IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i11p1795-d822792.html
   My bibliography  Save this article

The Differential Game of a Closed-Loop Supply Chain with Manufacturer Competition Considering Goodwill

Author

Listed:
  • Lang Liu

    (School of Economics and Management, East China Jiaotong University, Nanchang 330013, China)

  • Lulu Wang

    (School of Economics and Management, East China Jiaotong University, Nanchang 330013, China)

  • Taisheng Huang

    (School of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, China)

  • Jinhui Pang

    (School of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, China)

Abstract

The dynamic optimization of the closed-loop supply chain (CLSC) is a hot research topic. Members’ competitive behavior and product goodwill play an important role in the decision making of CLSC members. In this paper, a closed-loop supply chain (CLSC) with competitive manufacturers and single retailers is studied, in which the manufacturer produces and recycles the products, and the retailer is responsible for the sales of the products. On this basis, a dynamic linear differential equation of product goodwill is constructed, the optimal dynamic path of each decision variable is found, and the influence of price competition among manufacturers on the decision making of members in a dynamic closed-loop supply chain is studied. The conclusion is verified by an example. The results show that goodwill directly affects the wholesale price, the retail price, the recovery price, and the profit of supply chain members. The wholesale price and the retail price of products are not only positively affected by their own goodwill, but also by the goodwill of competing products. The manufacturer competition intensity will affect the product price and the supply chain member profit. To a certain extent, the more intense the manufacturer’s competition is, the higher the wholesale price and the retail price, and the greater the profit of the supply chain members.

