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...

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...

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...

Even in countries where there is a male-biased sex ratio, it is still possible for the marriage market to be balanced if men marry younger women and population is growing. We define a missing Brides Index to reflect the intensity of the possible imbalance at steady state, taking into account the...

We study the well-posedness of initial value problems for nonlinear functional differential-algebraic equations of mixed type. We are interested in solutions to such problems that admit a single jump discontinuity at time zero. We focus specially on the question whether unstable equilibria can...

Dans cet article, nous proposons un modèle à générations imbriquées en temps continu pour étudier la relation entre le taux de croissance de la population et le taux d'intérêt. Nous montrons qu'il existe un taux de croissance fini de la population qui minimise le taux d'intérêt. Ceci...

This paper proposes conditions for the existence and uniqueness of solutions to systems of differential equations with delays or advances in which some variables are non-predetermined. An application to the issue of optimal interest rate policy is then develop in a flexible-price model where...

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...

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.