This paper analyzes the dynamic politico-economic equilibrium of a model where repeated voting on social security and the evolution of household characteristics in general equilibrium are mutually affected over time. In particular, we incorporate withincohort heterogeneity in a two-period Overlapping-Generation model to capture the intragenerational redistributive effect of social security transfers. Political decision-making is represented by a probabilistic voting à la Lindbeck and Weibull (1987). We analytically characterize the Markov perfect equilibrium, in which social security tax rates are shown to be increasing in wealth inequality. The dynamic interaction between inequality and social security leads to growing social security programs. We also perform some normative analysis, showing that the politico-economic equilibrium outcomes are fundamentally different from the Ramsey allocation.JEL Classification: E21 E62 H21 H55