中国物理B ›› 2026, Vol. 35 ›› Issue (4): 40501-040501.doi: 10.1088/1674-1056/ae0015

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Impact of altruistic preference on the dynamic decision and coordination of joint emission reduction in low-carbon supply chain

Jinchai Lin(林金钗)1, Chunyan Zheng(郑春艳)1, Ruguo Fan(范如国)2, Yuanyuan Wang(王圆缘)2, Yingqing Zhang(张应青)3, and Han Song(宋寒)1,†   

  1. 1 Management School, Chongqing University of Technology, Chongqing 400054, China;
    2 Economics and Management School, Wuhan University, Wuhan 430072, China;
    3 School of Business Administration, Guizhou University of Finance and Economics, Guiyang 550025, China
  • 收稿日期:2025-03-03 修回日期:2025-08-26 接受日期:2025-08-28 发布日期:2026-04-13
  • 通讯作者: Han Song E-mail:songhan@cqut.edu.cn
  • 基金资助:
    Project supported by the Science and Technology Research Project of Chongqing Municipal Education Committee (Grant No. KJQN202201140), Humanities and Social Sciences Research Project of Chongqing Municipal Education Commission (Grant No. 24SKGH231), General Project for Research on Philosophy and Social Sciences from Ministry of Education of China (Grant No. 23YJCZH124), and the National Natural Science Foundation of China (Grant No. 72361006).

Impact of altruistic preference on the dynamic decision and coordination of joint emission reduction in low-carbon supply chain

Jinchai Lin(林金钗)1, Chunyan Zheng(郑春艳)1, Ruguo Fan(范如国)2, Yuanyuan Wang(王圆缘)2, Yingqing Zhang(张应青)3, and Han Song(宋寒)1,†   

  1. 1 Management School, Chongqing University of Technology, Chongqing 400054, China;
    2 Economics and Management School, Wuhan University, Wuhan 430072, China;
    3 School of Business Administration, Guizhou University of Finance and Economics, Guiyang 550025, China
  • Received:2025-03-03 Revised:2025-08-26 Accepted:2025-08-28 Published:2026-04-13
  • Contact: Han Song E-mail:songhan@cqut.edu.cn
  • Supported by:
    Project supported by the Science and Technology Research Project of Chongqing Municipal Education Committee (Grant No. KJQN202201140), Humanities and Social Sciences Research Project of Chongqing Municipal Education Commission (Grant No. 24SKGH231), General Project for Research on Philosophy and Social Sciences from Ministry of Education of China (Grant No. 23YJCZH124), and the National Natural Science Foundation of China (Grant No. 72361006).

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摘要： Under the carbon trading mechanism, this study establishes a decision-making model for a low-carbon supply chain comprising a single manufacturer and a retailer. It analyzes the impact of the retailer's altruistic preferences on decision variables, profits, supply chain coordination, and the complexity of the dynamic decision-making model. The study indicates that the continuous increase in the adjustment parameters of decision variables can destabilize the supply chain system, with the adjustment parameter for wholesale price having a greater impact than the adjustment parameter for carbon emission reduction level. An increase in altruistic preferences reduces the stability region of the supply chain system, yet its influence on supply chain profits varies depending on the system's state. When the system is stable, altruistic preferences have a positive impact on overall profits; when the system is unstable, profits first increase and then decrease. Compared to decentralized decision-making, centralized decision-making yields higher profits. Based on this, we innovatively design a side-payment self-enforcing contract mechanism to effectively coordinate the supply chain and promote more efficient cooperation. After implementing this contract, the increase in retailers' altruistic preferences can expand the stability region of the supply chain system, and the impact of the carbon emission reduction level adjustment parameter on system stability is greater than that of the wholesale price adjustment parameter, which is different from the situation before the contract was implemented.

关键词: low-carbon supply chain, altruistic preference, carbon cap-and-trade mechanism, bifurcation and chaos, coordination mechanism

Abstract: Under the carbon trading mechanism, this study establishes a decision-making model for a low-carbon supply chain comprising a single manufacturer and a retailer. It analyzes the impact of the retailer's altruistic preferences on decision variables, profits, supply chain coordination, and the complexity of the dynamic decision-making model. The study indicates that the continuous increase in the adjustment parameters of decision variables can destabilize the supply chain system, with the adjustment parameter for wholesale price having a greater impact than the adjustment parameter for carbon emission reduction level. An increase in altruistic preferences reduces the stability region of the supply chain system, yet its influence on supply chain profits varies depending on the system's state. When the system is stable, altruistic preferences have a positive impact on overall profits; when the system is unstable, profits first increase and then decrease. Compared to decentralized decision-making, centralized decision-making yields higher profits. Based on this, we innovatively design a side-payment self-enforcing contract mechanism to effectively coordinate the supply chain and promote more efficient cooperation. After implementing this contract, the increase in retailers' altruistic preferences can expand the stability region of the supply chain system, and the impact of the carbon emission reduction level adjustment parameter on system stability is greater than that of the wholesale price adjustment parameter, which is different from the situation before the contract was implemented.

Key words: low-carbon supply chain, altruistic preference, carbon cap-and-trade mechanism, bifurcation and chaos, coordination mechanism

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Pq (Numerical simulations of chaotic systems)