A pursuit-evasion differential game with many pursuers and one evader
We study a pursuit-evasion differential game of many players with geometric constraints being imposed on the control parameters of players. Game is described by an infinite system of differential equations of second order in Hilbert space. Duration of the game is fixed. Payoff is the infimum of the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12798/1/A%20Pursuit-Evasion%20Differential%20Game%20with%20Many%20Pursuers%20and.pdf |
| Summary: | We study a pursuit-evasion differential game of many players with geometric constraints being imposed on the control parameters of players. Game is described by an infinite system of differential equations of second order
in Hilbert space. Duration of the game is fixed. Payoff is the infimum of the distances between the evader and
pursuers when the game is terminated. The pursuers’ goal
is to minimize the payoff, and the evader's goal is to maximize it. A condition to find the value of the
differential game is obtained. Optimal strategies of players are also constructed. |
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