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Coalition Formation in Games with Externalities

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  • Montero, M.P.

    (Tilburg University, Center for Economic Research)

Abstract

This paper studies an extensive form game of coalition formation with random proposers in a situation where coalitions impose externalities on other players. It is shown that an agreement will be reached without delay provided that any set of coalitions profit from merging. Even under this strong condition, the formation of the grand coalition is not guaranteed. Therefore, the resulting coalition structure will not necessarily be efficient. The results of this model are compared with the related work of Ray and Vohra (GEB, 1999), which assumes that players move in a predetermined order. The game with random proposers tends to give a large advantage to the proposer, whereas the game with a rule of order tends to favour the responders and may not capture the competition between players. The game with random proposers yields more efficient results for some specific classes of games. However, the results of the two games cannot be ranked in general in terms of efficiency.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-121.

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Date of creation: 1999
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Handle: RePEc:dgr:kubcen:1999121

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Web page: http://center.uvt.nl

Related research

Keywords: coalition formation; externalities; partition function; random proposers;

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References

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  1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  2. Ray, D. & Vohra, R., 1996. "A Theory of Endogenous Coalition Structure," Papers 68, Boston University - Industry Studies Programme.
  3. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  4. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  5. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475.
  6. Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer, vol. 28(2), pages 157-171.
  7. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
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Citations

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Cited by:
  1. Geoffroy de Clippel & Roberto Serrano, 2008. "Bargaining, Coalitions and Externalities: a Comment on Maskin," Working Papers 2008-16, Brown University, Department of Economics.
  2. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
  3. Eyckmans, Johan & Finus, Michael & Mallozzi, Lina, 2011. "A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities," Working Papers 2011/08, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  4. Inés Macho-Stadler & David Pérez-Castrillo & Nicol? Porteiro, 2002. "Sequential Formation of Coalitions through Bilateral Agreements," UFAE and IAE Working Papers 515.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  5. Geoffroy de Clippel & Roberto Serrano, 2005. "Marginal Contributions and Externalities in the Value," Working Papers 2005-11, Brown University, Department of Economics.
  6. Carlo Carraro & Carmen Marchiori & Alessandra Sgobbi, 2006. "Advances in Negotiation Theory: Bargaining, Coalitions and Fairness," Working Papers 2006_08, Department of Economics, University of Venice "Ca' Foscari".
  7. Inés Macho-Stadler & David Pérez-Castrillo & Nicolás Porteiro, 2006. "Sequential Formation of Coalitions through Bilateral Agreements in a Cournot Setting," Working Papers 06.01, Universidad Pablo de Olavide, Department of Economics.
  8. Francis Bloch & Armando Gomes, 2004. "Contracting with Externalities and Outside Options," Working Papers 2004.78, Fondazione Eni Enrico Mattei.
  9. Montero, M.P., 2001. "The Nucleolus as a Consistent Power Index in Noncooerative Majority Games," Discussion Paper 2001-39, Tilburg University, Center for Economic Research.
  10. P. Manzini & C. Ponsati, 2006. "Stakeholder bargaining games," International Journal of Game Theory, Springer, vol. 34(1), pages 67-77, April.
  11. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.

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