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Investigation of complex dynamics and chaos control of the duopoly supply chain under the mixed carbon policy

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  • Zhao, Liuwei
  • Jin, Shuai
  • Jiang, Hongyun

Abstract

Against the background of the mixed carbon policy (carbon tax‑carbon trading) implemented in China, the authors analyze the complexity of a series of competition decisions between supply chains through constructing Cournot(Duopoly)game model between supply chains. The dynamics of the proposed game model and the time evolution of the supply chains are described by a nonlinear discrete dynamical system. The equilibrium point of the discrete dynamical system is obtained and its local stability is discussed. The stability of the equilibrium point is further discussed by numerical simulation, which is affected by the speed of adjusting parameters and some other cost parameters. Finally, we apply the delayed feedback control method to suppress and overcome the chaos of the discrete dynamical system. It can effectively promote the discrete dynamical system to return to the stable behavior. It is hoped that the current research can provide a theoretical basis for the competitive decision-making of supply chain node enterprises.

Suggested Citation

  • Zhao, Liuwei & Jin, Shuai & Jiang, Hongyun, 2022. "Investigation of complex dynamics and chaos control of the duopoly supply chain under the mixed carbon policy," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922006993
    DOI: 10.1016/j.chaos.2022.112492
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    References listed on IDEAS

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    7. Zhao, LiuWei & Chang, Jianwei & DU, Jianguo, 2019. "Dynamics analysis on competition between manufacturing and remanufacturing in context of government subsidies," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 119-128.
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    Cited by:

    1. Liurui Deng & Jie Tan & Jiawu Dai, 2023. "Analysis of Decision-Making in a Green Supply Chain under Different Carbon Tax Policies," Mathematics, MDPI, vol. 11(22), pages 1-27, November.
    2. Liuwei, Zhao & Shuai, Jin & Hongyun, Jiang, 2024. "Complex dynamics of dual oligopoly demand uncertainty under carbon emission trading mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    3. Abudureheman Kadeer & Jinghan Yang & Shiyi Zhao, 2024. "Complexity Analysis of the Interaction between Government Carbon Quota Mechanism and Manufacturers’ Emission Reduction Strategies under Carbon Cap-and-Trade Mechanism," Sustainability, MDPI, vol. 16(16), pages 1-23, August.

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