Complex dynamics of Kopel model with nonsymmetric response between oligopolists

A B S T R A C T In this paper, complex dynamics of Kopel model with nonsymmetric response between oligopolists are discussed. The research show that for the nonsymmetric model fixed point may undergo fold, transcritical, pitchfork and Neimark-Sacker bifurcation when satisfying some specific parameter combinations. The research also show us that effects from the rivals may incur more complex dynamics than self-adjust. During the process of numerical simulation, different combinations of parameter are chosen to show multiple-period phenomenon, the change of stability and the transition of different dynamical behaviors.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper discusses the complex dynamics of the Kopel model with nonsymmetric response. The research shows that the fixed point of the nonsymmetric model may undergo various bifurcations under specific parameter combinations. The research also reveals that the effects from rivals can lead to more complex dynamics compared to self-adjustment.