Global equilibrium dynamics with stationary recursive preferences

We study the global dynamics of capital accumulation for a general two-sector model which is not necessarily convex and where preferences of an infinitely-lived agent are stationary but not additively separable. We obtain monotonicity and convergence results for capital under 'normality' assumptions on preferences and factor intensity assumptions on technology. We then derive results on oscillatory dynamics under alternative factor-intensity conditions or under the assumption of inferiority of 'future utilities'. Finally, in an exchange model with two agents we show that utilities will be monotonic or oscillatory depending on the normality or inferiority of the preferences.