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...

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.

This paper proposes conditions for the existence and uniqueness of solutions to systems of linear differential or algebraic equations with delays or advances, in which some variables may be non predetermined. The obtained conditions represent the counterpart of the Blanchard and Kahn conditions...

This paper presents a continuous time overlapping-generation (OLG) model which generalizes the Blanchard-Buiter-Weil model and clarifies the relationships between dynastic previous termaltruismnext term, the length of planning horizons, and dynamic inefficiency. Our main innovation relies on the...

In this article, the diversification motives of the demand for annuities is analyzed. Using a model allowing for the uncertainty of both the human life length and the interest rate, the Decision Maker is supposed to choose an optimal portfolio to maximize a bequest. Conditions under which an...

Cet article propose une évaluation quantitative des interactions entre d'une part, le Produit Intérieur Brut (PIB) par habitant et le taux de chômage, et d'autre part, l'immigration permanente en France métropolitaine sur la période 1994-2008. L'immigration est mesurée par les titres de...

We consider a life-cycle model with bequest motives, and assume that the individual does not know his/her survival probability and has maxmin utility preferences; we show that it is optimal not to annuitize but to purchase pure life insurance policies instead.

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...

This paper proposes the use of optimal grouping methods for determining the various age groups within a population. The cutoff ages for these groups, such as the age from wich an individual is considered to be an older person, are then endogenous variables that depend on the entire population...

This work is devoted to the study of the variations of mortality patterns across a sample of high-income countries since 1960. We study changes in age-at-death distributions through two indicators, life expectancy and Gini coefficient, by applying econometric tools commonly used in the economic...