Pursuit-Evasion Differential Game with Many Inertial Players
نویسندگان
چکیده
منابع مشابه
Pursuit-Evasion Differential Game with Many Inertial Players
We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the functional, and the evader tries to maximize i...
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We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize ...
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We consider an evasion differential game of many pursuers and one evader with integral constraints in the plane. The game is described by simple equations. Each component of the control functions of players is subjected to integral constraint. Evasion is said to be possible if the state of the evader does not coincide with that of any pursuer. Strategy of the evader is constructed based on cont...
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For the games of pursuit evasion with antagonizing players (PEAP), the following three stages have been proposed in [Ge et al., 2007]: detection, attack and engagement, in which the roles of the two players are symmetric and each one is meant to search and attack its opponent. In the general framework established in our previous work, while the fundamental concepts, such as detectability, for t...
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In a pursuit evasion game, the pursuer tries to capture the evader while the evader tries to prevent this capture. A classical approach is to model this game as an infinite differential game. In this report, we model a pursuit-evasion game as a finite extensive form game, and show that the differential game is a generalization of this game. We prove that a pure-strategy Nash equilibrium always ...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2009
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2009/653723