We study the optimal dynamics of an AK economy where population is uniformly distributed along the unit circle. Locations only differ in initial capital endowments. Spatio-temporal capital dynamics are described by a parabolic partial differential equation. The application of the maxi- mum...

We review an emerging application field to parabolic partial differential equa- tions (PDEs), that’s economic growth theory. After a short presentation of con- crete applications, we highlight the peculiarities of optimal control problems of parabolic PDEs with infinite time horizons. In...

While most of the literature concerned with indeterminacy considers a representative agent, some recent works have investigated the role of heterogenous agents on dynamics. This paper adds a contribution to the debate, stressing the effects of heterogeneity in consumers’ preferences within an...

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....

In this paper, we study the effects of collaterals on business cycles and growth in monetary economies with credit market imperfections. We consider an endogenous growth model with a partial cash-in-advance constraint and inelastic labor supply. We assume that the share of consumption purchases...

This paper aims at providing a simple economic framework to address a somewhat neglected question of economic policy, namely the optimal share of investments in medical R&D in total public spending. In or- der to capture the long-run impact of tax-financed medical R&D on the growth rate, we...

The purpose of the model developed in the paper is to provide a simple economic framework to address an economic policy question, namely the optimal size of military R&D investment within total public expenditures. To capture the long-run impact of military R&D on the growth rate of the economy,...

This paper examines the decision process that leads destination countries to introduce selective immigration policies based on skill requirements. We show that in absence of policy implementation costs, destination countries’ preferences are polarized between complete openness and complete...

One of the plausible explanations for macroeconomic fluctuations relies on the occurrence of endogenous deterministic cycles. In the last three decades, most of the relevant literature has rested on the assumption of a representative agent but, recently, a few papers have investigated the role...

Macroeconomic dynamic models are often criticized because the households’ behavior is summarized by a representative agent and, then, they do not take into account consumers’ heterogeneity. Reconsidering the Woodford (1986) infinite-horizon model and the Reichlin (1986) OLG model, we show...