In this paper we consider the location of the eigenvalues of the composite matrix ( -A S1 S2 ) ( Q1 At 0 ) ( Q2 0 At ) , where the matrices Si and Qi are assumed to be semi-positive definite. Two interesting observations, which are not or only partially mentioned in literature before, challenge...

The aim of the present study is to construct a state feedback controller for a given linear system that minimizes the worst-case effect of an L2 -bounded disturbance. Our setting is different from the usual framework of H -theory in that we consider nonzero initial conditions. The situation is...

In this paper we consider open-loop Nash equilibria of the linear-quadratic differential game.As well the finite-planning-horizon, the infinite-planning horizon as convergence properties of the finite-planning-horizon equilibrium if the planning horizon is extended to infinity are...

We describe non-cooperative game models and discuss game theoretic solution<br/>concepts. Some applications are also noted. Conventional theory focuses on the<br/>question ‘how will rational players play?’, and has the Nash equilibrium at its core.<br/>We discuss this concept and its interpretations, as...

This paper introduces a simple extensive form pricing game.The Bertrand outcome is a Nash equilibrium outcome in this game, but it is not necessarily subgame perfect.The subgame perfect equilibrium outcome features the following comparative static properties.The more similar firms are, the...

This paper analyzes convex congestion network problems.It is shown that for network problems with convex congestion costs, an algorithm based on a shortest path algorithm, can be used to find an optimal network for any coalition. Furthermore an easy way of determining if a given network is...