We model the optimal reaction of a public PAYG pension system to demographic shocks. We compare the ex-ante first best and second best solution of a Ramsey planner with full commitment to the outcome under simple third best rules that mimic the pension systems observed in the real world. The...

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...