Transitional dynamics of the R&D growth model with public education

摘要

This study analyzes the transition dynamics of the R&D-based growth model with public education, based on [Prettner, K. (2014). The non-monotonous impact of population growth on economic prosperity. Economics Letters, 124, 93-95]. We show that the equilibrium path can be monotonous or oscillatory, but may not converge depending on the value of parameters. Thus, we determine and indicate the sufficient condition for long-run oscillation to emerge. In addition, we find that the technological progress rate speeds up during the long-run balanced growth path when income tax rates for public education rise. This result is consistent with empirical analysis.