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Strategies and stability study for a triopoly game considering product recovery based on closed-loop supply chain

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Listed:
  • Junhai Ma

    (Tianjin University)

  • Liqing Zhu

    (Tianjin University)

  • Yani Guo

    (Tianjin University)

Abstract

This paper is focused on a triopoly closed-loop supply chain (CLSC) game model, including triopoly oligopolies applying for circular economy development. In the CLSC model, manufacturers sell new products and re-collect waste products for maximizing their profits. This paper analyzes the game processing, the Nash equilibrium solutions, and the stability of the game model. Moreover, the influences of parameters on the system’s stability have been investigated, using the maximal Lyapunov exponent, bifurcation graph, and the stable domain. The results show that the system will be unstable when the adjustment speed of the manufacture is too high; unreasonable price strategies could easily cause system bifurcation; the critical point of system bifurcation is closely related to the collecting price.

Suggested Citation

  • Junhai Ma & Liqing Zhu & Yani Guo, 2021. "Strategies and stability study for a triopoly game considering product recovery based on closed-loop supply chain," Operational Research, Springer, vol. 21(4), pages 2261-2282, December.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:4:d:10.1007_s12351-019-00509-w
    DOI: 10.1007/s12351-019-00509-w
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    References listed on IDEAS

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    1. Ma, Wei-min & Zhao, Zhang & Ke, Hua, 2013. "Dual-channel closed-loop supply chain with government consumption-subsidy," European Journal of Operational Research, Elsevier, vol. 226(2), pages 221-227.
    2. Genc, Talat S. & De Giovanni, Pietro, 2018. "Optimal return and rebate mechanism in a closed-loop supply chain game," European Journal of Operational Research, Elsevier, vol. 269(2), pages 661-681.
    3. Georgiadis, Patroklos & Athanasiou, Efstratios, 2013. "Flexible long-term capacity planning in closed-loop supply chains with remanufacturing," European Journal of Operational Research, Elsevier, vol. 225(1), pages 44-58.
    4. Chang Fang & Xinbao Liu & Jun Pei & Wenjuan Fan & Panos M. Pardalos, 2016. "Optimal production planning in a hybrid manufacturing and recovering system based on the internet of things with closed loop supply chains," Operational Research, Springer, vol. 16(3), pages 543-577, October.
    5. Qiang, Qiang & Ke, Ke & Anderson, Trisha & Dong, June, 2013. "The closed-loop supply chain network with competition, distribution channel investment, and uncertainties," Omega, Elsevier, vol. 41(2), pages 186-194.
    6. Anuraag Gutgutia & J. K. Jha, 2018. "A closed-form solution for the distribution free continuous review integrated inventory model," Operational Research, Springer, vol. 18(1), pages 159-186, April.
    7. Junhai Ma & Hao Ren & Miao Yu & Meihong Zhu, 2018. "Research on the Complexity and Chaos Control about a Closed-Loop Supply Chain with Dual-Channel Recycling and Uncertain Consumer Perception," Complexity, Hindawi, vol. 2018, pages 1-13, January.
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    Cited by:

    1. Tianle Tian & Chuiyong Zheng & Liguo Yang & Xiaochun Luo & Lin Lu, 2022. "Optimal Recycling Channel Selection of Power Battery Closed-Loop Supply Chain Considering Corporate Social Responsibility in China," Sustainability, MDPI, vol. 14(24), pages 1-30, December.
    2. Wang, Da & Zhang, Yuexiao & Lou, Wandong & Zang, Wenke, 2023. "Fractal viewpoint in supply chain price competition," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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