Stochastic pursuit-evasion differential games in the plane
type: Item
instance of: scholarly article
title: Stochastic pursuit-evasion differential games in the plane
zbMATH Open document ID: 0577.90106
DOI: 10.1007/BF00938634
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: Four stochastic pursuit-evasion differential games involving two players, P and E, moving in the plane are considered. The difference between the games lies in their information structures. In each of the games, sufficient conditions on optimal feedback strategies, in the cases of complete information, and on weak optimal feedback strategies, in the cases of incomplete information, are derived. Optimal strategies are computed for the cases of complete information and weak suboptimal strategies for the cases of incomplete information. The results indicate that the correct measurement of the direction of the segment PE is more important than the measurement of the distance (P,E).
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A99
Mathematics Subject Classification ID: 91A60
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 3924561
zbMATH Keywords: planar games
zbMATH Keywords: stochastic pursuit-evasion differential games
zbMATH Keywords: optimal feedback strategies
zbMATH Keywords: complete information
zbMATH Keywords: incomplete information
zbMATH Keywords: weak suboptimal strategies
zbMATH Keywords: computation of optimal strategies
author: Y. Yavin
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00938634
OpenAlex ID: W1999884485
description: scientific article; zbMATH DE number 3924561