Germaná, Clara; Guerrini, Luca More on nonconvexities in an optimal growth model. (English) Zbl 1151.91634 Appl. Sci. 9, 92-101 (2007). Summary: In an endogenous growth model with marginal product of capital minus population growth rate monotonically decreasing in capital, we show that the economy has a unique balanced growth path (BGP) equilibrium which is saddle-point stable. Moreover, along a BGP path, when all exogenous factors are controlled for, there exists a negative relation between fertility growth and economic growth as well as between fertility and environmental quality. MSC: 91B62 Economic growth models 49N90 Applications of optimal control and differential games PDFBibTeX XMLCite \textit{C. Germaná} and \textit{L. Guerrini}, Appl. Sci. 9, 92--101 (2007; Zbl 1151.91634) Full Text: EuDML