A model of endogenous growth that elucidates the complexity of South--North convergence

This North--South model of Schumpeterian endogenous growth combines a market, productivity and knowledge effect. Depending upon the interaction of these effects, various convergent and divergent South--North growth paths occur: for example, full or partial convergence of the Southern technology level to the Northern one, conditional convergence or divergence depending upon the Southern initial technology level and absorptive capacity, higher or lower as well as decreasing or increasing growth rates during the phase of catching up, and equal or higher growth rates of the South compared to the North after catching up. This set of growth paths can better explain the diversity of the empirical observations for economies at different income and technology levels than those generated by existing models. In this new model, convergence based on North--South trade and associated flows of patents (innovations) is guaranteed if the knowledge effect dominates the productivity effect. A larger Southern market expands the area of convergence and can prevent divergence. Not only a larger Southern market, but also a higher Southern steady state growth rate benefit the North so that convergence is desirable for both, the South and the North.