The price decision model of closed-loop was proposed that consists of manufacturer,retailer and the third-part logistic operator under stochastic demand.It has the recycle and remanufacturing function of product.Based on the game theory,the model was analyzed under the centralized-decision and the decentralized-decision.The results show that all variables under centralized-decision are prior to that of decentralized-decision.The retailer price of the former is less than that of the latter;the recycle price ...