Many studies specify human mortality patterns parametrically, with a parameter change affecting mortality rates at different ages simultaneously. Motivated by the stylized fact that a mortality decline affects primarily younger people in the early phase of mortality transition but mainly older...

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...

In this paper, we develop a continuous time overlapping generations model to analyze the relationship between demographic growth rate and the interest rate. We show there exists a finite demographic growth rate that minimizes the interest rate. This implies that the relation between the two...

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.

In a recent article, Demichelis and Polemarchakis (2007) highlighted the role played by the frequency of trade on the degree of indeterminacy of equilibrium in economies of overlapping generations. Assuming that time has a finite starting point and extends into the infinite future, they prove...

In this paper, ambiguity aversion to uncertain survival probabilities is introduced in a life-cycle model with a bequest motive to study the optimal demand for annuities. Provided that annuities return is sufficiently large, and notably when it is fair, positive annuitization is known to be...