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The Sustainable Supply Chain Network Competition Based on Non-Cooperative Equilibrium under Carbon Emission Permits

Author

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  • Peiyue Cheng

    (Departement of Management Science and Engineering, School of Business, Qingdao University, Qingdao 266071, China)

  • Guitao Zhang

    (Departement of Management Science and Engineering, School of Business, Qingdao University, Qingdao 266071, China)

  • Hao Sun

    (Departement of Management Science and Engineering, School of Business, Qingdao University, Qingdao 266071, China)

Abstract

Under the background of a circular economy, this paper examines multi-tiered closed-loop supply chain network competition under carbon emission permits and discusses how stringent carbon regulations influence the network performance. We derive the governing equilibrium conditions for carbon-capped mathematical gaming models of each player and provide the equivalent variational inequality formulations, which are then solved by modified projection and contraction algorithms. The numerical examples empower us to investigate the effects of diverse carbon emission regulations (cap-and-trade regulation, mandatory cap policy, and cap-sharing scheme) on enterprises’ decisions. The results reveal that the cap-sharing scheme is effective in coordinating the relationship between system profit and carbon emission abatement, while cap-and-trade regulation loses efficiency compared with the cap-sharing scheme. The government should allocate caps scientifically and encourage enterprises to adopt green production technologies, especially allowing large enterprises to share carbon quotas. This study can also contribute to the enterprises’ decision-making and revenue management under different carbon emissions reduction regulations.

Suggested Citation

  • Peiyue Cheng & Guitao Zhang & Hao Sun, 2022. "The Sustainable Supply Chain Network Competition Based on Non-Cooperative Equilibrium under Carbon Emission Permits," Mathematics, MDPI, vol. 10(9), pages 1-31, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1364-:d:797119
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    References listed on IDEAS

