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...

We compare formulations of relative profit maximization in duopoly with differentiated goods, 1) (Difference case) maximization of the difference between the profit of one firm and that of the other firm, 2) (Ratio case) maximization of the ratio of the profit of one firm to the total profit. We...

We compare two formulations of relative profit maximization in duopoly with differentiated goods: (1) (difference case) maximization of the difference between the profit of one firm and that of the other firm and (2) (ratio case) maximization of the ratio of the profit of one firm to the total...

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...

This paper explores an export subsidy game in an international duopoly in which governments of countries as well as firms hold conjectures about the response of other governments. In the framework with linear demand/quadratic cost functions, a homogeneous good and no home consumption, I shall...

Consider an oligopolistic industry composed of two groups (or populations) of firms, the low cost firms and the high cost firms. The firms produce a homogeneous good. I study the finite population evolutionarily stable strategy defined by Schaffer (1988), and the long run equilibrium in the...