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**Research on third-party collecting game model with competition in closed-loop supply chain based on complex systems theory.**
*(English)*
Zbl 1406.91025

Summary: 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.

### MSC:

91A20 | Multistage and repeated games |

91B24 | Microeconomic theory (price theory and economic markets) |

90B05 | Inventory, storage, reservoirs |

91B06 | Decision theory |

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\textit{J. Ma} and \textit{Y. Guo}, Abstr. Appl. Anal. 2014, Article ID 750179, 22 p. (2014; Zbl 1406.91025)

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### References:

[1] | Fleischmann, M.; Bloemhof-Ruwaard, J. M.; Dekker, R.; van der Laan, E.; van Nunen, J. A. E. E.; van Wassenhove, L. N., Quantitative models for reverse logistics: a review, European Journal of Operational Research, 103, 1, 1-17 (1997) · Zbl 0920.90057 |

[2] | Guide, D.; Jayaraman, V.; Srivastava, R.; Benton, W. C., Supply-chain management for recoverable manufacturing systems, Interfaces, 30, 3, 125-142 (2000) |

[3] | Guide, V. D. R.; Jayaraman, V.; Linton, J. D., Building contingency planning for closed-loop supply chains with product recovery, Journal of Operations Management, 21, 3, 259-279 (2003) |

[4] | Guide, V. D. R.; Wassenhove, V., Managing product returns for remanufacturing, INSEAD, 2000/75/TM (2001), Fontainblau, France |

[5] | Savaskan, R. C.; Bhattacharya, S.; van Wassenhove, L. N., Channel choice and coordination in a remanufacturing environment, INSEAD (2000) |

[6] | Morrell, A. L., The forgotten child of the supply chain, Modern Materials Handling, 56, 6, 33-36 (2001) |

[7] | Meade, L.; Sarkis, J., A conceptual model for selecting and evaluating third-party reverse logistics providers, Supply Chain Management, 7, 5, 283-295 (2002) |

[8] | Spicer, A. J.; Johnson, M. R., Third-party demanufacturing as a solution for extended producer responsibility, Journal of Cleaner Production, 12, 1, 37-45 (2004) |

[9] | Gu, Q.-L.; Gao, T.-G.; Shi, L.-S., Price decision analysis for reverse supply chain based on game theory, System Engineering Theory & Practice, 25, 3, 20-25 (2005) |

[10] | Wang, Y.-Y.; Li, B.-Y.; Yue, F.-F., The research on two price decision models of closed-loop supply chain, Forecasting, 25, 6, 70-73 (2006) |

[11] | Ge, J.-Y.; Huang, P.-Q.; Li, J., Social environmental consciousness and price decision analysis for closed-loop supply chains—based on vertical differentiation model, Industrial Engineering and Management, 4, 6-10 (2007) |

[12] | Han, X.-H.; Xue, S.-J., Reverse channel decision for competing closed-loop supply chain with dominant retailer, Computer Integrated Manufacturing Systems, 15, 11, 2247-2253 (2009) |

[13] | Ma, J.; Wang, H., Complex dynamics analysis for a Cournot-Bertrand mixed game model with delayed bounded rationality, Abstract and Applied Analysis, 2013 (2013) · Zbl 1291.91156 |

[14] | Wang, H.; Ma, J., Complexity analysis of a Cournot-Bertrand duopoly game model with limited information, Discrete Dynamics in Nature and Society, 2013 (2013) · Zbl 1264.91066 |

[15] | Ma, J.; Tu, H., Complexity of a duopoly game in the electricity market with delayed bounded rationality, Discrete Dynamics in Nature and Society, 2012 (2012) · Zbl 1257.37054 |

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