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...

This paper studies the choice of strategic variables by firms in a symmetric oligopoly in which each firm produces differentiated goods and maximizes its relative profit that is the difference between its profit and the average profit of the other firms. We consider a two stage game such that in...

We consider a two-person zero-sum game with two sets of strategic variables which are related by invertible functions. They are denoted by (sA, sB) and (tA, tB) for players A and B. We will show that the following four patterns of competition are equivalent, that is, they yield the same outcome....

We consider a two-person zero-sum game with two sets of strategic variables which are related by invertible functions. They are denoted by (sA, sB) and (tA, tB) for players A and B. We will show that the following four patterns of competition are equivalent, that is, they yield the same outcome....

We consider a two-person zero-sum game with two sets of strategic variables which are related by invertible functions. They are denoted by (sA, sB) and (tA, tB) for players A and B. We will show that the following four patterns of competition are equivalent, that is, they yield the same outcome....

We examine maximin and minimax strategies for firms in asymmetric duopoly with differentiated goods. We consider two patterns of game; the Cournot game in which strategic variables of the firms are their outputs, and the Bertrand game in which strategic variables of the firms are the prices of...

We examine maximin and minimax strategies for firms under symmetric oligopoly with differentiated goods. We consider two patterns of game; the Cournot game in which strategic variables of the firms are their outputs, and the Bertrand game in which strategic variables of the firms are the prices...

We consider a symmetric multi-person zero-sum game with two sets of alternative strategic variables which are related by invertible functions. They are denoted by (s1, s2, ., sn) and (t1, t2, ., tn) for players 1, 2, ., n. The number of players is larger than two. We consider a symmetric game in...

We examine maximin and minimax strategies for players in two-players game with two strategic variables and . We consider two patterns of game; one is the x-game in which strategic variables of players are x's, and the other is the p-game in which strategic variables of players are p's. We call...

We examine maximin and minimax strategies for players in symmetric multi-players game with two strategic variables. We consider two patterns of game; the x-game in which strategic variables of players are x's, and the p-game in which strategic variables of players are p's. We will show that the...