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Sequential Formation of Coalitions through Bilateral Agreements

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Author Info
Inés Macho-Stadler
David Pérez-Castrillo ()
Nicol? Porteiro

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Abstract

We study a sequential protocol of endogenous coalition formation based on a process of bilateral agreements among the players. We apply the game to a Cournot environment with linear demand and constant average costs. We show that the final outcome of any Subgame Perfect Equilibrium of the game is the grand coalition, provided the initial number of firms is high enough and they are sufficiently patient.

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Publisher Info
Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 515.02.

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Length: 24
Date of creation: 14 Jun 2002
Date of revision:
Handle: RePEc:aub:autbar:515.02

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Related research
Keywords: Coalition Formation; Bilateral Agreements;

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

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References listed on IDEAS
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. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September. [Downloadable!] (restricted)
  2. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 60(2), pages 463-77, April. [Downloadable!] (restricted)
  3. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January. [Downloadable!] (restricted)
  4. Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May. [Downloadable!] (restricted)
  5. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March. [Downloadable!] (restricted)
    Other versions:
  6. Ray, D. & Vohra, R., 1996. "A Theory of Endogenous Coalition Structure," Papers 68, Boston University - Industry Studies Programme.
    Other versions:
  7. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July. [Downloadable!] (restricted)
  8. Gautam Gowrisankaran & Thomas J. Holmes, 2000. "Do mergers lead to monopoly in the long run? Results from the dominant firm model," Staff Report 264, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  9. Montero, M., 1999. "Coalition formation in games with externalities," Discussion Paper 121, Tilburg University, Center for Economic Research. [Downloadable!]
  10. Martin Pesendorfer, 2005. "Mergers Under Entry," RAND Journal of Economics, The RAND Corporation, vol. 36(3), pages 661-679, Autumn.
  11. Kamien, Morton I & Zang, Israel, 1990. "The Limits of Monopolization through Acquisition," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 465-99, May. [Downloadable!] (restricted)
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  12. Seidmann, Daniel J & Winter, Eyal, 1998. "A Theory of Gradual Coalition Formation," Review of Economic Studies, Blackwell Publishing, vol. 65(4), pages 793-815, October. [Downloadable!] (restricted)
  13. Nilssen, T. & Sorgard, L., 1995. "Sequential Horizontal Mergers," Memorandum 30/1995, Oslo University, Department of Economics.
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  14. repec:fth:tilbur:99121 is not listed on IDEAS
  15. 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. [Downloadable!] (restricted)
Full references

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. Juan Vidal-Puga, 2004. "Forming societies and the Shapley NTU value," Game Theory and Information 0401003, EconWPA. [Downloadable!]
  2. J. Peter Neary, 2004. "Cross-Border Mergers as Instruments of Comparative Advantage," cege – Center for European, Governance and Economic Development Research Discussion Papers 34, cege – Center for European, Governance and Economic Development Research, University of Goettingen (Germany).. [Downloadable!]
    Other versions:
  3. Fumagalli, Eileen & Vasconcelos, Helder, 2006. "Cross-Border Merger Waves," CEPR Discussion Papers 5601, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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