Xeniya Grigorieva, Svetlana Mamkina, “Solutions of Bimatrix Coalitional Games”, Contributions to Game Theory and Management, 2009, Volume 2,Pages <nobr>147

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.

Language: English