Abstract
In this paper, we give a proper investigation of the problem of remanufacturing duopoly game.(1) A smooth piecewise map is introduced to describe such game. A rich analysis either analytical or numerical is presented in this paper in order to investigate the stability of the fixed points of the game's model. Our obtained results show that those fixed points lose its stability due to flip and Neimark-Sacker border bifurcations. Furthermore, we study the stability of those points when there are periodic cycles with points jump from region to other region. (C) 2019 Published by Elsevier B.V.