This paper provides a unified treatment of externalities associated with fertility and human capital accumulation within pas-as-you-go pension systems. It considers an overlapping generations model in which every generation consists of high earners and low earners with the proportion of types...

This paper studies the design of pension schemes in a society where fertility is endogenous and parents differ in their ability to raise children. In a world with perfect information, a pay-as-you-go social security system is characterized by equal pensions for all but different contributions...