A two-stage remanufacturing reverse supply chain system composed of a manufacturer and a third-party collector is considered. By modeling a third-party recycler transfer responsibility to the manufacturer through payments transfer ??, the equilibrium solution of the six models is studied. Finally, the environmental effects and the significance of every model are analyzed. The results show that the different decision maker of responsibility transfer factors ?? and the different upper limit of the transfer factor ?? will result in different game results in various market structures; the degree of recovery difficulty ?? affects the quantity of recovery; recovery performance is better when transfer factor ?? is determined by the third-party collector; the manufacturer plays a positive role better than third-party recyclers in the cases of the two extreme power models.