Abstract

Abstract Based on the “three bottom line” and stakeholder theory, the paper considers the relationship and cooperation strategy between the government and the supplier and manufacturer of the green supply chain. By constructing the dynamic differential game model, the paper discusses the differences in the optimal effort level, green degree of product, reputation and the optimal benefit under the three situations of noncooperation, government promotion and collaborative cooperation. The results show that the optimal effort level, green degree of product, reputation and the optimal benefit in collaborative cooperation are obviously higher than the situations of non-cooperation and government promotion, and the cooperation of the three parties can promote the development of green supply chain. Government promotion is better than noncooperation. The government plays an active role in improving the optimal benefit and reputation of green supply chain. Finally, the reliability of the proposed proposition is verified by an example analysis, which provides an important reference for improving the efficiency of green supply chain.

Highlights

  • By constructing the dynamic di erential game model, the paper discusses the di erences in the optimal e ort level, green degree of product, reputation and the optimal bene t under the three situations of noncooperation, government promotion and collaborative cooperation

  • The results show that the optimal e ort level, green degree of product, reputation and the optimal bene t in collaborative cooperation are obviously higher than the situations of non-cooperation and government promotion, and the cooperation of the three parties can promote the development of green supply chain

  • We have shown a di erential game model under the three situations of non-cooperation, government promotion and cooperative cooperation

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Summary

Introduction

By constructing the dynamic di erential game model, the paper discusses the di erences in the optimal e ort level, green degree of product, reputation and the optimal bene t under the three situations of noncooperation, government promotion and collaborative cooperation. Proof According to the optimal control theory and the su cient conditions of the Nash equilibrium strategy, the three parties of the supplier, manufacturer of the green supply chain and government have bene t optimal value functions.

Results
Conclusion
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