VII. Market failure
C. Public goods
Def. A public good is a
good which is not depleted by an additional user (nondepletability or nonrivalry)
also called non-rivalry
like an extreme case of external benefits: many share in the consumption of the good (so demand is going to be a vertical summation again)
Meaning: once a PG is produced the MC of permitting another user to consume it is about zero
Ex:
national defense
parks
streetlights
highways
lighthouse
fire and police protection to some extent
broadcasts
charity
museums
information
Problems: Private markets tend to:
(1) underproduce public goods
(2) serve too few consumers with whatever amount is produced
"free rider": someone who consumes a good without contributing to its cost.
Problem (1): underproduction is due
to the "free rider" problem
Why? It is frequently very expensive to exclude non-payers from
using a public good, so there is a strong consumer tendency to "let the other person
pay for it" (non-excludability)
Since private markets rely on voluntary transactions, they can't
coerce beneficiaries to pay, so we get a free rider problem
A pure public good: a public good
which free riders cannot be excluded from using (non-excludability)
Ex: lights on oxy campus
In practice, there is an incentive to be an illegitimate free rider.
Ex: defense consider incentive to free ride:
defense budget:
defense share for a family of 4:
defense if a family doesn't pay:
It is the free rider problem, born of non-excludability which leads to the public sector provision of public goods.
Problem (2): too few are served
since, with MC=0 for serving others, everyone should be allowed to consume a public good
once it is produced
--anyone who attaches any value to the good should be allowed to
have it
--private firms do not give output away
--i.e., some legitimate free riders get excluded
Ex's: software piracy; cable signal piracy
1. Private goods versus public goods
Output efficiency occurs where SMB = SMC
For any individual, MB of any unit consumed = vertical distance to the indivdual's. D.
Contrast with private good
Private good: only one person consumes each unit produced. I drink a
beer--no one else can.
So, each unit demanded imposes a separate marginal cost on society and
generates benefit for only one consumer
Public good: all individuals consume the entire output
produced. I put the beer in a museum--all can enjoy looking at it so, each time costs are
incurred in producing output, benefits are generated for many consumers.
Each unit produced can generate benefits from many consumers.
As with externalities, the key is sharing. In fact, many economists consider PGs as the ultimate example of externality.
Two beer consumers: u and i | ||
Private good Drink beer |
Public good Display beer art |
|
Consumers per unit | One | Many |
Amount consumed | Qu + Qi = Qt | Qu = Qi = Qt |
Efficiency condition | MBu=MBi=P=MC | MBu+MBi=MBt=P=MC |
Market demand | Add Ds (Qs) horizontally | Add Ds (MBs) vertically |
2. Economic analysis of public goods
Do public goods worksheet
Note: ideal prices = Lindahl prices = Individual Ps = individual MBs for a public good (imposed as taxes)
approximate Lindahl pricing in practice:
--gas tax for highways
--cigarette tax for lung cancer research
--income tax for defense