This paper studies consumption and labor supply in a model where agents have partial insurance and face risk and initial heterogeneity in wages and preferences. Equilibrium allocations and variances and covariances of wages, hours and consumption are solved for analytically. We prove that all...

What shapes the optimal degree of progressivity of the tax and transfer system? On the one hand, a progressive tax system can counteract inequality in initial conditions and substitute for imperfect private insurance against idiosyncratic earnings risk. At the same time, progressivity reduces...

We address this question in a heterogeneous-agent incomplete-markets model featuring exogenous idiosyncratic risk, endogenous skill investment, and flexible labor supply. The tax and transfer schedule is restricted to be log-linear in income, a good description of the US system. Rising...