理性产量调整机制下集群溢出对双寡头企业产量均衡的影响分析

Analysis of cluster spillovers' impact on thequantity equilibrium between rational duopoly

基于企业的有限理性,以其两种不同的产量调整机制GD和LMA,在企业集群中构建了具溢出效应的双寡头企业产量竞争博弈模型,分析了离散动态系统下溢出效应对双寡头企业产量均衡的影响,并进行了数值模拟。研究表明:一是产量动态系统中产量的演化轨迹取决于产量调整速度、溢出效应等参数取值;二是产量调整速度较小时,对于任意溢出,系统都存在Nash均衡产量,而产量调整速度相对较大时,适度的溢出有利于集群双寡头企业利润的提高,过度的溢出则会导致混沌市场的发生。

Based on the bounded rationality of cluster enterprises,this paper constructs a duopoly production game model in enterprise cluster with cluster spillovers features,by adopting two different adjustment mechanisms,GD and LMA,this paper also analyzes and discusses the effect of cluster spillovers on equilibrium quantity under the discrete dynamical system,and finally carry through the numerical simulation. This research shows that: the evolution track of product quantity depends on the values of discrete system parameters,such as output adjustment speed,the spillover effect; furthermore,when the speed of output adjustment is small,the Nash equilibrium output exists for any overflow,on the other hand,when the speed of output adjustment is relatively bigger,moderate spillover is beneficial to the improvement of the cluster duopolies' profits,while,overflow transition can lead to the happening of the chaotic market.