Abstract
In this paper, we studied the game models of the closed-loop supply chain with random yield and random demand and derive the optimal order quantity and optimal planned production of new products under manufacturer-leader stackelberg, retailer-leader stackelberg and Nash game models. The findings indicated that when retailers dominate the supply chain, optimal order quantity, optimal planned production of new product and the profits of manufacturer and retailer's in the supply chain model dominated by detailers were greater than those in other models. According to the numerical calculation results, optimal planned production of new product will decrease as recovery price increases, but total profit and expected profit of manufacturer and retailer will increase as recovery price increases in the three market power structures.
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