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A bargaining approach to the Owen value and the Nash solution with coalition structure

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  • Juan Vidal-Puga

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Abstract

The mechanism by Hart and Mas-Colell (1996) for non-transferable utility (NTU) games is generalized so that a coalition structure among players is taken into account. The new mechanism yields the Owen value for transferable utility (TU) games with coalition structure as well as the consistent value (Maschler and Owen 1989, 1992) for NTU games with trivial coalition structure. Furthermore, we obtain a solution for pure bargaining problems with coalition structure which generalizes the Nash (1950) bargaining solution. Copyright Springer-Verlag Berlin/Heidelberg 2005

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File URL: http://hdl.handle.net/10.1007/s00199-003-0446-4
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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 25 (2005)
Issue (Month): 3 (04)
Pages: 679-701

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Handle: RePEc:spr:joecth:v:25:y:2005:i:3:p:679-701

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Web page: http://link.springer.de/link/service/journals/00199/index.htm

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Related research

Keywords: Bargaining; NTU game; Coalition structure; Owen value; Nash solution.;

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Cited by:
  1. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, EconWPA.
  2. Ju, Y. & Wettstein, D., 2006. "Implementing Cooperative Solution Concepts: A Generalized Bidding Approach," Discussion Paper 2006-42, Tilburg University, Center for Economic Research.
  3. Bergantinos, G. & Casas-Mendez, B. & Fiestras-Janeiro, M.G. & Vidal-Puga, J.J., 2007. "A solution for bargaining problems with coalition structure," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 35-58, July.
  4. Zhang, Xiaodong, 2009. "A note on the group bargaining solution," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 155-160, March.
  5. Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA.
  6. Galizzi, Matteo M. & Miraldo, Marisa, 2011. "The effects of hospitals' governance on optimal contracts: Bargaining vs. contracting," Journal of Health Economics, Elsevier, vol. 30(2), pages 408-424, March.
  7. Juan Vidal-Puga, 2004. "Negotiating the membership," Game Theory and Information 0409003, EconWPA.
  8. Kamijo, Yoshio, 2008. "Implementation of weighted values in hierarchical and horizontal cooperation structures," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 336-349, November.

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