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Article Dans Une Revue Journal of Difference Equations and Applications Année : 2023

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

Résumé

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.
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hal-04561243 , version 1 (26-04-2024)

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Habiba Meskine, Mohammed Salah Abdelouahab, René Lozi. Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions. Journal of Difference Equations and Applications, 2023, 23 (9-12), pp.1503-1515. ⟨10.1080/10236198.2023.2228421⟩. ⟨hal-04561243⟩
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