Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions

被引:3
|
作者
Meskine, Habiba [1 ]
Abdelouahab, Mohammed Salah [2 ,4 ]
Lozi, Rene [3 ]
机构
[1] Mentouri Bros Univ, Dept Math, Constantine, Algeria
[2] Abdelhafid Boussouf Univ Ctr, Lab Math & Their Interact, Mila, Algeria
[3] Univ Cote Azur, CNRS, Lab JA Dieudonne, Nice, France
[4] Abdelhafid Boussouf Univ Ctr, Lab Math & Interact, Mila 43000, Algeria
关键词
Discrete dynamical systems; remanufacturing; competition strategy; heterogeneous players; Chaos; COMPLEX DYNAMICS; COMPETITION; STABILITY; MODEL;
D O I
10.1080/10236198.2023.2228421
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to investigate the dynamics of a remanufacturing duopoly game model with heterogeneous players and different competition strategies, assuming that the original equipment manufacturer has bounded rationality and aims to maximize profit, and the third-party remanufacturer has an adaptive nature and aims to maximize share in order to get a certain profit. The model behaviours are discussed mainly from the point of view of stability, bifurcations and chaos. By utilizing Jury's stability criteria, the Cournot-Nash equilibrium's asymptotic stability is examined. We found that under certain conditions, when consumer willingness to pay was taken as a bifurcation parameter, the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation. Lyapunov exponents are used to demonstrate that the system becomes chaotic through each of the previous bifurcations.
引用
收藏
页码:1503 / 1515
页数:13
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