Annals of Operations Research

, Volume 257, Issue 1–2, pp 469–489 | Cite as

Coordination of fuzzy closed-loop supply chain with price dependent demand under symmetric and asymmetric information conditions

  • Jing Zhao
  • Jie WeiEmail author
  • Xiaochen Sun
S.I.: Innovative Supply Chain Optimization


This paper investigates the coordination issue of a two-echelon fuzzy closed-loop supply chain. Two coordinating models with symmetric and asymmetric information about retailer’s collecting scale parameter are established by using game theory, and the corresponding analytical solutions are obtained. Theoretical analysis and numerical example show that the maximal expected profits of the fuzzy closed-loop supply chain in two coordination situations are equal to that in the centralized decision case and greater than that in the decentralized decision scenario. Furthermore, under asymmetric information contract, the maximal expected profit obtained by the low-collecting-scale-level retailer is higher than that under symmetric information contract.


Coordination Fuzzy closed-loop supply chain Game theory  Symmetric information Asymmetric information 



The authors wish to express their sincerest thanks to the editors and anonymous referees for their constructive comments and suggestions on the paper. We gratefully acknowledge the support of (i) National Natural Science Foundation of China (NSFC), Research Fund Nos. 71371186, 61403213 for J. Wei; (ii) National Natural Science Foundation of China, Nos. 71301116, 71302005 for J. Zhao.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.School of ScienceTianjin Polytechnic UniversityTianjinPeople’s Republic of China
  2. 2.General Courses DepartmentMilitary Transportation UniversityTianjinPeople’s Republic of China
  3. 3.School of ScienceTianjin UniversityTianjinPeople’s Republic of China

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