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Coalition Formation with Local Public Goods and Network Effect

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Author Info
Fan-chin Kung (City University of Hong Kong & Academia Sinica)

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Abstract

Many local public goods are provided by coalitions and some of them have network effects. Namely, people prefer to consume a public good in a coalition with more members. This paper adopts the Drèze and Greenberg (1980) type utility function where players have preferences over goods as well as coalition members. In a game with anonymous and separable network effect, the core is nonempty when coalition feasible sets are monotonic and players' preferences over public goods have connected support. All core allocations consist of connected coalitions and they are Tiebout equilibria as well. We also examine the no-exodus equilibrium for games whose feasible sets are not monotonic.

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Paper provided by EconWPA in its series Game Theory and Information with number 0506007.

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Length: 17 pages
Date of creation: 28 Jun 2005
Date of revision:
Handle: RePEc:wpa:wuwpga:0506007

Note: Type of Document - pdf; pages: 17
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Web page: http://129.3.20.41

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Related research
Keywords: Coalition formation; core; network effect; local public goods;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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  1. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March. [Downloadable!] (restricted)
  2. Church, Jeffrey & Gandal, Neil, 1992. "Network Effects, Software Provision, and Standardization," Journal of Industrial Economics, Blackwell Publishing, vol. 40(1), pages 85-103, March. [Downloadable!] (restricted)
  3. Fan-chin Kung, 2005. "Formation of Collective Decision-Making Units: Stability and a Solution," Game Theory and Information 0505002, EconWPA, revised 21 Jun 2005. [Downloadable!]
  4. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation, Yale University. [Downloadable!]
  5. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February. [Downloadable!] (restricted)
  6. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153. [Downloadable!] (restricted)
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  7. Mamoru Kaneko & Myrna Holtz Wooders, 1982. "Cores of Partitioning Games," Cowles Foundation Discussion Papers 620, Cowles Foundation, Yale University. [Downloadable!]
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  8. Guesnerie, Roger & Oddou, Claude, 1981. "Second best taxation as a game," Journal of Economic Theory, Elsevier, vol. 25(1), pages 67-91, August. [Downloadable!] (restricted)
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  9. Greenberg, J. & Weber, S., 1991. "Stable Coalition Structure with Unidimensional Set of Alternatives," Papers 91-11, York (Canada) - Department of Economics.
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  10. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May. [Downloadable!] (restricted)
  11. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October. [Downloadable!] (restricted)
  12. Demange, G., 1991. "Intermediate Preferences and Stable Coalition Structures," DELTA Working Papers 91-16, DELTA (Ecole normale supérieure).
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  13. Le Breton, M & Owen, G & Weber, S, 1992. "Strongly Balanced Cooperative Games," International Journal of Game Theory, Springer, vol. 20(4), pages 419-27.
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  14. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-40, June. [Downloadable!] (restricted)
  15. Economides, Nicholas, 1996. "Network externalities, complementarities, and invitations to enter," European Journal of Political Economy, Elsevier, vol. 12(2), pages 211-233, September. [Downloadable!] (restricted)
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