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Sequential Formation of Coalitions through Bilateral Agreements in a Cournot Setting

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Author Info
Inés Macho-Stadler () (Department of Economics, Universidad Autónoma de Barcelona)
David Pérez-Castrillo () (Department of Economics, Universidad Autónoma de Barcelona)
Nicolás Porteiro () (Department of Economics, Universidad Pablo de Olavide)

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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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File URL: http://www.upo.es/serv/bib/wps/econ0601.pdf
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Publisher Info
Paper provided by Universidad Pablo de Olavide, Departamento de Economía in its series Working Papers with number 06.01.

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Length: 30 pages
Date of creation: Feb 2006
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Handle: RePEc:pab:wpaper:06.01

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Related research
Keywords: Coalition formation bilateral agreements Cournot.

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D62 - Microeconomics - - Welfare Economics - - - Externalities
D40 - Microeconomics - - Market Structure and Pricing - - - General

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  1. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January. [Downloadable!] (restricted)
  2. 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)
    Other versions:
  3. Houston, Joel F. & James, Christopher M. & Ryngaert, Michael D., 2001. "Where do merger gains come from? Bank mergers from the perspective of insiders and outsiders," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 285-331, May. [Downloadable!] (restricted)
  4. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July. [Downloadable!] (restricted)
  5. 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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  6. Montero, M., 1999. "Coalition formation in games with externalities," Discussion Paper 121, Tilburg University, Center for Economic Research. [Downloadable!]
  7. Martin Pesendorfer, 2005. "Mergers Under Entry," RAND Journal of Economics, The RAND Corporation, vol. 36(3), pages 661-679, Autumn.
  8. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September. [Downloadable!] (restricted)
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  9. 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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  10. 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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  11. 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)
  12. Gautam Gowrisankaran & Thomas J. Holmes, 2004. "Mergers and the Evolution of Industry Concentration: Results from the Dominant-Firm Model," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 561-582, Autumn.
  13. repec:fth:tilbur:99121 is not listed on IDEAS
  14. 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)
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