This paper demonstrates that the Bertrand paradox does not hold if cost functions are strictly convex. Instead, multiple equilibria exist which can be Pareto-ranked. The paper shows that the Pareto-dominant equilibrium may imply profus higher than in Cournot competition or may even sustain...

We model a player’s uncertainty about other players’ strategy choices as smooth probability distributions over their strategy sets. We call a strategy profile (strictly) robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence (all sequences) of strategy...

In an oligopoly configuration characterized by high barriers to (re-)entry, a finite horizon, perfect information about demand and costs and the presence of three identical firms, we show that two of them (the predators) can choose to charge an initial price that is so low that the third (the...