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The gamma-core and coalition formation

Listed author(s):
  • Parkash Chander

    ()

This paper reinterprets by [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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File URL: http://hdl.handle.net/10.1007/s00182-006-0067-9
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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 35 (2007)
Issue (Month): 4 (April)
Pages: 539-556

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Handle: RePEc:spr:jogath:v:35:y:2007:i:4:p:539-556
DOI: 10.1007/s00182-006-0067-9
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  1. 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.
  2. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 379-401.
  3. Joseph Farrell and Garth Saloner., 1988. "Coordination through Committees and Markets," Economics Working Papers 8864, University of California at Berkeley.
  4. Moulin, Herve, 1987. "Egalitarian-Equivalent Cost Sharing of a Public Good," Econometrica, Econometric Society, vol. 55(4), pages 963-976, July.
  5. CHANDER, Parkash, "undated". "International treaties on global pollution: a dynamic time-path analysis," CORE Discussion Papers RP 1591, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
  7. Parkash Chander & Henry Tulkens, 1995. "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 2(2), pages 279-293, August.
  8. Herbert E. Scarf, 1970. "On the Existence of a Cooperative Solution for a General Class of N-Person Games," Cowles Foundation Discussion Papers 293, Cowles Foundation for Research in Economics, Yale University.
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  11. Chander, Parkash, 1993. "Dynamic Procedures and Incentives in Public Good Economies," Econometrica, Econometric Society, vol. 61(6), pages 1341-1354, November.
  12. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  13. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January.
  14. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
  15. 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.
  16. Roberts, Donald John, 1974. "The Lindahl solution for economies with public goods," Journal of Public Economics, Elsevier, vol. 3(1), pages 23-42, February.
  17. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
  18. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
  19. Carsten Helm, 2001. "On the existence of a cooperative solution for a coalitional game with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 141-146.
  20. TULKENS, Henry, 1997. "Cooperation vs. free riding in international environmental affairs: two approaches," CORE Discussion Papers 1997052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
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