A stochastic pursuit-evasion differential game on a torus: A numerical solution
type: Item
instance of: scholarly article
title: A stochastic pursuit-evasion differential game on a torus: A numerical solution
zbMATH Open document ID: 0589.90105
DOI: 10.1016/0045-7825(87)90105-8
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: A stochastic pursuit-evasion differential game, involving two players, E and P, moving in an annular domain in \({\mathbb{R}}^ 2\) is considered. The state space of the game turns out to be a torus in \({\mathbb{R}}^ 3\). Sufficient conditions on optimal strategies are given and these are computed for a variety of cases. A numerical study leads to simple characterizations of optimal and suboptimal strategies.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A99
Mathematics Subject Classification ID: 91A60
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A15
zbMATH DE Number: 3948046
zbMATH Keywords: stochastic pursuit-evasion differential game
zbMATH Keywords: annular domain
zbMATH Keywords: torus
zbMATH Keywords: sufficient conditions an optimal strategies
zbMATH Keywords: numerical study
zbMATH Keywords: optimal and suboptimal strategies
author: Y. Yavin
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90105-8
OpenAlex ID: W2118541486
cites work: Qualitative differential games with two targets
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description: scientific article; zbMATH DE number 3948046