Nonlinear Dynamics

, Volume 94, Issue 3, pp 1775–1790 | Cite as

Influence of government regulation on the stability of dual-channel recycling model based on customer expectation

  • Junhai Ma
  • Hao RenEmail author
Original Paper


In this paper, the consumers choose different channels to take part in recycling based on the utility they get. A recovery master–slave game model based on customer utility expectations which includes online recyclers, offline recyclers and remanufacturers is established, and the game process which consists of two links which adopt heterogeneous decision-making methods is discussed. And further, a dynamic intervene method which the government subsidizes for maximizing social welfare is considered. This paper analyzes the source of system instability in each link and the impact of relevant parameters on system stability and profitability. The impact of government intervention on system stability is also studied. The results show that chaos occurs with the increase in the remanufacturer’s sensitivity. But with the government’s emphasis on environmental protection within a reasonable range, the chaos can be controlled and the system’s profits rise.


Dual channel Customer expectation Government intervention Heterogeneous decision mode Chaos Social welfare 



The research was supported by the National Natural Science Foundation of China (No. 71571131) and supported by Tianjin University Innovation Fund.

Compliance with ethical standards

Conflict of interest

The authors declare no conflict of interest regarding the publication of this paper.


  1. 1.
    Bhat, V., Patil, Y.: E-waste consciousness and disposal practices among residents of Pune city. Procedia Soc. Behav. Sci. 133, 491–498 (2014)CrossRefGoogle Scholar
  2. 2.
    Nnorom, I.C., Osibanjo, O.: Overview of electronic waste (e-waste) management practices and legislations, and their poor applications in the developing countries. Resour. Conserv. Recycl. 52(6), 843–858 (2008)CrossRefGoogle Scholar
  3. 3.
    Jayant, A., Gupta, P., Garg, S.K., Khan, M.: TOPSIS-AHP based approach for selection of reverse logistics service provider: a case study of mobile phone industry. Procedia Eng. 97, 2147–2156 (2014)CrossRefGoogle Scholar
  4. 4.
    Savaskan, R.C.: Closed-loop supply chain models with product remanufacturing. Manag. Sci. 50(2), 239–252 (2004)CrossRefGoogle Scholar
  5. 5.
    Hong, X.P., Wang, Z.J., Wang, D.Z., Zhang, H.G.: Decision models of closed-loop supply chain with remanufacturing under hybrid dual-channel collection. Int. J. Adv. Manuf. Technol. 68(5–8), 1851–1865 (2013)CrossRefGoogle Scholar
  6. 6.
    Wei, J., Govindan, K., Li, Y., Zhao, J.: Pricing and collecting decisions in a closed-loop supply chain with symmetric and asymmetric information. Comput. Oper. Res. 54, 257–265 (2015)MathSciNetCrossRefGoogle Scholar
  7. 7.
    David, H., Patrick, B.: Closed-loop supply chain network equilibrium under legislation. Eur. J. Oper. Res. 183(12), 895–908 (2007)zbMATHGoogle Scholar
  8. 8.
    Lee, S., Paik, H.S.: Korean household waste management and recycling behavior. Build. Environ. 46(5), 1159–1166 (2010)CrossRefGoogle Scholar
  9. 9.
    Saphores, J.-D.M., Ogunseitan, O.A., Shapiro, A.A.: Willingness to engage in a pro-environmental behavior: an analysis of e-waste recycling based on a national survey of U.S. households. Resour. Conserv. Recycl. 60, 49–63 (2012)CrossRefGoogle Scholar
  10. 10.
    Milovantseva, N., Saphores, J.-D.: E-waste bans and U.S. households preferences for disposing of their e-waste. J. Environ. Manag. 124, 8–16 (2013)CrossRefGoogle Scholar
  11. 11.
    Dwivedy, M., Mittal, R.K.: Willingness of residents to participate in e-waste recycling in India. Environ. Dev. 6, 48–68 (2013)CrossRefGoogle Scholar
  12. 12.
    Yin, J., Gao, Y., He, X.: Survey and analysis of consumers’ behavior of waste mobile phone recycling in China. J. Clean. Prod. 65, 517–525 (2014)CrossRefGoogle Scholar
  13. 13.
    Atasu, A., Van Wassenhove, L.N., Sarvary, M.: Efficient take-back legislation. Prod. Oper. Manag. 18(3), 243–258 (2009)CrossRefGoogle Scholar
  14. 14.
    Ma, J., Zhang, Q., Gao, Q.: Stability of a three-species symbiosis model with delays. Nonlinear Dyn. 67(1), 567–572 (2012)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Macdonald, J.R., Frommer, I.D., Karaesmen, I.Z.: Decision making in the beer game and supply chain performance. Oper. Manag. Res. 6(3–4), 119–126 (2013)CrossRefGoogle Scholar
  16. 16.
    Wei, Y., Wang, H., Qi, C.: The impact of stock-dependent demand on supply chain dynamics. Appl. Math. Model. 37(18–19), 8348–8362 (2013)MathSciNetCrossRefGoogle Scholar
  17. 17.
    Li, T., Ma, J.: The complex dynamics of R&D competition models of three oligarchs with heterogeneous players. Nonlinear Dyn. 74(1–2), 45–54 (2013)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Sahoo, B., Poria, S.: The chaos and control of a food chain model supplying additional food to top-predator. Chaos Solitons Fractals 58, 52–64 (2014)MathSciNetCrossRefGoogle Scholar
  19. 19.
    Puu, T.: Chaos in duopoly pricing. Chaos Solitons Fractals 1(6), 573–581 (1991)CrossRefGoogle Scholar
  20. 20.
    Cavalli, F., Naimzada, A.: Monopoly models with time-varying demand function. Commun. Nonlinear Sci. Numer. Simul. 58, 15–35 (2018)MathSciNetCrossRefGoogle Scholar
  21. 21.
    Cavalli, F., Naimzada, A.: A multiscale time model with piecewise constant argument for a boundedly rational monopolist. J. Diff. Equ. Appl. 22(10), 1480–1489 (2016)MathSciNetCrossRefGoogle Scholar
  22. 22.
    Cavalli, F., Naimzada, A., Tramontana, F.: Nonlinear dynamics and global analysis of a heterogeneous Cournot duopoly with a local monopolistic approach versus a gradient rule with endogenous reactivity. Commun. Nonlinear Sci. Numer. Simul. 23(1–3), 245–262 (2015)MathSciNetCrossRefGoogle Scholar
  23. 23.
    Li, B., Yang, J., Song, X., Bin, L.: Survey on disposal behaviour and awareness of mobile phones in Chinese university students. Procedia Environ. Sci. 16, 469–476 (2012)CrossRefGoogle Scholar
  24. 24.
    Ma, J., Guo, Z.: The parameter basin and complex of dynamic game with estimation and two-stage consideration. Appl. Math. Comput. 248, 131–142 (2014)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.College of Management and EconomicsTianjin UniversityTianjinChina

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