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 relation between a Cournot equilibrium and a Bertrand equilibrium in an emph{asymmetric} 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. Both demand and cost functions are...