Informational uniqueness of closed-loop Nash equilibria for a class of nonstandard dynamic games
type: Item
instance of: scholarly article
title: Informational uniqueness of closed-loop Nash equilibria for a class of nonstandard dynamic games
zbMATH Open document ID: 0548.90099
DOI: 10.1007/BF00939146
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: This paper discusses an extension of the currently available theory of noncooperative dynamic games to game models whose state equations are of order higher than one. In a discrete-time framework, it first elucidates the reasons why the theory developed for first-order systems is not applicable to higher-order systems, and then presents a general procedure to obtain an informationally unique Nash equilibrium solution in the presence of random disturbances. A numerical example solved in the paper illustrates the general approach.
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91A60
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 3875007
zbMATH Keywords: second-order systems
zbMATH Keywords: stochastic dynamics
zbMATH Keywords: closed-loop information pattern
zbMATH Keywords: noncooperative dynamic games
zbMATH Keywords: discrete-time framework
zbMATH Keywords: higher- order systems
zbMATH Keywords: informationally unique Nash equilibrium solution
zbMATH Keywords: random disturbances
author: Tamer Başar
MaRDI profile type: Publication
cites work: On the uniqueness of the Nash solution in linear-quadratic differential games
cites work: Decentralized multicriteria optimization of linear stochastic systems
full work available at URL: https://doi.org/10.1007/bf00939146
OpenAlex ID: W94558806
description: scientific article; zbMATH DE number 3875007