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Sequential Formation of Coalitions through Bilateral Agreements in a Cournot Setting

Author

Listed:
  • 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)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:pab:wpaper:06.01
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    References listed on IDEAS

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    1. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
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    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. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    6. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    7. 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.
    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," The Review of Economic Studies, Review of Economic Studies Ltd, 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.
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    Cited by:

    1. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    2. J-F Audy & S D’Amours & L-M Rousseau, 2011. "Cost allocation in the establishment of a collaborative transportation agreement—an application in the furniture industry," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 960-970, June.
    3. Fumagalli, Eileen & Nilssen, Tore, 2008. "Waiting to Merge," Memorandum 13/2008, Oslo University, Department of Economics.
    4. 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.
    5. Eileen Fumagalli & Tore Nilssen, 2019. "Sweetening the Pill: a Theory of Waiting to Merge," Journal of Industry, Competition and Trade, Springer, vol. 19(3), pages 351-388, September.
    6. Basso, Franco & Basso, Leonardo J. & Rönnqvist, Mikael & Weintraub, Andres, 2021. "Coalition formation in collaborative production and transportation with competing firms," European Journal of Operational Research, Elsevier, vol. 289(2), pages 569-581.
    7. 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.

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    More about this item

    Keywords

    Coalition formation; bilateral agreements; Cournot.;
    All these keywords.

    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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