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Chin. Phys. B, 2023, Vol. 32(10): 100502    DOI: 10.1088/1674-1056/acd2b5
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Dynamic decision and its complex dynamics analysis of low-carbon supply chain considering risk-aversion under carbon tax policy

Jin-Chai Lin(林金钗)1,†, Ru-Guo Fan(范如国)2, Yuan-Yuan Wang(王圆缘)2, and Kang Du(杜康)2
1 Management School, Chongqing University of Technology, Chongqing 400054, China;
2 Economics and Management School, Wuhan University, Wuhan 430072, China
Abstract  This study establishes a low-carbon supply chain game model under the centralized decision situation and the decentralized decision situation considering the manufacturer risk-aversion behavior, and discusses the influence of the manufacturer risk-aversion behavior on the optimal decision, profit, coordination, and complex dynamics of the supply chain. We find that comparing with the risk-neutral decentralized decision, the increase of manufacturer's risk tolerance attitude can narrow the gap between the supply chain profit and the centralized decision, but it will further reduce the carbon emission reduction level. The increase of risk tolerance of the manufacturer and carbon tax will narrow the stable region of the system. Under this situation, the manufacturer should carefully adjust parameters to prevent the system from losing stability, especially the adjustment parameters for carbon emission reduction level. When the system is in a chaotic state, the increase of carbon tax rate makes the system show more complex dynamic characteristics. Under the chaotic state, it is difficult for the manufacturer to make correct price decision and carbon emission reduction strategy for the next period, which damages its profit, but increases the profit of the retailer and the supply chain. Finally, the carbon emission reduction cost-sharing contract is proposed to improve the carbon emission reduction level and the supply chain efficiency, achieving Pareto improvement. The stability region of the system is larger than that in the centralized decision situation, but the increase of the cost sharing coefficient will reduce the stability of the system in the decentralized decision-making situation.
Keywords:  carbon tax      risk-avers      low-carbon supply chain      complex dynamics  
Received:  21 March 2023      Revised:  23 April 2023      Accepted manuscript online:  05 May 2023
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the Social Science Planning Project of Chongqing, China (Grant No. 2022BS069), the Science and Technology Research Project of Chongqing Education Committee, China (Grant No. KJQN202201140), the National Social Science Foundation of China (Grant No. 20&ZD155), and the National Natural Science Foundation of China (Grant No. 72061003).
Corresponding Authors:  Jin-Chai Lin     E-mail:  jc_lin@cqut.edu.cn

Cite this article: 

Jin-Chai Lin(林金钗), Ru-Guo Fan(范如国), Yuan-Yuan Wang(王圆缘), and Kang Du(杜康) Dynamic decision and its complex dynamics analysis of low-carbon supply chain considering risk-aversion under carbon tax policy 2023 Chin. Phys. B 32 100502

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