The reproductive value (see Fisher 1930) arises as part of the shadow price of the population in a large class of age-structured optimal control models.

We assess the impact of population structure on economic growth. Following recent research, we focus on the generational turnover as a key driver of consumption growth. We characterize the impact of the average birth and death rates on the generational turnover, depending on the age-profile of...

We consider an endogenous growth model with Blanchard-Yaari-type overlapping generations that is built around four sectors: final and intermediate goods production, an R&D sector and a health care sector. Health care serves to lower mortality and morbidity, the latter being related to...

We study socially vs. individually optimal lifecycle allocations of consumption and health care, when individual health expenditure curbs own mortality but also has a spillover effect on other persons' survival. Such spillovers arise, for instance, when health care activity at aggregate level...

We show that in a large class of distributed optimal control models (DOCM), where population is described by a McKendrick type equation with an endogenous number of newborns, the reproductive value of Fisher shows up as part of the shadow price of the population. Depending on the objective...