We develop a methodology to sign output distortions in the random participation framework. We apply our method to monopoly nonlinear pricing problem, to the regulatory monopoly problem and mainly to the optimal income tax problem. In the latter framework, individuals are heterogeneous across two...

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...