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...

In this paper we characterize the subgame perfect Nash equilibria of a location-then-price game where firms first choose locations and after that compete for prices in two subsequent periods. Locations are thus seen as long term commitments. There are two types of consumers, each with different...

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...

In this paper, we analyze a variant of the standard Hotelling model of spatial competition where firms first choose locations along the line and then, given these locations, compete in prices.Consumers have a finite reservation price and incur a quadratic transportation cost.We show that there...

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...