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Sequential Formation of Coalitions Through Bilateral Agreements in a Cournot Setting


  • Inés Macho-Stadler


  • David Pérez-Castrillo


  • Nicolás Porteiro



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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Suggested Citation

  • Inés Macho-Stadler & David Pérez-Castrillo & Nicolás Porteiro, 2006. "Sequential Formation of Coalitions Through Bilateral Agreements in a Cournot Setting," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(2), pages 207-228, August.
  • Handle: RePEc:spr:jogath:v:34:y:2006:i:2:p:207-228 DOI: 10.1007/s00182-006-0017-6

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    References listed on IDEAS

    1. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    2. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 185-199.
    3. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
    4. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    5. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    6. 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.
    7. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
    8. 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.
    9. 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.
    10. repec:fth:tilbur:99121 is not listed on IDEAS
    11. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    12. Daniel J. Seidmann & Eyal Winter, 1998. "A Theory of Gradual Coalition Formation," Review of Economic Studies, Oxford University Press, vol. 65(4), pages 793-815.
    13. 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.
    14. Morton I. Kamien & Israel Zang, 1990. "The Limits of Monopolization Through Acquisition," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 465-499.
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    Cited by:

    1. Vidal-Puga, Juan J., 2008. "Forming coalitions and the Shapley NTU value," European Journal of Operational Research, Elsevier, vol. 190(3), pages 659-671, November.
    2. Fumagalli, Eileen & Nilssen, Tore, 2008. "Waiting to Merge," Memorandum 13/2008, Oslo University, Department of Economics.
    3. Audy, Jean-François & D’Amours, Sophie & Rönnqvist, Mikael, 2012. "An empirical study on coalition formation and cost/savings allocation," International Journal of Production Economics, Elsevier, vol. 136(1), pages 13-27.

    More about this item


    Coalition formation; Bilateral agreements; Cournot; C72; D62; D40;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General


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