On equilibria in duopolies with finite strategy spaces

Abstract

We will call a game a reachable (pure strategy) equilibria game if starting from any strategy by any player, by a sequence of best-response moves we are able to reach a (pure strategy) equilibrium. We give a characterization of all finite strategy space duopolies with reachable equilibria. We describe some applications of the sufficient conditions of the characterization.duopoly, equilibria, revenue management, discrete-choice theory