Half of the jobs in the U.S. feature pay-for-performance. We derive novel incidence and optimum formulas for the overall rate of tax progressivity and the top tax rates on total earnings and bonuses, when such labor contracts arise from moral hazard frictions within firms. Optimal taxes account...

Half of the jobs in the U.S. feature pay-for-performance. We study nonlinear income taxation in a model where such contracts arise in private labor markets that are constrained by moral hazard frictions. We derive novel formulas for the incidence of arbitrarily nonlinear reforms of a given tax...

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...