grants-in-aid are unlikely to be pareto optimal. And even if pareto optimality
could be achieved by the grants-in-aid, it may not be the most direct Wscal
tool. Not surprisingly, grants-in-aid are most appropriate for publicly pro-
vided services.
Consider the example of a production site located in community A.
Suppose its external diseconomies aVect both citizens in A and those in
other neighboring towns. If town A taxes the producer, it will undoubtedly
base the tax on the marginal damages only to its own citizens. The next
highest government could design a negative conditional matching grant (i.e.,
a tax) levied on town A that would optimally adjust for the broadened scope
of the external diseconomy, but an additional direct tax on the producer
would seem less cumbersome. Other more complex situations, such as the
individualized pollution example in which production at multiple sites along
a river generates external diseconomies for the other Wrms, can best be solved
by producer taxes established by a higher level government and not by a set of
grants-in-aid to a number of localities. There is no compelling reason to
involve lower level governments as intermediaries in correcting for private
sector externalities.
ALTERNATIVE DESIGN CRITERIA
That actual grants-in-aid bear little relationship to theoretical design criteria
is hardly surprising, because the theory is so diYcult to apply in this instance.
In terms of our alternative model, distributional norms based on social
welfare functions can never be more than suggestive to the policymaker.
In terms of imperfect correspondences for externality-generating public
services, varying matching formulas across ``local'' governments on the
basis of marginal external beneWt or harm may be unconstitutional.
Faced with these realities, economists have resorted to developing practical
design criteria that are at least roughly consistent with the underlying
theory.
A surprising feature of the more practical literature is that it has tended
to focus on distributional concerns, more in line with our alternative model of
optimal distribution under federalism than with the mainstream position. A
principal question is how to design grants to correct for perceived resource
imbalances either across states (for federal grants) or across localities (for
state grants). This focus makes sense at a practical level because many federal
and state grants in the United States do attempt to direct aid disproportio-
nately toward poorer states and localities. Examples are the federal grants to
support states' public assistance payments under Temporary Assistance to
Needy Families (TANF) and Medicaid and state grants to support local
public school expenditures.
898 ALTERNATIVE DESIGN CRITERIA
The LeGrand Guidelines
In the mid-1970s, Julian LeGrand suggested three sensible practical guide-
lines for grant-in-aid programs whose goals are redistributional.
2
First, the
grants must be a function of the real income or wealth of the receiving
government, commonly referred to as its Wscal capacity. LeGrand argues
that jurisdictions with Wscal capacities below some target level should receive
aid and jurisdictions above the target should pay a tax (receive a negative
grant). In contrast, existing grant-in-aid programs always give something to
all governments. The political motivations behind giving something to every-
one are clear, but such grants tend by their very nature to have limited
redistributional power. Note, also, that Wscal capacity accounts for diVer-
ences in prices across communities, the relative expenditures required to
achieve comparable levels of public services.
LeGrand's second guideline is that the amount of aid received (tax paid)
should be independent of any expenditure decisions made by the receiving
government. This guideline honors two principles: Redistributional policy
ought properly be concerned with each government's overall initial level of
resources, and, consistent with the federalist ideal, the grantor should not
attempt to inXuence the speciWc spending decisions of lower level govern-
ments.
LeGrand's third guideline states that grants should vary directly with the
receiving government's Wscal eVort, the idea being that governments with less
interest in providing public services should receive correspondingly less aid.
This criterion is somewhat troublesome because it tends to contradict the
second guideline. It implies that the grantor will try to inXuence the overall
level of public services beyond the giving or taking of resources, although not
the composition of these services. In any case, it is a commonly accepted
principle. The U.S. Congress has frequently incorporated eVort parameters
into aid formulas.
3
LeGrand shows that basing grants-in-aid on diVerences in Wscal
capacity automatically incorporates each community's Wscal eVort. To see
this let:
T
i
total taxes per capita collected by government i.
P
i
a price index of public services provided by government i.
E
i
the eVective tax rate in government i, the eVort parameter
Y
i
the per capita tax base in government i.
2
J. LeGrand, ``Fiscal Equity and Central Government Grants to Local Authorities,''
Economic Journal, September 1975.
3
When Congress replaced Aid to Families with Dependent Children (AFDC) with TANF it
stipulated that the states could not reduce the expenditures on public assistance that they had
been making under AFDC.
31. THE ROLE OF GRANTS-IN-AID IN A FEDERALIST SYSTEM OF GOVERNMENTS 899

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