Stability analysis of a dynamical Cournot duopoly game with distributed delay

摘要

This paper considers a dynamic model of the Cournot duopoly game with distributed time delay. For both kernels as weak or as Dirac, the local stability of the Nash equilibrium point and the existence of the Hopf bifurcation are carried out. Numerical simulations are performed to illustrate the effectiveness of the results. Finally, conclusions and future researches are provided.