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A Focal-Point Solution for Bargaining Problems with Coalition Structure

  • Gustavo Bergantiños

    (Universidade de Vigo)

  • Balbina Casas- Méndez

    (Universidade de Santiago de Compostela)

  • Gloria Fiestras- Janeiro

    (Universidade de Vigo)

  • Juan Vidal-Puga

    (Universidade de Vigo)

In this paper we study the restriction, to the class of bargaining problems with coalition structure, of several values which have been proposed on the class of non-transferable utility games with coalition structure. We prove that all of them coincide with the solution independently studied in Chae and Heidhues (2004) and Vidal-Puga (2005a). Several axiomatic characterizations and two noncooperative mechanisms are proposed.

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File URL: http://econwpa.repec.org/eps/game/papers/0511/0511006.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 0511006.

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Length: 31 pages
Date of creation: 16 Nov 2005
Date of revision:
Handle: RePEc:wpa:wuwpga:0511006
Note: Type of Document - pdf; pages: 31
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA.
  2. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  3. Winter, Eyal, 1991. "On Non-transferable Utility Games with Coalition Structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(1), pages 53-63.
  4. Suchan Chae & Hervé Moulin, 2010. "Bargaining among groups: an axiomatic viewpoint," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 71-88, March.
  5. Geoffroy de Clippel & Hans Peters & Horst Zank, 2004. "Axiomatizing the Harsanyi solution, the symmetric egalitarian solution and the consistent solution for NTU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 145-158, January.
  6. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March.
  7. Krasa, Stefan & Temimi, Akram & Yannelis, Nicholas C., 2003. "Coalition structure values in differential information economies: is unity a strength?," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 51-62, February.
  8. Chae, Suchan & Heidhues, Paul, 2004. "A group bargaining solution," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 37-53, July.
  9. Borm, P.E.M. & Keiding, H. & McLean, R.P. & Oortwijn, S. & Tijs, S.H., 1992. "The compromise value for NTU-games," Discussion Paper 1992-18, Tilburg University, Center for Economic Research.
  10. Ehud Kalai & Dov Samet, 1983. "Monotonic Solutions to General Cooperative Games," Discussion Papers 567, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Sergiu Hart, 1983. "An Axiomatization of Harsanyi's Non-Transferable Utility Solution," Discussion Papers 573, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Juan Vidal-Puga, 2005. "A bargaining approach to the Owen value and the Nash solution with coalition structure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 679-701, 04.
  13. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
  14. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "The NTU consistent coalitional value," Game Theory and Information 0303007, EconWPA.
  15. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 389-407.
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