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Complex Characteristics and Control of Output Game in Cross-Border Supply Chains: A Perspective of Inter-Chain Competition

Author

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  • Feng-Jie Xie

    (School of Modern Posts, Xi’an University of Posts and Telecommunications, Xi’an 710061, China)

  • Lu-Ying Wen

    (School of Modern Posts, Xi’an University of Posts and Telecommunications, Xi’an 710061, China)

  • Si-Yi Wang

    (School of Modern Posts, Xi’an University of Posts and Telecommunications, Xi’an 710061, China)

  • Yong-Fei Li

    (School of Modern Posts, Xi’an University of Posts and Telecommunications, Xi’an 710061, China)

Abstract

In this paper, an output dynamic game model of intertwined supply chains operating in two different countries is established. The Nash equilibrium point of the model and its stable region are obtained using nonlinear dynamic principles. The complex properties of the system, such as stability, period-doubling bifurcations, and chaos, are investigated using numerical simulations. Our results suggest that the level of output and the system’s profits undergo bifurcation and chaos with an increase in the output adjustment speed. An interesting phenomenon occurs in that higher tariffs lead to the expansion of the stable range of the supply chain in the product-exporting country. The chaotic behavior of the system is sensitive to the value of the initial level of output. In supply chain competition, each supply chain firm should make suitable adjustments to the speed of output. To maintain the stability of domestic markets, excessive tariffs should be avoided. It is essential that each supply chain firm evaluates the potential impacts of different initial output values when making initial decisions. Using the method of delayed feedback control, the chaotic behavior of the system can effectively be controlled. These findings offer valuable and novel insight into inter-chain competition in supply chain networks.

Suggested Citation

  • Feng-Jie Xie & Lu-Ying Wen & Si-Yi Wang & Yong-Fei Li, 2024. "Complex Characteristics and Control of Output Game in Cross-Border Supply Chains: A Perspective of Inter-Chain Competition," Mathematics, MDPI, vol. 12(2), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:313-:d:1321514
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    References listed on IDEAS

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    1. Zhang, Shuguang & Dan, Bin & Zhou, Maosen, 2019. "After-sale service deployment and information sharing in a supply chain under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 279(2), pages 351-363.
    2. Li, Mengmeng & Mizuno, Shinji, 2022. "Dynamic pricing and inventory management of a dual-channel supply chain under different power structures," European Journal of Operational Research, Elsevier, vol. 303(1), pages 273-285.
    3. Fang, Yaner & Shou, Biying, 2015. "Managing supply uncertainty under supply chain Cournot competition," European Journal of Operational Research, Elsevier, vol. 243(1), pages 156-176.
    4. Nagurney, Anna & Besik, Deniz & Dong, June, 2019. "Tariffs and quotas in world trade: A unified variational inequality framework," European Journal of Operational Research, Elsevier, vol. 275(1), pages 347-360.
    5. Wang, Sujuan & Hu, Qiying & Liu, Weiqi, 2017. "Price and quality-based competition and channel structure with consumer loyalty," European Journal of Operational Research, Elsevier, vol. 262(2), pages 563-574.
    6. 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.
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