Linear Quadratic Games: An Overview
CentER Discussion Paper Series No. 2006-110
31 Pages Posted: 24 Nov 2006
Date Written: October 2006
Abstract
In this paper we review some basic results on linear quadratic differential games. We consider both the cooperative and non-cooperative case.For the non-cooperative game we consider the open-loop and (linear) feedback information structure. Furthermore the effect of adding uncertainty is considered. The overview is based on [9]. Readers interested in detailed proofs and additional results are referred to this book.
Keywords: linear-quadratic games, Nash equilibrium, affine systems, solvability conditions, Riccati equations
JEL Classification: C61, C72, C73
Suggested Citation: Suggested Citation
Engwerda, Jacob C., Linear Quadratic Games: An Overview (October 2006). CentER Discussion Paper Series No. 2006-110, Available at SSRN: https://ssrn.com/abstract=946938 or http://dx.doi.org/10.2139/ssrn.946938
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