This study derives pure strategy Bertrand equilibria in a duopoly in which two firms produce a homogeneous good with convex cost functions and seek to maximize the weighted sum of their absolute and relative profits. The study shows that there exists a range of equilibrium prices in duopolistic...

The authors study pure strategy Bertrand equilibria in a duopoly in which two firms produce a homogeneous good with convex cost functions, and they seek to maximize the weighted sum of their absolute and relative profits. They show that there exists a range of the equilibrium price in...

We study implications of the choice of strategic variables, price or quantity, by firms in a duopoly with differentiated goods in which each firm maximizes its relative profit. We consider general demand and cost functions, and show that the choice of strategic variables is irrelevant in the...

We analyze Bertrand and Cournot equilibria in an asymmetric oligopoly in which the firms produce differentiated substitutable goods and seek to maximize their relative profits instead of their absolute profits. Assuming linear demand functions and constant marginal costs we show the following...

We investigate the relation between a Cournot equilibrium and a Bertrand equilibrium in a duopoly with differentiated substitutable goods in which each firm maximizes its relative profit that is the difference between its profit and the profit of the rival firm. We show that when firms maximize...

We study the choice of strategic variables by firms in a duopoly in which two firms produce differentiated substitutable goods and each firm maximizes its relative profit that is the difference between its profit and the profit of the rival firm. We consider a two stage game such that in the...

We study the Stackelberg equilibrium in a symmetric duopoly with differentiated goods in which each firm maximizes its relative profit that is the difference between its profit and the profit of the rival firm. We show that the equilibrium output and price of the good of the leader and those of...