The literature on normal form games generally depicts the payoff matrices of two or three players. However, many such games discuss n-players. Therefore, this note studies the payoff representations of n-player normal form games.

This paper investigates endogenous timing in a mixed duopoly consisting of a profit-maximising firm and a joint-stock firm. There are two stages and the firms simultaneously and independently announce in which stage they will offer lifetime employment as a strategic commitment. If both firms...

This paper examines the behaviors of a profit-maximizing private firm and a socialwelfare- maximizing public firm in a mixed market model with a lifetime employment contract as a strategic commitment. The paper then shows that there exists an equilibrium in which the private firm enters into a...

This paper considers lifetime employment contracts as a strategic commitment and discusses the respective equilibrium outcomes of the two cases of a price-setting game with substitute goods and a price-setting game with complementary goods. As a result, it is shown that in each case, the...