The Optimal Trajectory in the Partial-Cooperative Game
This chapter investigates a partially cooperative game in an extended form. The method of finding the optimal behavior of players and the value for such games are presented. During the course of the game, auxiliary games and Nash’s equilibrium situations are considered to define the distribution between players of a coalition. An example is also presented.
KeywordsNash Equilibrium Cooperative Game Optimal Trajectory Cooperative Behavior Coalition Structure
Unable to display preview. Download preview PDF.
- Petrosyan L., Ayoshin D. The Value of Dynamic Games with Partial-Cooperation (Rus.). Proceedings of the Institute of MathematicsAnd Mechanics Ur. D. of RAS. Vol. 6, pp. 160–172, 2000.Google Scholar
- Ayoshin D., Tanaka T. The Core And the Dominance Core in Multi-Choice Multistage Games with Coalitions in a Matrix Form. Submitted to the Proceedings of NACA98 (International Conference on Nonlinear Analysis and Convex Analysis), 1998.Google Scholar