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 analyses the subgame perfect Nash equilibrium of a two-stage price-setting duopoly. The demand functions are classified into four cases in terms of the goods' relevance and strategic relevance between two firms. All four cases are correlated with two opposite prior commitments that...

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...