Evasion Differential Games in the Space of Square Summable Sequences

Bekhzod Aminov and Marks Ruziboev ()
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Bekhzod Aminov: School of Engineering, Central Asian University, 264 Milliy, bog St, Tashkent 111221, Uzbekistan
Marks Ruziboev: School of Engineering, Central Asian University, 264 Milliy, bog St, Tashkent 111221, Uzbekistan

Games, 2024, vol. 15, issue 6, 1-6

Abstract: In this article, we consider simple-motion pursuit–evasion differential games in the Hilbert space of square summable sequences. We show that when the players have the same dynamic capabilities, evasion is possible under some assumptions about the initial positions of the players.

Keywords: Hilbert spaces; basis; pursuer; evader; pursuit–evasion games; evasion strategy (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2024
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