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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 showdoi:10.1515/math-2019-0066 fatcat:ndubv2h2t5ckvi4r7gm6hrxicm