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...

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...

This paper examines an international mixed model in which a domestic state-owned welfare-maximizing public firm competes against a foreign labor-managed income-per-worker-maximizing private firm. In the first stage, each firm independently decides whether or not to make a commitment to capacity....

This paper examines the effectiveness of the wage-rise-contract policy as a strategic commitment in a two-stage quantity-settingmodel with two labor-managed income-per-worker-maximizing firms. The policy is a promise by the firm that it will announce acertain output level and a wage premium...

This paper examines an endogenous-timing mixed model, where a public firm competes against a foreign private firm. Each firm first chooses the timing for adopting a wage-rise contract as a strategic instrument. The following situation is considered. In the first stage, each firm simultaneously...