Abstract: Under the background of patent protection and government subsidies, the mutual preference model between logistics service providers and express packaging manufacturers and the pairwise mutual benefit model between members of the supply chain are respectively constructed , and the models are solved by reverse induction. Through the research, it is found that the reciprocal preference relationship among the members of the supply chain can not only increase the profits of the members and the whole closed-loop supply chain, but also improve the subjective utility of the members. The reciprocal preference degree of express packaging manufacturers has the greatest influence on the profits of each member of the supply chain, the overall profits of the system and the subjective utility of the system. The degree of reciprocal preference among members of the supply chain is negatively correlated with their own interests and positively correlated with each other's interests. The total utility and profit of the system are positively correlated with the degree of mutual preference among them. Finally, the correctness of the conclusion is verified by numerical results.

Key words: closed-loop supply chain, express packaging recycling, patent protection, reciprocal preferences, government subsidies