Complex dynamics of Kopel model with nonsymmetric response between oligopolists

Bo Li, Houjun Liang, Lian Shi and Qizhi He

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

Abstract: 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.

Keywords: Kopel model; Pitchfork bifurcation; Neimark–Sacker bifurcation; 2D bifurcation diagram (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000716

DOI: 10.1016/j.chaos.2022.111860

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