Research on the evolution mechanism of duopoly game under equal elastic demand
Based on the equal elastic demand and secondary cost function,a two-dimensional dynamic game model based on strategy delegation and relative profit is established.Firstly,the local stability of the equilibrium point of the system is analyzed by using the Jacobian matrix and Jury criterion.Secondly,the influence of different parameters in the system on the stability of the system is discussed by numerical simulation,that is,the smaller the speed of adjustment and commission coefficient,the more stable the system is within a reasonable range,the more favorable it is to the development of the enterprise.At the same time,it is found that the arrangement of c in the two-dimensional bifurcation diagram is consistent with the arrangement of the Stern-Brocot periodic tree.In addition,the study also gives parameter thresholds that allow the system to avoid global bifurcation.This study is of great significance for understanding the dynamic behavior in oligopoly dynamic game models under elastic demand.
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