In overlapping-generations economies with perfect financial markets and lum
p-sum taxation, restrictions on the government budget deficit do not limit
the set of achievable allocations. For economies in which the tax instrumen
ts are distortionary and limited in number, this strong form of irrelevance
does not hold even if markets are perfect. We propose a weaker (but natura
l) definition of irrelevance in which only a finite (but arbitrarily large)
number of restrictions near the baseline deficit are considered. We show t
hat if the government can use only anonymous consumption taxes, there is we
ak irrelevance of the deficit restrictions if the number of tax instruments
is large relative to the number of policy goals. Classification Numbers: D
51, D91, E32. (C) 2000 Academic Press.