We provide a methodology to study the role of market distortions on the emergence of indeterminacy and bifurcations. Most of the specific market imperfections considered in the related literature are particular cases of our framework. Comparing them we obtain several equivalence results in terms...

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply and complete assets markets. The method of proof relies on some recent results concerning the existence of Lagrande multipliers in infinite dimensional...

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents, elastic labor supply and complete assets markets. The method of proof relies on some recent results concerning the existence of Lagrange multipliers in in nite dimensional...

This paper analyses the optimal timing of switching between alternative and consecutive regimes in optimal growth models. We derive the appropriate necessary conditions for such problems by means of the standard techniques from calculus of variations and some basic properties of Sobolev spaces.

To account for the development patterns that differ considerably among economies in the long run, a variety of one-sector models that incorporate some degree of market imperfections based on technological external effects and increasing returns have been presented. This paper studies the dynamic...

Recently, many contributions have focused on the relationship between capital accumulation, growth and population dynamics, introducing fertility choice in macro-dynamic models. In this paper, we go one step further highlighting also the link with pollution. We develop a simple overlapping...

We re-examine the destabilizing role of balanced-budget fiscal policy rules based on consumption taxation. Using a one-sector model with infinitely-lived households, and assuming that preferences are of the Greenwood-Hercovitz-Huffman [8] (GHH) type, we show that non-linear consumption taxation...

In this paper, we study the existence of an intertemporal equilibrium in a Ramsey model with heterogenous discounting, elastic labor supply and borrowing constraints. Applying a fixed-point argument by Gale and Mas-Colell (1975), we prove the existence of an equilibrium in a truncated bounded...

We consider a general equilibrium model with heterogeneous agents, borrowing constraints, and exogenous labor supply. First, the existence of intertemporal equilibrium is proved even if the aggregate capitals are not uniformly bounded above and the production functions are not time invariant....

We study the impact of social capital in both simple theoretical and empirical model with the main assumption is the price of physical capital is a decreasing function of social capital. In our theoretical model, there exists a critical value such that firm will not invest in social capital if...