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...

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 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...

It is proved that the irrelevance result of Poyago-Theotoky can be extended from the linear-quadratic case to general inverse demand and cost functions. Hence, as long as firms are profitable at the first-best, the optimal subsidy decentralizes it in mixed oligopoly irrespecitve of whether the...

It is proved that the irrelevance result of Poyago-Theotoky can be extended from the linear-quadratic case to general inverse demand and cost functions. Hence, as long as firms are profitable at the first-best, the optimal subsidy decentralizes it in mixed oligopoly irrespecitve of whether the...

White (1996), Poyago-Theotoky (2001) and Myles (2002) prove that in the mixed oligopoly the optimal subsidy, equilibrium output level, all firms' profits and social welfare are identical irrespective of whether the public firm maximizes welfare or profit and moves simultaneously with private...

White (1996), Poyago-Theotoky (2001) and Myles (2002) prove that in the mixed oligopoly the optimal subsidy, equilibrium output level, all firms' profits and social welfare are identical irrespective of whether the public firm maximizes welfare or profit and moves simultaneously with private...