On a Fixed Duration Pursuit Differential Game with Geometric and Integral Constraints

In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers a...

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Bibliographic Details
Published in:Dynamic games and applications 2016-09, Vol.6 (3), p.409-425
Main Authors: Salimi, Mehdi, Ibragimov, Gafurjan I., Siegmund, Stefan, Sharifi, Somayeh
Format: Article
Language:English
Subjects:
Communications Engineering
Computer Systems Organization and Communication Networks
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Game Theory
Management Science
Mathematics
Mathematics and Statistics
Networks
Operations Research
Social and Behav. Sciences
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Summary:In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to integral constraints, and the controls of the other pursuers and the evader are subject to geometric constraints. The payoff of the game is the distance between the evader and the closest pursuer when the game is terminated. We construct optimal strategies for players and find the value of the game.
ISSN:2153-0785
2153-0793
DOI:10.1007/s13235-015-0161-3