We derive a general optimal income tax formula when individuals respond along both the intensive and extensive margins and when income effects can prevail. Individuals are heterogeneous across two dimensions: their skill and their disutility of participation. Preferences over consumption and...

This paper characterizes the optimal redistributive tax schedule in a matching unemployment framework where (voluntary) nonparticipation and (involuntary) unemployment are endogenous. The optimal employment tax rate is given by an inverse employment elasticity rule. This rule depends on the...

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...