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Research on Third‐Party Collecting Game Model with Competition in Closed‐Loop Supply Chain Based on Complex Systems Theory

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  • Junhai Ma
  • Yuehong Guo

Abstract

This paper studied system dynamics characteristics of closed‐loop supply chain using repeated game theory and complex system theory. It established decentralized decision‐making game model and centralized decision‐making game model and then established and analyzed the corresponding continuity system. Drew the region local stability of Nash equilibrium and Stackelberg equilibrium, and a series of chaotic system characteristics, have an detail analysis of the Lyapunov index which is under the condition of different parameter combination. According to the limited rational expectations theory, it established repeated game model based on collection price and marginal profits. Further, this paper analyzed the influence of the parameters by numerical simulations and concluded three conclusions. First, when the collection price is to a critical value, the system will be into chaos state. Second, when the sale price of remanufacturing products is more than a critical value, the system will be in chaos state. Last, the initial value of the collection price is sensitive, small changes may cause fluctuations of market price. These conclusions guide enterprises in making the best decisions in each phase to achieve maximize profits.

Suggested Citation

  • Junhai Ma & Yuehong Guo, 2014. "Research on Third‐Party Collecting Game Model with Competition in Closed‐Loop Supply Chain Based on Complex Systems Theory," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:750179
    DOI: 10.1155/2014/750179
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    References listed on IDEAS

    as
    1. Junhai Ma & Hongwu Wang, 2013. "Complex Dynamics Analysis for a Cournot‐Bertrand Mixed Game Model with Delayed Bounded Rationality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. V. Daniel R. Guide & Vaidyanathan Jayaraman & Rajesh Srivastava & W. C. Benton, 2000. "Supply-Chain Management for Recoverable Manufacturing Systems," Interfaces, INFORMS, vol. 30(3), pages 125-142, June.
    3. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    4. Junhai Ma & Hongwu Wang, 2013. "Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, October.
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