480 Part Four • Microeconomics of Government and Public Policy
owners who do not have Lojack
devices in their cars benefit from
car owners who do. Ayres and
Levitt estimate the marginal so-
cial benefit of Lojack—the mar-
ginal benefit to the Lojack car
owner plus the spillover benefit
to other car owners—is 15 times
greater than the marginal cost of
the device.
We saw in Figure 18-4(a) that
the existence of positive exter-
nalities causes an insufficient
quantity of a product and thus
an underallocation of scarce re-
sources to its production. The
two general ways to correct the
outcome are to subsidize the
consumer, as shown in Figure
18-4(b) or to subsidize the pro-
ducer, as shown in Figure 18-
4(c). Currently, there is only one
form of government intervention
in place: provincial-mandated in-
surance discounts for people
who install auto retrieval sys-
tems such as Lojack. Those dis-
counts on insurance premiums,
in effect, subsidize the consumer
by lowering the price of the sys-
tem to consumers: the lower
price raises the number of sys-
tems installed. But based on
their research, Ayres and Levitt
contend that the current levels of
insurance discounts are far too
small to correct the underalloca-
tion that results from the positive
externalities created by Lojack.
Source: Based on Ian Ayres and
Steven D. Levitt, “Measuring Posi-
tive Externalities from Unobservable
Victim Precaution: An Empirical
Analysis of Lojack,” Quarterly Jour-
nal of Economics, February 1998,
pp. 43–77. The authors point out that
Lojack did not fund their work in any
way nor do they have any financial
stake in Lojack.
chapter summary
1. Graphically, the collective demand curve for
a particular public good can be found by
summing vertically the individual demand
curves for that good. The demand curve
resulting from this process indicates the col-
lective willingness to pay for the last unit of
any given amount of the public good.
2. The optimal quantity of a public good occurs
where the combined willingness to pay for
the last unit—the marginal benefit of the
good—equals the good’s marginal cost.
3. Cost–benefit analysis can provide guidance
as to the economic desirability and most effi-
cient scope of public goods output.
4. Spillovers or externalities cause the equilib-
rium output of certain goods to vary from
the optimal output. Spillover costs (negative
externalities) result in an overallocation of
resources that can be corrected by legisla-
tion or specific taxes. Spillover benefits (pos-
itive externalities) are accompanied by an
underallocation of resources that can be cor-
rected by subsidies to consumers, subsidies
to producers, or government provision.
5. According to the Coase theorem, private bar-
gaining is capable of solving potential exter-
nality problems where (a) the property rights
are clearly defined, (b) the number of people
involved is small, and (c) bargaining costs
are negligible.
6. Clearly established property rights and lia-
bility rules permit some spillover costs to be
prevented or remedied through private law-
suits. Lawsuits, however, can be costly, time-
consuming, and uncertain as to their results.
7. Direct controls and specific taxes can improve
resource allocation in situations where nega-
tive externalities affect many people and
community resources. Both direct controls
(e.g., smokestack emission standards) and
specific taxes (e.g., taxes on firms producing
toxic chemicals) increase production costs
and hence product price. As product price
rises, the externality is reduced, because less
of the output is bought and sold.
8. Markets for pollution rights, where firms can
buy and sell the right to discharge a fixed
amount of pollution, put a price on pollution
and encourage firms to reduce or eliminate it.
9. The socially optimal amount of externality
abatement occurs where society’s marginal
cost and marginal benefit of reducing the