Cet article montre qu'un modèle néo-classique, aux hypothèses habituelles mais pourvu d'une structure par âge de la population explicite, converge vers son sentier de croissance équilibré avec des oscillations amorties. Il reproduit ainsi un processus de retour à la moyenne avec...

This paper develops an overlapping-generations (OLG) model to analyze the consequences of demographic structure changes induced by an exogenous shift in the birth rate.We first show that a finite growth rate of the population that maximizes long-run capital per capita exists. Then, we examine...

In this article, overlapping generations are extracting a natural resource over an infinite future. We examine the fair allocation of resource and compensations among generations. Fairness is defined by core lower bounds and aspiration upper bounds. The core lower bounds require that every...

This paper studies the intertemporal equilibrium of a barter economy populated with a continuum of …finitely-lived overlapping generations. Assuming isoelastic preferences and zero endowments at the beginning and the end of the individual's life-span, it proves the existence of an Hopf...

Age structured populations are studied in economics through overlapping generations models. These models allow for a realistic characterization of life-cycle behaviors and display intertemporal equilibrium that are not necessarily efficient. This article uses the latest developments in...

This paper studies the existence of solutions in continuous time optimization problems. It provides a theorem whose conditions can be easily checked in most models of the optimal growth theory, including those with increasing returns and multi-sector economies.

The epidemiological transition has provided the theoretical background for the expectation of convergence in mortality patterns. We formally test and reject the convergence hypothesis for a sample of industrialized countries in the period from 1960 to 2008. After a period of convergence in the...

In this article, the effect of a change in the distribution of age differences between sexual partners on the dynamics of the HIV epidemic is studied. In a gender and age structured compartmental model, it is shown that if the variance of the distribution is small enough, an increase in this...

We study a benchmark model with collateral constraints and heterogeneous discounting. Contrarily to a rich literature on borrowing limits, we allow for rental markets. By incorporating this missing market, we show that impatient agents choose to rent rather than to own the collateral in the...

We consider a one-sector Ramsey-type growth model with inelastic labor and learning-by-doing externalities based on cumulative gross investment (cumulative production of capital goods), which is assumed, in accordance with Arrow [4], to be a better index of experience than the average capital...