This paper deals with a specific vertical assignment of public functions in
a federation: Two levels of government share both the same tax source and
expenditure on a productivity increasing public service. We consider surplu
s maximizing Leviathan governments which provide public services in order t
o increase their potential tax base. The Nash equilibrium is characterized
by overtaxation and relative to surplus maximization-depending on whether o
r not the public goods are sufficiently complementary with the entire tax b
ase-either underprovision or overprovision of the public service. The impli
cations of these results, in terms of welfare and potential use for earmark
ing taxes are also considered.