耐用品动态古诺模型的长期产量解和短期产量解研究

依据耐用品的市场容量可变的特点,研究了两阶段情形下的两个耐用品企业同时博弈的动态古诺模型,分别得到即期利润最大化时和长期利润最大化时的不同的产量博弈模型及其各自所对应的产量解.通过比较与分析可知,长期产量解优于短期产量解.在此基础上,建立了分别以追求短期利润和长期利润为策略的新的博弈模型,由此可知两个企业依旧处于囚徒困境中,不得不以追求短期利润作为自己的选择.

Study of the Long-Term and the Short-Term Product Solutions of Dynamical Cournot Model with Durable Goods

Taking into account of the property that the market capacity for the durable goods changes in time,in this paper,a modified dynamical Cournot model with two firms' simultaneous-move game in the case of only two game stages is presented.Then,two kinds of produce solution when the firms pursue the long-term profits and short-term profits are obtained,respectively.With the comparison and analysis of these solutions,it can be illustrated that the product solution of long-term profit is superior to that of short-term profit.On base of this,a new game model which respectively considers the short-term and short-term profit as the firms' choice of strategy is established,and the result indicated that the two firms will be in the prisoner's dilemma and so have to pursue the short-term profit.