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...

We study the design of pension benefits for male and female workers. Women live longer than men but have a lower wage. Individuals can be single or live in couples who pool their incomes. Social welfare is utilitarian but an increasing concave transformation of individuals’ lifetime utilities...