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...

In this note we reconsider the indefinite open-loop Nash linear quadratic differential game with an infinite planning horizon.In particular we derive both necessary and sufficient conditions under which the game will have a unique equilibrium.

In this note we consider the open-loop Nash linear quadratic differential game with an infinite planning horizon.The performance function is assumed to be indefinite and the underlying system affine.We derive both necessary and sufficient conditions under which this game has a unique Nash...

In this paper we analyse the set of scalar algebraic Riccati equations (ARE) that play an important role in finding feedback Nash equilibria of the scalar N-player linear-quadratic differential game. We show that in general there exist maximal 2N - 1 solutions of the (ARE) that give rise to a...

This paper analyzes time-consistent subsidies in industries with strong learning effects and frequent entry and exit. Structural dynamics create opportunities for strategic behavior: by influencing government policies, infant firms can reduce their tax burden and weaken future competitors. Two...

We will show by means of an example that, stated this way, this assertion is in general not correct. Therefore, we reconsider in this paper first the conditions under which the finite-planning- horizon linear-quadratic differential game has an open-loop Nash equilibrium solution. We present both...