关键词: 博弈论, 扩展古诺模型, 均衡分析, 相异成本, 非线性需求, 稀土

Abstract: Considering the variable cost and the general nonlinear demand, this paper develops a general multi-oligopolistic Cournot model following the classic Cournot models. A general method for Nash equilibrium solution is derived with expressions under two special demanding functions. This paper also studies the characters of this model, emphasizing the effect on the equilibrium and the difference with classic models caused by the variable cost. The result shows that variable marginal cost may have an effect on the equilibrium output and the allocation among competitors. These conclusions are beneficial to explaining some economic phenomena. The rare earth resources management is discussed and some countermeasures are proposed, taking rare earth as the representative.

Key words: game theory, general Cournot model, equilibrium analysis, variable cost, nonlinear demand, rare earth