Welfare implications of net social security wealth

Real net social wealth (NSSW), the real present value of social security benefits received minus social security taxes paid, is frequently used as a direct proxy measure for the impact of a social security system on generation welfare. The present paper establishes to the contrary, for a class of overlapping generation economies, that NSSW can be simultaneously negatively correlated with welfare for every agent in every generation. More generally, the paper determines the extent to which social security is needed in these economies to ensure social optimality, and investigates the proper subset of economies for which NSSW and generation welfare exhibit positive correlation.