低弹性需求下的古诺模型动态学

Dynamics of Cournot model with non-elasticity demand

研究是否所有双寡头博弈都存在纳什-古诺均衡问题,采用动力系统方法,构造低价格弹性需求函数,并建立此需求函数下的动态双寡头古诺模型,并将双寡头模型扩展至多寡头模型.结果表明:寡头博弈是否存在纳什-古诺均衡是由供给方的厂商数量和需求方的价格弹性共同决定的.该成果对古诺模型的稳定性和均衡解问题给出更一般的解释,说明中国的房屋价格持续上涨的原因不是需求低价格弹性.

In order to study whether the Nash-Cournot equilibrium exists in all duopoly Cournot game,a low-price elastic demand function was constructed using a dynamical system method,and a dynamical duopoly Cournot model was also developed based on the demand function constructed in this study.In addition,the 2-competitors model was extended to n-competitors model.The result shows that whether the existence of Nash-Cournot equilibrium in an oligopoly game was determined by the amount of firms in supply and the elasticity of price in demand.This result provides a more general explanation to the stability of dynamical Cournot model and the existence of Nash-Cournot equilibrium.Also,the result demonstrates that the elasticity of price in housing demand is not the explanation of the sustained rise of housing price in China.