    as
    1. Liu, Zugang (Leo) & Anderson, Trisha D. & Cruz, Jose M., 2012. "Consumer environmental awareness and competition in two-stage supply chains," European Journal of Operational Research, Elsevier, vol. 218(3), pages 602-613.
    2. S. Du & F. Ma & Z. Fu & L. Zhu & J. Zhang, 2015. "Game-theoretic analysis for an emission-dependent supply chain in a ‘cap-and-trade’ system," Annals of Operations Research, Springer, vol. 228(1), pages 135-149, May.
    3. Longfei He & Zhaoguang Xu & Zhanwen Niu, 2014. "Joint Optimal Production Planning for Complex Supply Chains Constrained by Carbon Emission Abatement Policies," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-14, July.
    4. Ata A. Taleizadeh & Mohammad S. Moshtagh & Ilkyeong Moon, 2017. "Optimal decisions of price, quality, effort level and return policy in a three-level closed-loop supply chain based on different game theory approaches," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 11(4), pages 486-525.
    5. Anna Nagurney & Patrizia Daniele & Shivani Shukla, 2017. "A supply chain network game theory model of cybersecurity investments with nonlinear budget constraints," Annals of Operations Research, Springer, vol. 248(1), pages 405-427, January.
    6. Hong, Zhaofu & Wang, Hao & Yu, Yugang, 2018. "Green product pricing with non-green product reference," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 1-15.
    7. Hammond, David & Beullens, Patrick, 2007. "Closed-loop supply chain network equilibrium under legislation," European Journal of Operational Research, Elsevier, vol. 183(2), pages 895-908, December.
    8. Chu, Junfei & Shao, Caifeng & Emrouznejad, Ali & Wu, Jie & Yuan, Zhe, 2021. "Performance evaluation of organizations considering economic incentives for emission reduction: A carbon emission permit trading approach," Energy Economics, Elsevier, vol. 101(C).
    9. Nagurney, Anna & Dong, June & Zhang, Ding, 2002. "A supply chain network equilibrium model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(5), pages 281-303, September.
    10. Ray, Saibal & Jewkes, E. M., 2004. "Customer lead time management when both demand and price are lead time sensitive," European Journal of Operational Research, Elsevier, vol. 153(3), pages 769-781, March.
    11. R. Canan Savaskan & Shantanu Bhattacharya & Luk N. Van Wassenhove, 2004. "Closed-Loop Supply Chain Models with Product Remanufacturing," Management Science, INFORMS, vol. 50(2), pages 239-252, February.
    12. Rekha Guchhait & Sarla Pareek & Biswajit Sarkar, 2019. "How Does a Radio Frequency Identification Optimize the Profit in an Unreliable Supply Chain Management?," Mathematics, MDPI, vol. 7(6), pages 1-19, May.
    13. Hong, Xianpei & Govindan, Kannan & Xu, Lei & Du, Peng, 2017. "Quantity and collection decisions in a closed-loop supply chain with technology licensing," European Journal of Operational Research, Elsevier, vol. 256(3), pages 820-829.
    14. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Evaluating the effects of environmental regulations on a closed-loop supply chain network: a variational inequality approach," Annals of Operations Research, Springer, vol. 261(1), pages 1-43, February.
    15. Huang, Yanting & Wang, Zongjun, 2017. "Values of information sharing: A comparison of supplier-remanufacturing and manufacturer-remanufacturing scenarios," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 20-44.
    16. Nagurney, Anna & Yu, Min, 2012. "Sustainable fashion supply chain management under oligopolistic competition and brand differentiation," International Journal of Production Economics, Elsevier, vol. 135(2), pages 532-540.
    17. Longfei He & Chenglin Hu & Daozhi Zhao & Haili Lu & Xiaoxi Fu & Yiyu Li, 2016. "Carbon emission mitigation through regulatory policies and operations adaptation in supply chains: theoretic developments and extensions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 84(1), pages 179-207, November.
    18. Si, Minxing & Bai, Ling & Du, Ke, 2021. "Fuel consumption analysis and cap and trade system evaluation for Canadian in situ oil sands extraction," Renewable and Sustainable Energy Reviews, Elsevier, vol. 146(C).
    19. Ji, Jingna & Zhang, Zhiyong & Yang, Lei, 2017. "Comparisons of initial carbon allowance allocation rules in an O2O retail supply chain with the cap-and-trade regulation," International Journal of Production Economics, Elsevier, vol. 187(C), pages 68-84.
    20. Emad Sane Zerang & Ata Allah Taleizadeh & Jafar Razmi, 2018. "Analytical comparisons in a three-echelon closed-loop supply chain with price and marketing effort-dependent demand: game theory approaches," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(1), pages 451-478, February.
    21. Yu, Yugang & Zhou, Sijie & Shi, Ye, 2020. "Information sharing or not across the supply chain: The role of carbon emission reduction," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 137(C).
    22. Chen, Cheng-Kang & Ulya, M. Akmalul ', 2019. "Analyses of the reward-penalty mechanism in green closed-loop supply chains with product remanufacturing," International Journal of Production Economics, Elsevier, vol. 210(C), pages 211-223.
    23. Ma, Shigui & He, Yong & Gu, Ran & Li, Shanshan, 2021. "Sustainable supply chain management considering technology investments and government intervention," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    24. Zhang, Bin & Xu, Liang, 2013. "Multi-item production planning with carbon cap and trade mechanism," International Journal of Production Economics, Elsevier, vol. 144(1), pages 118-127.
    25. Xu, Xiaofeng & Wang, Chenglong & Zhou, Peng, 2021. "GVRP considered oil-gas recovery in refined oil distribution: From an environmental perspective," International Journal of Production Economics, Elsevier, vol. 235(C).
    26. Wang, Changjian & Miao, Zhuang & Chen, Xiaodong & Cheng, Yu, 2021. "Factors affecting changes of greenhouse gas emissions in Belt and Road countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 147(C).
    27. Guo, Shu & Choi, Tsan-Ming & Shen, Bin, 2020. "Green product development under competition: A study of the fashion apparel industry," European Journal of Operational Research, Elsevier, vol. 280(2), pages 523-538.
    28. Yu, Min & Cruz, Jose M. & Li, Dong Michelle, 2019. "The sustainable supply chain network competition with environmental tax policies," International Journal of Production Economics, Elsevier, vol. 217(C), pages 218-231.
    29. Chai, Qiangfei & Xiao, Zhongdong & Lai, Kee-hung & Zhou, Guanghui, 2018. "Can carbon cap and trade mechanism be beneficial for remanufacturing?," International Journal of Production Economics, Elsevier, vol. 203(C), pages 311-321.
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    1. Wen Zhang & Xiaofeng Xu & Jun Wu & Kaijian He, 2023. "Preface to the Special Issue on “Computational and Mathematical Methods in Information Science and Engineering”," Mathematics, MDPI, vol. 11(14), pages 1-4, July.

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