We study optimal nonlinear income taxation when earnings can differ because of both ability and luck, so the income tax has both a redistributive role and an insurance role. A substantial literature on optimal redistribution in the absence of uncertainty has evolved since Mirrlees' original...

Atkinson and Stiglitz show that with weakly separability, differential commodity taxes are unnecessary given an optimal nonlinear income tax. Deaton showed that with an optimal linear progressive income tax, commodity taxes are superfluous under weakly separable and linear Engel curves. Using...

This paper studies the optimal Pigouvian tax for correcting pollution when the government also uses distortionary taxes to raise revenues. When preferences are quasilinear in leisure and additive, the Pigovian tax can be separated from the Ramsey revenue-raising tax. We characterize the...