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The [gamma]-core and coalition formation

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  • CHANDER, Parkash

Abstract

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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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2003046.

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Date of creation: 00 Jun 2003
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Handle: RePEc:cor:louvco:2003046

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Keywords: core; characteristic function; strategic games; coalition formation;

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References

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  1. 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.
  2. Ray, D. & Vohra, R., 1996. "A Theory of Endogenous Coalition Structure," Papers 68, Boston University - Industry Studies Programme.
  3. Carraro, Carlo & Siniscalco, Domenico, 1991. "Strategies for the International Protection of the Environment," CEPR Discussion Papers 568, C.E.P.R. Discussion Papers.
  4. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January.
  5. 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.
  6. Joseph Farrell and Garth Saloner., 1987. "Coordination Through Committees and Markets," Economics Working Papers 8740, University of California at Berkeley.
  7. Chander, P. & Tulkens, H., . "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," CORE Discussion Papers RP -1158, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  9. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
  10. 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.
  11. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  12. CHANDER, Parkash & TULKENS, Henry, 1995. "The Core of an Economy with Multilateral Environmental Externalities," CORE Discussion Papers 1995050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Chander, Parkash, 1993. "Dynamic Procedures and Incentives in Public Good Economies," Econometrica, Econometric Society, vol. 61(6), pages 1341-54, November.
  14. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
  15. 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.
  16. 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).
  17. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
  18. Moulin, Herve, 1987. "Egalitarian-Equivalent Cost Sharing of a Public Good," Econometrica, Econometric Society, vol. 55(4), pages 963-76, July.
  19. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
  20. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-94, Supplemen.
  21. Roberts, Donald John, 1974. "The Lindahl solution for economies with public goods," Journal of Public Economics, Elsevier, vol. 3(1), pages 23-42, February.
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Citations

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Cited by:
  1. Emilio Calvo & Santiago J. Rubio, 2012. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," Discussion Papers in Economic Behaviour 0112, University of Valencia, ERI-CES.
  2. Debraj Ray & Rajiv Vohra, 2013. "Coalition Formation," Working Papers 2013-1, Brown University, Department of Economics.
  3. Dritan Osmani, . "A note on optimal transfer schemes, stable coalition for environmental protection and joint maximization assumption," Working Papers FNU-176, Research unit Sustainability and Global Change, Hamburg University.
  4. Odd Godal & Bjart Holtsmark, 2010. "International emissions trading with endogenous taxes," Discussion Papers 626,, Research Department of Statistics Norway.
  5. Zahur, Nahim Bin, 2014. "Farsighted Fuzzy Coalitions in an Economy with Multilateral Negative Externalities," 2014 Conference (58th), February 4-7, 2014, Port Maquarie, Australia 165807, Australian Agricultural and Resource Economics Society.
  6. CHANDER, Parkash & TULKENS, Henry, 2011. "The kyoto Protocol, the Copenhagen Accord, the Cancun Agreements, and beyond: an economic and game theoretical exploration and interpretation," CORE Discussion Papers 2011051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Beard, Rodney & Mallawaarachchi, Thilak, 2011. "Are international environmental agreements stable ex-post?," MPRA Paper 34303, University Library of Munich, Germany.
  8. Olivier Bos & Béatrice Roussillon & Paul Schweinzer, 2013. "Agreeing on Efficient Emissions Reduction," CESifo Working Paper Series 4345, CESifo Group Munich.
  9. 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.
  10. Brennan Platt, 2009. "Spoilers, blocking coalitions, and the core," Social Choice and Welfare, Springer, vol. 33(3), pages 361-381, September.
  11. 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.
  12. Kumoi, Yuki & Matsubayashi, Nobuo, 2014. "Vertical integration with endogenous contract leadership: Stability and fair profit allocation," European Journal of Operational Research, Elsevier, vol. 238(1), pages 221-232.

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