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Contributions to Game Theory and Management, 2009, Volume 2, Pages 147–153
(Mi cgtm46)
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Solutions of Bimatrix Coalitional Games
Xeniya Grigorieva, Svetlana Mamkina St. Petersburg State University,
Faculty of Applied Mathematics and Control Processes,
University pr. 35, St. Petersburg, 198504, Russia
Abstract:
The PMS-vector is defined and computed in (Petrosjan and Mamkina, 2006) for coalitional games with perfect information. Generalizati-on of the PMS-vector for the case of Nash equilibrium (NE) in mixed strategies is proposed in this paper.
Keywords:
bimatrix games, coalitional partition, Nash equilibrium, Shapley value, PMS-vector, games with perfect information.
Citation:
Xeniya Grigorieva, Svetlana Mamkina, “Solutions of Bimatrix Coalitional Games”, Contributions to Game Theory and Management, 2 (2009), 147–153
Linking options:
https://www.mathnet.ru/eng/cgtm46 https://www.mathnet.ru/eng/cgtm/v2/p147
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| Statistics & downloads: |
| Abstract page: | 403 | | Full-text PDF : | 159 | | References: | 54 |
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