异质性预期混合寡头模型均衡解的复杂性分析  

The complexity analysis of equilibrium solution of mixed oligopoly model on heterogeneous expectations

作　　者：赵欣宇[1] ZHAO Xinyu(School of Mathematics,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2022年第3期308-313,共6页Journal of Liaoning Normal University:Natural Science Edition

基　　金：辽宁省教育厅科学技术研究项目(WJ2019008)。

摘　　要：利用非线性动力系统理论,建立了异质性预期条件下的混合寡头竞争博弈模型,分析了该系统均衡点的存在性和稳定性及影响因素,并进行了数值仿真.结果表明:民营化水平越高,成本差异度越小,寡头均衡产量就越稳定;国企产量调整速度过快对其本身和社会福利不利,对民企有利;民营化水平越高,国企产量就越低,民营产量就越高,社会福利水平提升;当成本差异度过大时,会导致混合所有制改革失败.The paper sets up a mixed oligopoly game model by applying nonlinear dynamic theory, analyzes the existence and stability of equilibrium points of the system and their relevant factors, and carry out numerical simulation. The result shows that the higher the privatization level, the smaller the cost difference, and the more stable the oligopoly equilibrium outputs. The output adjustment speeds of state-owned enterprises are unfavorable to themselves and social welfare, but beneficial to private enterprises. The higher the level of privatization, the lower the output of state-owned enterprises, the higher the output of private enterprises and the higher the level of social welfare. When the cost difference is too large, it will lead to the failure of mixed ownership reform.

关 键 词：混合寡头模型 异质性预期 动态复杂性 非线性动力系统 

分 类 号：O225[理学—运筹学与控制论]