PURSUIT AND EVASION DIFFERENTIAL GAMES IN HILBERT SPACE

Gafurjan I. Ibragimov () and Risman Mat Hasim ()
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Gafurjan I. Ibragimov: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor, 43400, Malaysia
Risman Mat Hasim: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor, 43400, Malaysia

International Game Theory Review (IGTR), 2010, vol. 12, issue 03, 239-251

Abstract: We consider pursuit and evasion differential game problems described by an infinite system of differential equations with countably many Pursuers in Hilbert space. Integral constraints are imposed on the controls of players. In this paper an attempt has been made to solve an evasion problem under the condition that the total resource of the Pursuers is less then that of the Evader and a pursuit problem when the total resource of the Pursuers greater than that of the Evader. The strategy of the Evader is constructed.

Keywords: Differential game; pursuit; evasion; strategy; 49N70; 49N75; 91A23 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0219198910002647

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