Geodesic
Solutions of Bimatrix Coalitional Games
Contributions to game theory and management, Tome 2 (2009), pp. 147-153.

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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. 
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Xeniya Grigorieva; Svetlana Mamkina. Solutions of Bimatrix Coalitional Games. Contributions to game theory and management, Tome 2 (2009), pp. 147-153. http://geodesic.mathdoc.fr/item/CGTM_2009_2_a12/

[1] Petrosjan L., Mamkina S., “Dynamic Games with Coalitional Structures”, Intersectional Game Theory Review, 8:2 (2006), 295–307 | DOI | MR | Zbl

[2] Nash J., “Non-cooperative Games”, Ann. Mathematics, 54 (1951), 286–295 | DOI | MR | Zbl

[3] Shapley L. S., “A Value for $n$-Person Games”, Contributions to the Theory of Games, eds. Kuhn H. W., Tucker A. W., Princeton University Press, 1953, 307–317 | MR

[4] Petrosjan L., Zenkevich N., Semina E., The Game Theory, High School, M., 1998