We are concerned by the dynamic demographic and economic consequences of epidemics, and to this end, we consider a general overlapping generations model which allows for several epidemic configurations. People live for three periods, successively as children, junior adults and senior adults. A...

In this paper we prove that every linear model with rational expectations can be transformed by means of an one-to-one mapping into another model which has one of the following properties: i) it is degenerated, ii) it is backward, iii) it has a Blanchard-Kahn form. In addition to some simple...

In this paper, we examine techniques for the analytical and numerical solution of statedependent differential-difference equations. Such equations occur in the continuous time modelling of vintage capital growth models, which form a particularly important class of models in modern economic...

The transition from economic stagnation to sustained growth is often modelled thanks to "population-induced" productivity improvements, which are assumed rather than derived from primary assumptions. In this paper, the effect of population on productivity is derived from optimal behavior. Both...

We use two stage optimal control techniques to solve some adoption problems. We first consider the case of an isolated economy, which therefore takes its decisions in exclusive accordance with its own preferences and constraints. The planner has to decide whether the economy has to switch to a...

We study optimal growth models à la Nelson and Phelps (1966) where labor resources can be allocated either to production, technology adoption or capital maintenance. We first characterize the balanced growth paths of a benchmark model without maintenance. Then we introduce the maintenance...

In this paper we investigate theoretically the numerical bias due to the truncation of structurally infinite time forward-looking models, by the means of various terminal conditions. On a general multivariate optimal growth model, we first analytically confirm some well-known heuristic...