Decentralized Decisions in a Two-Stage Reverse Supply Chain with the Third Recycling Business

In a remanufacturing reverse supply chain consisting of a manufacturer with random yield and a recycling business with uncertain supply, a Stackelberg game problem was studied, where recycling business determines the selling price before uncertain supply was realized, and the Manufacturer determines the order quantity. The existence and uniqueness of the Stackelberg equilibrium were proved, and some properties were obtained, including the manufacturer´s order quantity does not depend on the recycling business´s uncertain supply, and the Manufacturer ´s shortage risk are larger than that with no supply uncertainty. At last, a numerical analysis was given.