Elsevier, vol. 35(2), pages 222-233, August.
  52. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
  53. John P. Conley & Myrna Holtz Wooders, 1998. "Taste-homogeneity of Optimal Jurisdictions in a Tiebout Economy with Crowding Types," Working Papers, University of Toronto, Department of Economics mwooders-98-01, University of Toronto, Department of Economics.
  54. Kovalenkov, Alexander & Wooders, Myrna, 2004. "Comparative Statics And Laws Of Scarcity For Games," The Warwick Economics Research Paper Series (TWERPS), University of Warwick, Department of Economics 715, University of Warwick, Department of Economics.
  55. Bennett, Elaine & Wooders, Myrna, 1979. "Income distribution and firm formation," Journal of Comparative Economics, Elsevier, vol. 3(3), pages 304-317, September.
  56. Kannai, Yakar, 1972. "Continuity Properties of the Core of a Market: A Correction," Econometrica, Econometric Society, Econometric Society, vol. 40(5), pages 955-58, September.
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  1. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.

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