The optimal quantity of a public good

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ECON 1023
SPRING 2012
Instructor: Gibson Nene
LECTURE NOTES: CHAPTER 5: Public Goods and Externalities
Source: Microeconomics Brief Edition, First Edition by McConnell,
Brue and Flynn.
Efficiently Functioning Markets
• Properly functioning competitive markets achieve economic
efficiency.
• Two conditions must hold for competitive markets to produce
efficient outcomes:
i.
The demand curve in the market must reflect
consumers’____ willingness to pay for the good or service
produced
ii.
The supply curve in the market must reflect all the costs of
______________.
• Under the above two conditions, the market will maximize the
amount of benefits shared between consumers and producers.
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Market Failure
Market failure is the inability of a market to produce a desirable product
or produce it in the “right” amount.
• Market failure occurs when the competitive market system
_________________ certain goods or services compared to what
would be best for society or _____ to provide economic desirable
goods at all.
• These situations represent a market failure to achieve the outcome
that is best for the society.
• Whenever there is a market failure, there might be a role for a
government to intervene in the economy.
• Two common cases in which market failures arise are:
• Production of _________goods (and services)
• Production of goods and services that involve ____________
Private goods
• Characteristics of private goods
– Private goods are provided through a ___________ market
system. E.g. clothing, cars
– ____: if one person consumes a private good, another cannot
– __________: only those who pay for goods enjoy their
benefits
– Bought and consumed by people _____________.
– Produced and allocated efficiently by competitive markets
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• Profitable provision of private goods
– Market demand for a private good is a ___________ sum of
individual demands: quantities demanded at each price are
added up.
– Consumers demand private goods and profit seeking firms
provide those goods to satisfy the demand
– Firms provide goods with the objective of making profits
• Efficient allocation of private goods
– In a competitive market:
• Society’s resources are allocated _________.
• Producers are forced to use the best technology.
• If not they will be out competed by rivals.
• A competitive market results in productive efficiency
• Production of a good in the ______ costly way.
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Public goods
• Characteristics of public goods
– Everyone can simultaneously consume these goods and no
one can be excluded from their consumption. E.g. national
defense, environmental protection
– __________: one person’s consumption of a public good
does not preclude others from consuming it too
– ___________: there is no efficient way to prevent people
from enjoying a public good without paying
– Subject to a __________ problem – arises when non-payers
can enjoy benefits of a public good once the producer has
provided it
– Not produced or are under-produced by competitive markets.
• Because of the free-rider problem, government provides public
goods and finances them through taxes.
Examples of public goods
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Market Demand for Public Goods and Optimal Quantity
• Market demand for a public good is a ______ sum of individual
demands: individuals’ willingness to pay (per unit) for each given
quantity of a public good are added up.
• The optimal quantity of a public good is where the marginal
benefit of this good (market demand) is equal to the marginal cost
of producing it (supply).
• It is difficult to figure out demand for a public good
– We need society members to reveal their demand for a public
good.
• The government uses surveys or public votes to try and estimate
demand for a public good
The optimal quantity of a public good
Demand for Public Goods: An Example with Two Individuals
Quantity of
public good
1
2
3
4
5
Sam’s
willingness to
pay
$4
$3
$2
$1
$0
Lorraine’s
Collective
willingness to willingness
pay
to pay
$5
$4
$3
$2
$1
Marginal
Cost
$3
$4
$5
$6
$7
What is the optimal amount of the public good that should be provided?
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The optimal amount occurs where marginal benefit _________
marginal cost. Remember from Chapter 1, society’s scarce resources
are allocated efficiently when MB=MC.
• What happens if we cannot figure out a point where MB=MC?
– We provide the amount of a public good with the highest
__________ Net Benefit.
– Net Benefit is the difference between MB and MC.
– _________ Net Benefits are not economically justifiable.
Graphically,
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Cost-benefit Analysis (source: Principles of Microeconomics by Gregory Mankiw)
Cost-benefit analysis is the formal comparison of marginal costs and
marginal benefits of a project to decide whether it is worth doing and to
what extent resources should be devoted.
Imagine that you have been elected to serve as a member of the Duluth
city council. The city engineer comes to you with a proposal: The city
can spend $10,000 to build and operate a traffic light at a city
intersection that now has only a stop sign. The benefit of the traffic light
is increased safety. The engineer estimates, based on data from similar
intersections, that the traffic light would reduce the risk of fatal
accidents over the lifetime of the light from 1.6 to 1.1 percent. Should
you spend the money for the new light? To see if this is worthwhile, we
may need to figure out the costs and benefits of this project to decide
whether it is worth doing. We know the cost is $10,000, and the benefit
is the possibility of saving a person’s life.
Obstacle: the costs and benefits must be measured in the same units if
you are to compare then meaningfully. To make your decision, you have
to put a dollar value on a human life.
A. How much is life worth?
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Private Goods vs. Public Goods: Examples
Examples of private goods
Examples of public goods
• Externalities (spillovers):
– Externalities occur when some of the benefits or costs of
production are not fully reflected in market demand or supply
curves. Some of the benefits or costs of a good may “spill
over” to third parties.
