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Externalities and Public Goods · Externalities and Types of Goods

Positive and Negative Externalities

A paper mill on a Wisconsin river sells paper at a price that covers its wages, machines, and wood. But the waste it dumps in the water ruins the fishing downstream, and the mill never sends a bill for that. Is the price of paper telling the truth about what paper really costs? By the end of this page you will be able to say exactly why not, draw it, and calculate how to fix it.

What is an externality?

Most of the time, a market deal affects only the buyer and the seller. Both agree to the price, and both get something out of it. Sometimes, though, a deal also hits someone who had no say in it.

There are two kinds:

  • A negative externality imposes a cost on third parties. Examples: factory smoke, traffic jams, loud music at 3 a.m.

  • A positive externality gives a benefit to third parties. Examples: a flu shot (your classmates are less likely to catch the flu), a beautiful garden that raises nearby home values.

In the paper mill example, the third parties are the downstream fishing businesses. They did not buy the paper and did not sell it, yet they pay the price in lost income.

A buyer and a seller make a deal, and a third party outside the deal receives a side effect. Buyer Seller The deal (price and quantity) Third party Cost or benefit, not in the price
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A paper mill on a river in Wisconsin dumps waste into the water, and the fishing businesses downstream lose income as a result. The mill does not pay for this damage.…

A paper mill on a river in Wisconsin dumps waste into the water, and the fishing businesses downstream lose income as a result. The mill does not pay for this damage. Define the term negative externality in your own words, and identify who the third parties are in this example.

Solve
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Classify each situation as a positive externality or a negative externality, and write one sentence explaining each choice: (a) Aaliyah gets a flu shot, so her…

Classify each situation as a positive externality or a negative externality, and write one sentence explaining each choice:

(a) Aaliyah gets a flu shot, so her classmates are less likely to catch the flu.

(b) A nightclub in downtown Chicago plays loud music until 3 a.m., and neighbors cannot sleep.

(c) A homeowner in Denver plants a beautiful garden that raises the value of nearby houses.

Solve

Negative externalities: marginal private cost vs. marginal social cost

Firms decide how much to produce by comparing what each extra unit earns with what it costs them. That cost is the marginal private cost (MPC). If a unit also harms third parties, society bears an extra cost the firm ignores.

On the graph (Quantity on the horizontal axis, Price ($) on the vertical axis), the MSC curve lies above the MPC curve. The demand curve shows consumers' benefit. Since nobody else benefits, it is also the marginal social benefit (MSB).

Negative externality graph: the MSC curve lies above MPC; the market produces Qm, more than the socially optimal Q*, creating a deadweight loss triangle. Price ($) Quantity D = MSB MPC MSC Q* Qm Deadweight loss

Read the graph like this:

  • The market ignores third parties, so it finds equilibrium where demand meets MPC: quantity Qm.

  • Society wants the quantity where benefit equals the full cost, where demand meets MSC: quantity Q\*.

  • Because MSC is above MPC, $Q^* < Q_m$. The market overproduces.

  • Between $Q^*$ and $Q_m$, each unit costs society more (MSC) than it is worth to buyers (demand). Those units create a deadweight loss (DWL): the triangle between MSC and demand over the units that should not be produced.

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In a market with a negative externality in production, the marginal social cost (MSC) curve is related to the marginal private cost (MPC) curve. Describe where the MSC…

In a market with a negative externality in production, the marginal social cost (MSC) curve is related to the marginal private cost (MPC) curve. Describe where the MSC curve lies compared with the MPC curve, and name what the vertical distance between them represents.

Solve
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A chemical plant in Houston produces fertilizer. The market demand is $P = 100 - Q$ and the marginal private cost is $MPC = 20 + Q$, where $Q$ is in thousands of tons…

A chemical plant in Houston produces fertilizer. The market demand is $P = 100 - Q$ and the marginal private cost is $MPC = 20 + Q$, where $Q$ is in thousands of tons and $P$ is in dollars per ton. Each ton produced also causes a constant external cost of $\$20$ per ton.

(a) Find the market equilibrium quantity and price.

(b) Write the marginal social cost curve and find the socially optimal quantity.

(c) Does the market overproduce or underproduce? By how many thousand tons?

Solve

Positive externalities: marginal social benefit

Now flip the idea. When a purchase benefits third parties, the buyer only counts her own benefit. That is the marginal private benefit (MPB), which is the demand curve. Society's benefit is bigger.

Positive externality graph: the MSB curve lies above demand MPB; the market produces Qm, less than the socially optimal Q*, creating a deadweight loss triangle. Price ($) Quantity D = MPB MSB S = MSC Qm Q* Deadweight loss (lost benefit)

The logic mirrors the negative case:

  • The market equilibrium is where demand (MPB) meets supply: Qm.

  • The social optimum is where MSB meets supply: Q\*.

