The theory of the provision of a public good with distortionary taxati
on is reconsidered. We present sufficient conditions for the existence
of a differentially strict Pareto improvement. With a small increase
of a public good, if we can perturb indirect tax rates, we suggest the
use of a Generalized Pigovian rule, which generalizes the cost-benefi
t rule by Atkinson and Stern [1974] to a heterogeneous-consumers econo
my. If we can perturb both indirect taxes and lump-sum transfers, we s
uggest a Generalized Samuelsonian rule, and if we can perturb lump-sum
transfers, we suggest a Modified Harberger-Bruce-Harris rule.