Dynamics of the saving rate in the neoclassical growth model with CES production

This paper characterizes the global dynamics of the saving rate in the neoclassical growth model with CES production. The study is based on qualitative phase-diagram analysis. The analytical conditions characterizing the cases that may arise theoretically depending on the parameters' configuration are obtained. It is well known that the saving rate behaves monotonically if technology is Cobb-Douglas. However, when the elasticity of substitution is nonunitary, the saving rate path may exhibit nonmonotonic behavior.