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 optimal income taxation when individuals respond along both the intensive and extensive margins. Individuals are heterogeneous across two dimensions: specifically, their skill and disutility of participation. Preferences over consumption and work effort can differ with...

This article examines unemployment disparities and efficiency in a densely populated economy with two job centers and workers distributed between them. We introduce commuting costs and search-matching frictions to deal with the spatial mismatch between workers and firms. In equilibrium, there...

We derive a sufficient statistics optimal tax formula in a general model that incorporates unemployment and endogenous wages, to study the shape of the tax and transfer system at the bottom of the distribution. The sufficient statistics are the macro employment response to taxation and the micro...