Group Differential Games for Multiparameter Singularly Perturbed Systems
| Authors: | Mukaidani Hiroaki, Hiroshima University, Japan
Xu Hua, The University of Tsukuba, Japan
Mizukami Koich, Hiroshima Kokusai Gakuin University, Japan |
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| Topic: | 2.4 Optimal Control |
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| Session: | Dynamic Games: Theory and Numerical Methods |
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| Keywords: | Singular perturbations, Differential games, Equilibrium, Systems concepts, Approximate analysis, Matrix equations. |
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Abstract
In this paper, a group differential game problem is formulated using the system model of multiparameter singularly perturbed systems (MSPS). The case that there exist two groups of players with a conflict interest in the game is considered, and the players in each group must make their own decisions by taking into account the group interest. A method is proposed to find the approximate strategy for every player which will lead to a near saddle-point equilibrium.
