On the existence of Nash strategies and solutions to coupled riccati equations in linear-quadratic games

Papavassilopoulos, G; Medanic, J; Cruz, J

dc.contributor.author	Papavassilopoulos, G	en
dc.contributor.author	Medanic, J	en
dc.contributor.author	Cruz, J	en
dc.date.accessioned	2014-03-01T01:37:57Z
dc.date.available	2014-03-01T01:37:57Z
dc.date.issued	1979	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21869
dc.subject	Fixed Point Theorem	en
dc.subject	Matrix Equation	en
dc.subject	riccati equation	en
dc.subject	Linear Quadratic	en
dc.title	On the existence of Nash strategies and solutions to coupled riccati equations in linear-quadratic games	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00933600	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00933600	en
heal.publicationDate	1979	en
heal.abstract	The existence of linear Nash strategies for the linear-quadratic game is considered. The solvability of the coupled Riccati matrix equations and the stability of the closed-loop matrix are investigated by using Brower's fixed-point theorem. The conditions derived state that the linear closed-loop Nash strategies exist, if the open loop matrixA has a sufficient degree of stability which is determined in	en
heal.journalName	Journal of Optimization Theory and Applications	en
dc.identifier.doi	10.1007/BF00933600	en