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 study a two-stage location-then-price game where consumers are distributed piecewise uniformly, each piece being referred to as an interval.Although the firms face a coordination problem, it is obvious that, for any given locations and prices, there is a unique indifferent...

AMS classification: 90D12

This note characterizes ordinal potential games by the absence of weak improvement cycles and an order condition on the strategy space.This order condition is automatically satisfied if the strategy space is countable.

A multi-choice game is a generalization of a cooperative game in which each player has several activity levels.This note provides several characterizations of the extended Shapley value as proposed by Derks and Peters (1993).Three characterizations are based on balanced contributions properties,...