Abstract: In this paper, the conclusion under linear demand drawn from Cournot model and Stackelberg modelis reviewed first .Then we discuss the difference between the two conditions of linear demand and nonlinear demand . At the end of this paper we draw some new conclusions under nonlinear demand that whether it is first- mover advantage or second-mover advantage is based on the price elasticity of demand.

Key words: game, complete information, dynamic game, nonlinear demand, Nash equil ibrium, first-mover advantage, second-mover advantage