  • Now $Q^* > Q_m$: the market underproduces. Units between $Q_m$ and $Q^*$ are worth more to society (MSB) than they cost to make, but nobody makes them. That lost benefit is the DWL.

Examples: vaccines, education, rooftop solar panels, home gardens, research and development.

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Marcus's town offers a program that pays part of the cost of installing rooftop solar panels. A study finds that each household's panels give neighbors and the community…

Marcus's town offers a program that pays part of the cost of installing rooftop solar panels. A study finds that each household's panels give neighbors and the community cleaner air worth about $\$300$ per household per year, beyond what the owner gets.

(a) Is this a positive or negative externality? Explain.

(b) Without a subsidy, will the market quantity of solar panels be above or below the socially optimal quantity? Why?

(c) Explain how a subsidy of the right size could fix the problem.

Solve

Fixing externalities

The goal of a policy is to make decision makers face the full social cost or benefit. Economists call this internalizing the externality. The main tools:

  • Pigouvian tax (for a negative externality): a per-unit tax equal to the marginal external cost.

  • Subsidy (for a positive externality): a per-unit payment equal to the marginal external benefit.

  • Regulation: a rule, such as an emissions limit or a mileage cap.

  • Tradable permits: the government sets a total amount of pollution and lets firms buy and sell the right to emit it.

  • Private bargaining (the Coase idea): if the people involved can negotiate cheaply, they may solve it on their own. This works mostly with few parties.

How a corrective tax works

A per-unit tax $t$ on producers adds $t$ to every unit's marginal cost. On the graph, the supply curve (MPC) shifts up by $t$. If $t$ equals the external cost, the new supply curve is exactly the MSC curve, so the market lands at the social optimum.

This is why it is called a Pigouvian (corrective) tax: it is named after the economist Arthur Pigou, and it corrects a distortion rather than just raising money. Taxing something that is already efficient would create a DWL, but taxing a good with a negative externality removes one.

Subsidies work the same way in reverse. A per-unit subsidy equal to the marginal external benefit lowers the producers' (or buyers') cost, which shifts the curve until the market reaches $Q^*$.

Taxes versus rules

A flat rule, like "every driver may drive the same number of miles," is blunt. It ignores how much each person values the activity. A tax lets people decide: those who value the activity most keep doing it and pay the cost, while those who value it least cut back first. The same total reduction happens at lower cost to society. This is why many economists prefer taxes or tradable permits. Rules can still be useful when the harm is severe or hard to measure, or when a tax would be hard to collect.

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The government of a state wants to correct the overproduction in the fertilizer market from the previous situation, where the external cost is $\$20…

The government of a state wants to correct the overproduction in the fertilizer market from the previous situation, where the external cost is $\$20$ per ton. It considers a per-unit tax on producers.

(a) What tax per ton would lead the market to produce the socially optimal quantity?

(b) Explain, using the supply curve, how the tax changes the producers' marginal cost.

(c) Explain why this tax is called a corrective (Pigouvian) tax.

Solve
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A competitive market for steel has demand $P = 120 - 2Q$ and marginal private cost $MPC = 20 + Q$, with $Q$ in thousands of tons and $P$ in dollars per ton. Producing…

A competitive market for steel has demand $P = 120 - 2Q$ and marginal private cost $MPC = 20 + Q$, with $Q$ in thousands of tons and $P$ in dollars per ton. Producing steel creates pollution that costs society an additional $\$12$ per ton, so $MSC = 32 + Q$.

(a) Find the market equilibrium quantity and the socially optimal quantity.

(b) Calculate the deadweight loss of the unregulated market. (Hint: it is a triangle between the MSC and demand curves, over the units that should not be produced.)

(c) Find the per-unit tax that eliminates the deadweight loss. Find the price consumers pay and the price producers receive after the tax.

(d) Explain why a tax set higher than $\$12$ per ton would create a new deadweight loss.

Solve
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A city in California considers two policies to reduce traffic pollution from cars: (i) a tax per gallon of gas equal to the external cost, and (ii) a flat rule limiting…

A city in California considers two policies to reduce traffic pollution from cars: (i) a tax per gallon of gas equal to the external cost, and (ii) a flat rule limiting every driver to the same number of miles per year, regardless of how much each driver values driving.

Compare the two policies. In your answer:

(a) Explain how each policy affects the quantity of driving.

(b) Explain which drivers keep driving under the tax, and which ones stop.

(c) Argue which policy is more efficient, and explain why the tax gives drivers an incentive that the flat rule does not.

(d) Name one reason a policymaker might still prefer the rule.

Solve

Summary

Back to the start: the mill's paper price covered only its private costs. Add the fishermen's lost income and the true social cost is higher, so the mill makes too much paper. A tax equal to that damage makes the price tell the truth.

See all the exercises in this section