Theories of pursuit and evasion
type: Item
instance of: scholarly article
title: Theories of pursuit and evasion
zbMATH Open document ID: 0619.90105
DOI: 10.1007/BF00939412
author: Jan Mycielski
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: We give three elementary definitions of the value of a game of pursuit and evasion in an arbitrary metric space. Our definitions are independent from the theory of differential games. We prove that the three definitions yield the same value of the game, and we study this value as a function of the initial positions of the players and their velocities. Several open problems are stated.
Mathematics Subject Classification ID: 91A24
zbMATH DE Number: 4006033
zbMATH Keywords: pursuit and evasion
zbMATH Keywords: metric space
MaRDI profile type: Publication
cites work: Q5521269
cites work: Q5338626
cites work: Q5611743
cites work: Existence of a value in games governed by generalized differential equations
cites work: Existence of Value in Generalized Pursuit-Evasion Games
cites work: On convex metric spaces IV
cites work: Borel determinacy
cites work: Q5342877
cites work: An example in pursuit theory
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full work available at URL: https://doi.org/10.1007/bf00939412
OpenAlex ID: W2064132840
description: scientific article; zbMATH DE number 4006033