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Sequential Formation of Coalitions through Bilateral Agreements

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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.

Suggested Citation

  • 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).
  • Handle: RePEc:aub:autbar:515.02
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    1. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
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    5. Morton I. Kamien & Israel Zang, 1987. "The Limits of Monopolization Through Acquisition," Discussion Papers 754, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. repec:fth:tilbur:99121 is not listed on IDEAS
    7. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    9. 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.
    10. 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.
    11. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
    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. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
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    16. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
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    Cited by:

    1. Katharine A. Anderson, "undated". "Group Formation with a Network Constraint," GSIA Working Papers 2012-E49, Carnegie Mellon University, Tepper School of Business.
    2. J. Peter Neary, 2007. "Cross-Border Mergers as Instruments of Comparative Advantage," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1229-1257.
    3. Juan Vidal-Puga, 2004. "Forming societies and the Shapley NTU value," Game Theory and Information 0401003, EconWPA.
    4. Fumagalli, Eileen & Vasconcelos, Helder, 2006. "Cross-Border Merger Waves," CEPR Discussion Papers 5601, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Coalition Formation; Bilateral Agreements;

    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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