This article models a two-period overlapping generations economy in the steady state where the realization of the quantity/quality number of children depends on an initial investment in children and on a random shock. It shows that the implementation of the first-best allocation, in which the...

We consider a two-period overlapping generations model in which individual voters differ by age and by productivity, In such a setting, a redistributive Pay-As-You-Go system is politically sustainable, even when the interest rate is larger than the rate of population growth. The workers with...

This paper provides a unified treatment of externalities associated with fertility and human capital accumulation as they relate to pension systems. It considers as overlapping generations model in which every generation consists of high earners and low earners with the proportion of types being...