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.

Rodrigues-Neto (2009) has shown that a given specification of posteriors of different players in an incomplete-information setting is compatible with a common prior if and only if the posteriors satisfy the so-called cycle equations. This note shows that, if, for any player, any element of the...

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.