\(N\)-person differential games governed by infinite-dimensional systems
type: Item
instance of: scholarly article
title: \(N\)-person differential games governed by infinite-dimensional systems
zbMATH Open document ID: 0577.90099
DOI: 10.1007/BF00938630
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: This paper discusses \(N\)-person differential games governed by infinite-dimensional systems. The minimax principle, which is a necessary condition for the existence of open-loop equilibrium strategies, is proved. For linear-quadratic \(N\)-person differential games, global necessary and sufficient conditions for the existence of open-loop and closed-loop equilibrium strategies are derived.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 3924554
zbMATH Keywords: \(N\)-person differential games
zbMATH Keywords: infinite-dimensional systems
zbMATH Keywords: minimax principle
zbMATH Keywords: existence of open-loop equilibrium strategies
zbMATH Keywords: linear-quadratic \(N\)-person differential games
author: Xunjing Li
MaRDI profile type: Publication
cites work: Q5512715
cites work: Q5512716
cites work: Necessary Conditions for Optimal Strategies in a Class of Differential Games and Control Problems
cites work: Q5611348
cites work: The Existence of Value and Saddle Point in Games of Fixed Duration
cites work: Differential Games of Generalized Pursuit and Evasion
cites work: The convergence problem for differential games
cites work: Q5510093
cites work: Q5638152
cites work: Linear-quadratic differential games with non-zero sum and with N players
cites work: Toward a Theory of Many Player Differential Games
cites work: Nonexistence and nonuniqueness of open-loop equilibria in linear- quadratic differential games
cites work: A global theory for linear-quadratic differential games
cites work: Necessary Conditions for Optimal Strategies in a Class of Noncooperative N-Person Differential Games
cites work: Nonzero-sum differential games
cites work: Further properties of nonzero-sum differential games
cites work: N-Person Nonzero Sum Differential Games with Linear Dynamics
cites work: Q5595510
cites work: Q4096750
cites work: Positional control in parabolic systems
cites work: Q4147941
cites work: Note on noncooperative convex games
cites work: Optimal control for linear systems with a quadratic indefinite criterion on Hilbert spaces
full work available at URL: https://doi.org/10.1007/bf00938630
OpenAlex ID: W2016099484
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description: scientific article; zbMATH DE number 3924554