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...

İmrohoroğlu, İmrohoroğlu and Joines [1995, A life-cycle analysis of Social Security, Economic Theory, vol. 6, 83-114] show that the optimal replacement ratio of the pay-as-you-go public pension system in the US economy amounts to 30%. We extend their analysis to a model that 1) replicates...