Suggested Citation

  • Lang Liu & Lulu Wang & Taisheng Huang & Jinhui Pang, 2022. "The Differential Game of a Closed-Loop Supply Chain with Manufacturer Competition Considering Goodwill," Mathematics, MDPI, vol. 10(11), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1795-:d:822792
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/11/1795/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/11/1795/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Wu, Cheng-Han, 2021. "A dynamic perspective of government intervention in a competitive closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 294(1), pages 122-137.
    2. He, Qidong & Wang, Nengmin & Yang, Zhen & He, Zhengwen & Jiang, Bin, 2019. "Competitive collection under channel inconvenience in closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 275(1), pages 155-166.
    3. Zheng, Xiao-Xue & Liu, Zhi & Li, Kevin W. & Huang, Jun & Chen, Ji, 2019. "Cooperative game approaches to coordinating a three-echelon closed-loop supply chain with fairness concerns," International Journal of Production Economics, Elsevier, vol. 212(C), pages 92-110.
    4. Pietro Giovanni, 2014. "Environmental collaboration in a closed-loop supply chain with a reverse revenue sharing contract," Annals of Operations Research, Springer, vol. 220(1), pages 135-157, September.
    5. De Giovanni, Pietro & Reddy, Puduru V. & Zaccour, Georges, 2016. "Incentive strategies for an optimal recovery program in a closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 249(2), pages 605-617.
    6. 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.
    7. Hong, Xianpei & Xu, Lei & Du, Peng & Wang, Wenjuan, 2015. "Joint advertising, pricing and collection decisions in a closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 167(C), pages 12-22.
    8. S. Jørgensen & S. Taboubi & G. Zaccour, 2001. "Cooperative Advertising in a Marketing Channel," Journal of Optimization Theory and Applications, Springer, vol. 110(1), pages 145-158, July.
    9. He, Peng & He, Yong & Xu, Henry, 2019. "Channel structure and pricing in a dual-channel closed-loop supply chain with government subsidy," International Journal of Production Economics, Elsevier, vol. 213(C), pages 108-123.
    10. R. Canan Savaskan & Luk N. Van Wassenhove, 2006. "Reverse Channel Design: The Case of Competing Retailers," Management Science, INFORMS, vol. 52(1), pages 1-14, January.
    11. De Giovanni, Pietro, 2018. "A joint maximization incentive in closed-loop supply chains with competing retailers: The case of spent-battery recycling," European Journal of Operational Research, Elsevier, vol. 268(1), pages 128-147.
    12. Pietro De Giovanni, 2016. "State- and Control-Dependent Incentives in a Closed-Loop Supply Chain with Dynamic Returns," Dynamic Games and Applications, Springer, vol. 6(1), pages 20-54, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pietro De Giovanni & Georges Zaccour, 2022. "A selective survey of game-theoretic models of closed-loop supply chains," Annals of Operations Research, Springer, vol. 314(1), pages 77-116, July.
    2. Pietro Giovanni & Georges Zaccour, 2019. "A selective survey of game-theoretic models of closed-loop supply chains," 4OR, Springer, vol. 17(1), pages 1-44, March.
    3. Ehsan Shekarian & Simme Douwe Flapper, 2021. "Analyzing the Structure of Closed-Loop Supply Chains: A Game Theory Perspective," Sustainability, MDPI, vol. 13(3), pages 1-32, January.
    4. Zhang, Abraham & Wang, Jason X. & Farooque, Muhammad & Wang, Yulan & Choi, Tsan-Ming, 2021. "Multi-dimensional circular supply chain management: A comparative review of the state-of-the-art practices and research," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).
    5. Haitao Chen & Zhaohui Dong & Gendao Li, 2020. "Government Reward-Penalty Mechanism in Dual-Channel Closed-Loop Supply Chain," Sustainability, MDPI, vol. 12(20), pages 1-15, October.
    6. Michael Krapp & Johannes B. Kraus, 2019. "Coordination contracts for reverse supply chains: a state-of-the-art review," Journal of Business Economics, Springer, vol. 89(7), pages 747-792, September.
    7. Shan Lyu & Yuyu Chen & Lei Wang, 2022. "Optimal Decisions in a Multi-Party Closed-Loop Supply Chain Considering Green Marketing and Carbon Tax Policy," IJERPH, MDPI, vol. 19(15), pages 1-23, July.
    8. Lijun Meng & Qiang Qiang & Zuqing Huang & Baoyou Zhang & Yuxiang Yang, 2020. "Optimal Pricing Strategy and Government Consumption Subsidy Policy in Closed-Loop Supply Chain with Third-Party Remanufacturer," Sustainability, MDPI, vol. 12(6), pages 1-29, March.
    9. Matsui, Kenji, 2022. "Optimal timing of acquisition price announcement for used products in a dual-recycling channel reverse supply chain," European Journal of Operational Research, Elsevier, vol. 300(2), pages 615-632.
    10. De Giovanni, Pietro & Zaccour, Georges, 2019. "Optimal quality improvements and pricing strategies with active and passive product returns," Omega, Elsevier, vol. 88(C), pages 248-262.
    11. Sarkar, Sumit & Bhala, Shrey, 2021. "Coordinating a closed loop supply chain with fairness concern by a constant wholesale price contract," European Journal of Operational Research, Elsevier, vol. 295(1), pages 140-156.
    12. Matsui, Kenji, 2023. "Dual-recycling channel reverse supply chain design of recycling platforms under acquisition price competition," International Journal of Production Economics, Elsevier, vol. 259(C).
    13. Suvadarshini, Pinakhi & Biswas, Indranil & Srivastava, Samir K., 2023. "Impact of reverse channel competition, individual rationality, and information asymmetry on multi-channel closed-loop supply chain design," International Journal of Production Economics, Elsevier, vol. 259(C).
    14. Xianpei Hong & Xinlu Cao & Yeming Gong & Wanying (amanda) Chen, 2021. "Quality information acquisition and disclosure with green manufacturing in a closed-loop supply chain," Post-Print hal-03188234, HAL.
    15. Peng Xing & Xiangru Zhao & Mingxing Wang, 2022. "The Optimal Combination between Recycling Channel and Logistics Service Outsourcing in a Closed-Loop Supply Chain Considering Consumers’ Environmental Awareness," Sustainability, MDPI, vol. 14(24), pages 1-25, December.
    16. He, Qidong & Wang, Nengmin & Browning, Tyson R. & Jiang, Bin, 2022. "Competitive collection with convenience-perceived customers," European Journal of Operational Research, Elsevier, vol. 303(1), pages 239-254.
    17. Liu, Chang-Yi & Wang, Hui & Tang, Juan & Chang, Ching-Ter & Liu, Zhi, 2021. "Optimal recovery model in a used batteries closed-loop supply chain considering uncertain residual capacity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    18. Wang, Junbin & Zhang, Ting & Fan, Xiaojun, 2020. "Reverse channel design with a dominant retailer and upstream competition in emerging markets: Retailer- or manufacturer- collection?," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 137(C).
    19. Deepak Singhal & Sarat Kumar Jena & Satyabrata Aich & Sushanta Tripathy & Hee-Cheol Kim, 2021. "Remanufacturing for Circular Economy: Understanding the Impact of Manufacturer’s Incentive under Price Competition," Sustainability, MDPI, vol. 13(21), pages 1-19, October.
    20. Ma, Deqing & Hu, Jinsong, 2022. "The optimal combination between blockchain and sales format in an internet platform-based closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 254(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1795-:d:822792. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.