This paper explores the stability of the stationary state for a dynamic growth model with wealth and human capital accumulation. Knowledge is created through research and learning-by-doing, while the time allocation between labor and leisure is endogenized. We analyze the model in both its...

This paper provides the complete closed-form solution to the Lucas two-sector model of endogenous growth. We study the issues of existence, uniqueness, multiplicity, positivity, transitional dynamics and long-run growth, related to the competitive equilibrium paths. We identify the parameter...

Balanced (exponential) growth cannot be generalized to a concept which would not require knife-edge conditions to be imposed on dynamic models. Already the assumption that a solution to a dynamical system (i.e. time path of an economy) satisfies a given functional regularity (e.g....

This chapter on urbanization and growth focuses on modeling and empirical evidence that pertain to a number of inter-related questions. Why do cities form in an economy, with so much of economic activity in countries geographically concentrated in cities? Second, how do different types of cities...

We provide an overview of recent empirical research on patterns of cross-country growth. The new empirical regularities considered differ from earlier ones, e.g., the well-known Kaldor stylized facts. The new research no longer makes production function accounting a central part of the analysis....

This North-South model of Schumpeterian endogenous growth combines a market, productivity and knowledge effect. A set of various convergent and divergent growth paths is derived that is much richer than in the literature so far. South-North convergence based on North-South technology diffusion...

We prove a generalized, multi-factor version of the Uzawa steady-state growth theorem. In the two-factor case, the theorem implies that a neoclassical growth model cannot be simultaneously consistent with empirical evidence on both capital-augmenting technical change and the elasticity of...

We examine the dimension reduction method and prove that it could be misleading if we try to get some insight into the dynamics of the original system from the dynamics of the transformed system alone. The reduced system seemingly may give rise to a continuum multiplicity of steady states when,...

This paper presents a complete analysis of a stochastic version of the Solow growth model in which all parameters are ergodic random variables. Applying random dynamical systems theory, we prove that the dynamics and, in particular, the long-run behavior is uniquely determined by a globally...

In this work we deal with the Solow-Swan economic growth model, when the labor force is ruled by the Malthusian law added by a constant migration rate I. Considering a Cobb-Douglas production function, we prove some stability issues and find a closed-form solution for the emigration case,...