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...

The Fehmarn Belt is a strait between Denmark and Germany, currently served by a ferry. This note analyses the theory of competition between the ferry and a planned tunnel, the Fehmarn Belt Fixed Link. The model is an asymmetric duopoly and addresses two questions: 1. Will the tunnel induce the...

The Fehmarn Belt is a strait between Denmark and Germany, currently served by a ferry. This note analyses the theory of competition between the ferry and a planned tunnel, the Fehmarn Belt Fixed Link. The model is an asymmetric duopoly and addresses two questions: 1. Will the tunnel induce the...

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...

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...

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 the equilibrium with the quantity setting behavior and price setting behavior of firms in a duopoly under relative profit maximization with constant conjectural variations, and arrive at the following results. 1) Conjectural variations of firms are irrelevant to the equilibrium of a...

We study a symmetric free entry oligopoly in which firms produce differentiated goods so as to maximize their relative profits. The relative profit of each firm is the difference between its profit and the average of the profits of other firms. We show that whether firms determine their outputs...