We want to take a differential game approach with price dynamics to conduct an investigation into the consequences of horizontal merger of firms where the demand function is nonlinear. We take into consideration the open-loop equilibrium. We show that in relation to the fact that the demand is...

We characterize the equilibrium in a homogeneous good Cournot duopoly in which firms have the choice to react to a cost-push shock by paying a lump-sum adjustment cost in order to offset the initial rise in marginal cost. Our results show that the size of the shock and the size of the adjustment...

We show that the standard argument according to which supply function equilibria rank intermediate between Bertrand and Cournot equilibria may be reversed. We prove this result within a static oligopolistic game in which both supply function competition and Cournot competition yield a unique...

We show that supply functions cannot be classified as either strategic complements or substitutes according to the twofold criterion advanced by Bulow et al. (1985). This is because while the slope of the best reply is univocally positive, this is not the case with the sign of the cross...

In this note we revisit the result by Menezes and Quiggin (2012), showing that under linear supply function competition, the same Nash equilibrium results when arms choose slopes or intercepts of their supply functions. This is because the first order conditions emerging in the two strategy...