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...

In this article, we study the joint dynamics of the demography and the economy. We explore how economic conditions affect fertility choices, and in return how the population growth rate affects both financial and labor markets. Our main contribution is to consider a realistic demographic setup...

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 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...