We examine a model of price competition with strictly convex costs where the firms simultaneously decide on both price and quantity, are free to supply less than the quantity demanded, and there is discrete pricing. If firms are symmetric then, for a large class of residual demand functions,...

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...

I study a directed search model of oligopolistic competition, extended to incorporate general capacity constraints, congestion effects, and pricing based on ex-post realized demand. I show that as long as any one of these ingredients is present, the Bertrand paradox will fail to hold. Hence, I...

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...

This paper analyzes price competition in the case of two firms operating under constant returns to scale with more than one production factor. Factors are chosen sequentially in a two-stage game implying a convex short term cost function in the second stage of the game. We show that the...

I study a directed search model of oligopolistic competition, extended to incorporate general capacity constraints, congestion effects, and pricing based on ex-post realized demand. I show that as long as any one of these ingredients is present, the Bertrand paradox will fail to hold. Hence, I...

We examine the novel concept for repeated noncooperative games with bounded rationality: \Nash-2" equilibrium, called also \threatening-proof prole" in [16, Iskakov M., Iskakov A., 2012b]. It is weaker than Nash equilibrium and equilibrium in secure strategies: a player takes into account not...

This paper studies the consequence of an imprecise recall of the price by the consumers in the Bertrand price competition model for a homogeneous good. It is shown that firms can exploit this weakness and charge prices above the competitive price. This markup increases for rougher recall of the...

We show that there is a unique correlated equilibrium, identical to the unique Nash equilibrium, in the classic Bertrand oligopoly model with homogenous goods. This provides a theoretical underpinning for the so-called "Bertrand paradox" and also generalizes earlier results on mixed-strategy...

We analyze the effect of price caps on equilibrium production and welfare in oligopoly under demand uncertainty. We find that high price caps always increase production and welfare as compared to the situation without price cap. Price caps close to marginal cost may lead to zero production,...