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The Gamma-Core and Coalition Formation

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Author Info
Parkash Chander

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Abstract

This paper reinterprets the gamma-core (Chander and Tulkens (1995, 1997)) and justifies it as well as its prediction that the efficient coalition structure is stable in terms of the coalition formation theory. It is assumed that coalitions can freely merge or break apart, are farsighted (that is, it is the final and not the immediate payoffs that matter to the coalitions) and a coalition may deviate if and only if it stands to gain from it. It is then shown that subsequent to a deviation by a coalition, the nonmembers will have incentives to break apart into singletons, as is assumed in the definition of the gamma-characteristic function, and that the grand coalition is the only stable coalition structure.

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Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 108.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nasm04:108

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Related research
Keywords: strategic games; coalition formation; farsighted; core; characteristic function;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D62 - Microeconomics - - Welfare Economics - - - Externalities

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Parkash Chander & Henry Tulkens, 1995. "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," International Tax and Public Finance, Springer, vol. 2(2), pages 279-293, August. [Downloadable!] (restricted)
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  2. Chander, Parkash, 1993. "Dynamic Procedures and Incentives in Public Good Economies," Econometrica, Econometric Society, vol. 61(6), pages 1341-54, November. [Downloadable!] (restricted)
  3. Joseph Farrell & Garth Saloner, 1988. "Coordination through Committees and Markets," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 235-252, Summer.
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  4. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March. [Downloadable!] (restricted)
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  5. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August. [Downloadable!] (restricted)
  6. Roberts, Donald John, 1974. "The Lindahl solution for economies with public goods," Journal of Public Economics, Elsevier, vol. 3(1), pages 23-42, February. [Downloadable!] (restricted)
  7. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January. [Downloadable!] (restricted)
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  8. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January. [Downloadable!] (restricted)
  9. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-94, Supplemen. [Downloadable!] (restricted)
  10. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June. [Downloadable!] (restricted)
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  11. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July. [Downloadable!] (restricted)
  12. DIAMANTOUDI, Effrosyni & XUE, Licun, 2002. "Coalitions, agreements and efficiency," CORE Discussion Papers 2002047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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  13. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August. [Downloadable!] (restricted)
  14. Carsten Helm, 2001. "On the existence of a cooperative solution for a coalitional game with externalities," International Journal of Game Theory, Springer, vol. 30(1), pages 141-146. [Downloadable!] (restricted)
  15. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer, vol. 26(3), pages 379-401.
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  16. Parkash Chander, 1998. "International Treaties on Global Pollution: A Dynamic Time-Path Analysis," Economics Working Paper Archive 400, The Johns Hopkins University,Department of Economics.
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  17. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627. [Downloadable!] (restricted)
  18. Carraro, Carlo & Siniscalco, Domenico, 1993. "Strategies for the international protection of the environment," Journal of Public Economics, Elsevier, vol. 52(3), pages 309-328, October. [Downloadable!] (restricted)
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  19. Moulin, Herve, 1987. "Egalitarian-Equivalent Cost Sharing of a Public Good," Econometrica, Econometric Society, vol. 55(4), pages 963-76, July. [Downloadable!] (restricted)
  20. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Rabia Nessah & Kristiaan Kerstens, 2008. "Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets," Working Papers 2008-ECO-13, IESEG School of Management. [Downloadable!]
  2. Brennan Platt, 2009. "Spoilers, blocking coalitions, and the core," Social Choice and Welfare, Springer, vol. 33(3), pages 361-381, September. [Downloadable!] (restricted)
  3. Dritan Osmani & Richard S.J. Tol, 2008. "Evolution in time of Farsightedly Stable Coalitions: An Application of FUND," Working Papers FNU-162, Research unit Sustainability and Global Change, Hamburg University, revised May 2008. [Downloadable!]
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