The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the control variable and treating the slope of this...

The paper provides an extension and a new proof of Deaton's theorem on the undesirability of nonuniform excise taxation when income taxes are affine and preferences over consumption goods are separable from labour-leisure choices, homothetic, and identical across agents. -- Optimal Excise Taxes...

The Atkinson-Stiglitz (1976) theorem on the undesirability of nonuniform excise taxation when all agents have homogeneous, separable preferences is extended to allow for nonseparability with respect to endogenous variables that will be subject to distortions. The result is useful for analysing...

This paper studies the design of optimal utilitarian mechanisms for an excludable public good. Excludability provides a basis for making people pay for admissions; the payments can be used for redistribution and/or funding. Whereas previous work assumed that admissions are governed by the...