• Negative externalities or spillover costs
– ______ imposed on third parties without compensating them.
– An example of a negative externality (or external cost) is
___________, which allows polluters to enjoy lower
production costs because the firm is passing along the cost of
pollution damage or cleanup to society. Because the firm
does not bear the entire cost, it will _______-allocate
resources to the production of goods.
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• Positive externalities (spillovers):
– Spillovers that are external benefits to others
– In other words positive externalities refer to production or
consumption benefits that are received or enjoyed by third
parties who in turn pay __________ for those benefits.
• The provider has _____mechanism to make these third
parties pay for her effort.
– Examples of positive externalities
• People drive around neighborhoods enjoying the beauty
of ___________ put up by homeowners but the
homeowners are not compensated for their effort
• ________ usually benefits society more than it benefits
you as an individual
• An airport security system invention by one
educated individual may change the lives of
billions of people in the whole world
Externalities: Equilibrium Output vs. Optimal Output
• With ________ externalities, the producers’ supply curve is below
(to the right of) the full-cost supply curve, therefore
– equilibrium output is ________than optimal output, i.e.
over-allocation of resources.
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Graphically,
• With positive externalities, the market demand curve is ______
(to the left of) the full-benefit demand curve, therefore
– equilibrium output is _________ than optimal output, i.e.
under-allocation of resources.
Graphically,
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Coase Theorem and Individual Bargaining
• University of Chicago economist Ronald Coase
– Argued that as long as Property ownership is clearly defined,
the number of people involved is small, and bargaining costs
are negligible, market system can take care of negative and
positive externalities.
– The government is ____needed to correct for externalities.
• Government’s role is to __________ bargaining between affected
individuals.
• Real world externalities involve:
– a _____ number of affected parties.
– ____ bargaining costs.
– _______________ property e.g. water and air
Therefore the Coase theorem is not applicable in the real world.
Externalities: Government intervention
• Because of this government intervention maybe needed
• Government tools for negative externalities
– ___________________
– ____________________
• Government tools for positive externalities
– _________________________
– ________________________
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Correcting for negative externalities requires that government get
producers to _______________ these costs.
• Direct controls: Legislation can limit or prohibit pollution, which
means the producer must bear costs of antipollution effort.
• Clean Water Act of 1972: controls the amount of
pollution by animal feeding operations.
• Clean-air legislation: reductions in use of CFCs e.t.c.
• Specific taxes on the amounts of pollution can be assessed, which
causes the firm to cut back on pollution as well as provide funds
for government cleanup.
• Correcting for positive externalities requires that the government
somehow increases demand to increase benefits to socially
desirable amounts.
– ________ to buyers: Government can increase demand by
providing subsidies like food stamps and education grants to
subsidize consumers.
– ___________ to producers: subsidies reduce a producer’s
cost. This corrects under-allocation of resources
– Government provision of quasi-public goods: goods that
could be produced and delivered in a way that exclusion is
possible.
– Government can provide the product for free or at a minimal
charge. E.g. education (head start), public health, streets and
highways, bridges
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Market based approach
• Market-based approach-cape-and-trade: The government can
create a market for externality rights.
• A pollution ______________ pollution level is set by a pollutioncontrol agency.
– The set amount of pollution will maintain the resource
quality at an acceptable level.
• __________ can then trade pollution rights in the market.
A market for pollution rights
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• Advantages
– __________ society’s costs by allowing pollution rights to
be bought or sold.
– ____________ save money by not polluting.
– ___________________ can buy all pollution rights and
withhold them.
Taxation: Apportioning the Tax Burden
The tax burden is the total cost of taxes imposed on society.
• To finance government provision of public goods and subsidies
and government provision in case of positive externalities,
government is levying taxes on households and businesses.
• How is this tax burden distributed?
– Benefits-received principle: People who receive the benefit
from government-provided goods and services should pay the
taxes required to finance them.
– Ability-to-pay principle: People who have greater income
should pay a greater proportion of it as taxes than those who
have less income.
Progressive, Proportional, and Regressive Taxes
• A progressive tax: average tax rate increases as the taxpayer’s
income increases.
• A regressive tax: average tax rate decreases as the taxpayer’s
income increases.
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• A proportional tax: average tax rate remains constant as the
taxpayer’s income increases.
• Average tax rate is the total tax paid divided by total taxable
income, as a percentage.
• Marginal tax rate is the tax rate paid on each additional dollar of
income.
Tax Progressivity in the U.S.
• The majority view of economists is as follows:
– The Federal tax system is progressive.
– The state and local tax structures are largely regressive. A
general sales tax and property taxes are regressive with
respect to income.
The overall U.S. tax system is slightly progressive.
Government’s Role
In addition to correcting externalities and providing public goods,
government also sets the rules and regulations for the economy,
redistributes income when desirable, and takes macroeconomic
actions to stabilize the economy.
The end.
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