Study on Cooperation Mechanism of Closed-loop Supply Chain Based on Rev-enue Distribution with Modified Shapley-value

A closed-loop supply chain of revenue distribution model consists of a manufacturer, a Third-Part Logistics and a retailer is founded, revenue of each cooperative coalition in different cooperative ways is given based on cooperative game theory. Results indicate that cooperation will bring each cooperative coalition a bigger revenue. The feasibility of using shapley-value method in this model is proved, and then a reasonable equilibrium is solved by using a modified shapley-value method with considering the different risks each member undertook, Finally, an example is given to show the feasibility and availability of the developed mechanism.