CAJ | 학술논문

主要研究了具有时滞的寡头垄断博弈模型的Hopf分支。首先，建立了一个动态的价格博弈模型，考虑企业从获取市场信息到执行信息有时间上的延迟，从而引入时滞修改了动态价格博弈模型。然后将时滞作为分支参数研究该模型的局部稳定性和Hopf分支的存在性。最后得出结论：当时滞通过一系列临界值时，模型在平衡点处产生了Hopf分支。
주요연구료구유시체적과두롱단박혁모형적Hopf분지。수선，건립료일개동태적개격박혁모형，고필기업종획취시장신식도집행신식유시간상적연지，종이인입시체수개료동태개격박혁모형。연후장시체작위분지삼수연구해모형적국부은정성화Hopf분지적존재성。최후득출결론：당시체통과일계렬림계치시，모형재평형점처산생료Hopf분지。
This paper mainly studies the Hopf bifurcation for the oligopoly game model with delay. Firstly, we constitute a model of dynamic price game, and then we modify the dynamic price game model by assumed to experience delay in obtaining and implementing information. What’s more, we regard delay as bifurcating parameter to study the dynamical behavior, local asymptotical stability and existence of Hopf bifurcation are studied. Finally, a conclusion is given that Hopf bifurcation occurs in equilibrium when time delay passes through a sequence of critical values.