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The Optimal Trajectory in the Partial-Cooperative Game

  • Onik Mikaelyan
  • Rafik Khachaturyan
Part of the Annals of the International Society of Dynamic Games book series (AISDG, volume 9)

Abstract

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.

Keywords

Nash Equilibrium Cooperative Game Optimal Trajectory Cooperative Behavior Coalition Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    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
  2. [2]
    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
  3. [3]
    Chih-Ru Hsiao, Raghavan T. The ShapleyValue for Multi-Choice Cooperative Games (I). Games and Economic Behavior, 1993. Vol. 5, pp. 240–256.MATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    Nash J. F. Equilibrium points in n-person games. Proc. Nat. Acad. Sci. U.S.A., 36, 48–49, 1950.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Birkhäuser Boston 2007

Authors and Affiliations

  • Onik Mikaelyan
    • 1
  • Rafik Khachaturyan
    • 1
  1. 1.Department of MechanicsYerevan State UniversityYerevanRepublic of Armenia

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