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Sequential Formation of Coalitions through Bilateral Agreements

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  • Inés Macho-Stadler
  • David Pérez-Castrillo
  • Nicolás Porteiro

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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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 84.

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Date of creation: Sep 2003
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Handle: RePEc:bge:wpaper:84

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Keywords: coalition formation; bilateral agreements; cournot;

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References

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  1. 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.
  2. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
  3. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  4. 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.
  5. Nilssen, Tore & Sorgard, Lars, 1998. "Sequential horizontal mergers," European Economic Review, Elsevier, vol. 42(9), pages 1683-1702, November.
  6. repec:fth:tilbur:99121 is not listed on IDEAS
  7. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  9. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
  10. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
  11. Gautam Gowrisankaran & Thomas J. Holmes, 2002. "Do Mergers Lead to Monopoly in the Long Run? Results from the Dominant Firm Model," NBER Working Papers 9151, National Bureau of Economic Research, Inc.
  12. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  13. 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.
  14. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  15. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March.
  16. Seidmann, Daniel J & Winter, Eyal, 1998. "A Theory of Gradual Coalition Formation," Review of Economic Studies, Wiley Blackwell, vol. 65(4), pages 793-815, October.
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Citations

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Cited by:
  1. Fumagalli, Eileen & Vasconcelos, Helder, 2006. "Cross-Border Merger Waves," CEPR Discussion Papers 5601, C.E.P.R. Discussion Papers.
  2. Juan Vidal-Puga, 2004. "Forming societies and the Shapley NTU value," Game Theory and Information 0401003, EconWPA.
  3. Neary, J. Peter, 2004. "Cross-Border Mergers as Instruments of Comparative Advantage," Center for European, Governance and Economic Development Research Discussion Papers 34, University of Goettingen, Department of Economics.
  4. Katharine A. Anderson, . "Group Formation with a Network Constraint," GSIA Working Papers 2012-E49, Carnegie Mellon University, Tepper School of Business.

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