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Microeconomics · Complete guide

The four types of externalities

An externality is a side effect of producing or consuming something that lands on someone who didn't choose it and isn't paid for it. Split by whether it hurts or helps, and by whether it comes from production or consumption, there are exactly four types. Learn one diagram and one rule and you can draw all four.

In this guide
About 20 minutes, with the exercises
  1. The idea: costs and benefits that miss the price
  2. The four types
  3. The externality diagram, all four ways
  4. Reading the diagrams: one rule
  5. Fixing it: Pigou, regulation, permits
  6. The Coase theorem
  7. Worked questions
  8. Exercises, with answers
  9. One-page revision sheet
01
Start here

The idea: costs and benefits that miss the price

A tannery upstream dumps effluent into a river. Its own costs are leather, labour and power, the marginal private cost (MPC). But the fishermen downstream lose their catch. That loss is real, it is caused by the tannery's output, and it appears in nobody's price. Add it on and you get the marginal social cost (MSC).

The two identities behind the whole topic
MSC=MPC+MECMSB=MPB+MEB
MEC: marginal external cost. MEB: marginal external benefit.
Key idea

Markets settle where private benefit meets private cost. Society is best off where social benefit meets social cost. When the two differ, the market produces the wrong quantity: that is a market failure, and the gap is measured by a deadweight loss triangle.

02
The map

The four types

Negative: harms others
Positive: helps others
From production

Negative production externality

A factory's smoke, stubble burning, a tannery's effluent in a river.

MSC = MPC + MEC, above supplyMarket over-producesFix: Pigouvian tax equal to the marginal external cost

Positive production externality

A beekeeper's bees pollinate the next-door orchard; R&D that other firms learn from.

MSC = MPC − MEB, below supplyMarket under-producesFix: Subsidy to producers equal to the marginal external benefit
From consumption

Negative consumption externality

Smoking in public, loud music at night, driving that adds to congestion.

MSB = MPB − MEC, below demandMarket over-consumesFix: Tax on consumption equal to the marginal external cost

Positive consumption externality

Vaccination (it protects others too), education, a well-kept front garden.

MSB = MPB + MEB, above demandMarket under-consumesFix: Subsidy to consumers equal to the marginal external benefit
The classic exam example

James Meade's apple farmer and beekeeper: the bees pollinate the orchard (a positive production externality from beekeeping) and the blossom feeds the bees (a positive production externality from the orchard). Effects running both ways between two parties are called reciprocal externalities.

03
Interactive

The externality diagram, all four ways

Pick a type. The dashed curve is the social one. The black dot is where the market ends up; the gold dot is where society would like it to be. The shaded triangle is the deadweight loss. Then apply the Pigouvian tax or subsidy and watch the market move to the efficient point.

Negative
Positive
In production
In consumption
102030405060708020406080100120QPMPBMPCMSCmarket 40efficient 30
MPB (demand)MPC (supply)MSC (social)Deadweight loss
Negative production externality

Producers ignore a cost they impose on others of ₹20 a unit, so left alone the market settles at Q = 40 while society is best off at Q = 30. The good is over-produced by 10 units, and the shaded triangle, ₹100, is the welfare lost.

This case

A factory's smoke, stubble burning, a tannery's effluent in a river.

MSC = MPC + MEC, above supply
20
Set it to 0 and the social curve sits on the private one.
The numbers
Market quantity40
Efficient quantity30
Deadweight loss₹100
Corrective tax₹20 per unit
Demand MPB = 100 − Q, supply MPC = 20 + Q.
04
The rule

Reading the diagrams: one rule

Which curve moves?

Production externalities change the cost side, so the supply curve gets a social twin (MSC). Consumption externalities change the benefit side, so the demand curve gets a social twin (MSB).

Which way?

Negative: society values it less (MSB below demand) or it costs society more (MSC above supply). Either way the efficient quantity is lower, so the market overproduces. Positive: the reverse, and the market underproduces.

TypeSocial curveMarket vs efficientDeadweight loss trianglePigouvian fix
Negative productionMSC above MPCQ market > Q*Between MSC and demand, from Q* to Q marketTax = MEC
Positive productionMSC below MPCQ market < Q*Between demand and MSC, from Q market to Q*Subsidy = MEB
Negative consumptionMSB below MPBQ market > Q*Between supply and MSB, from Q* to Q marketTax = MEC
Positive consumptionMSB above MPBQ market < Q*Between MSB and supply, from Q market to Q*Subsidy = MEB
Where the triangle points

The deadweight loss triangle always points at the efficient point, with its wide side at the market quantity. Its height there is the external cost or benefit per unit, and its area is ½ × MEC × (gap in quantity).

05
Policy

Fixing it: Pigou, regulation, permits

Pigouvian tax or subsidy

A. C. Pigou's answer: charge a tax equal to the marginal external cost at the efficient output (or pay a subsidy equal to the marginal external benefit). The private curve then matches the social one and the market finds Q* by itself. This is internalising the externality.

Regulation and standards

Cap emissions directly or mandate technology (filters, catalytic converters). Simple to enforce, but it ignores that some firms can cut pollution far more cheaply than others.

Tradable permits

Set the total quantity, then let firms trade the right to pollute (cap and trade). Firms that can cut cheaply sell permits, so the cap is met at the lowest total cost. The price is set by the market instead of the government.

06
Bargaining

The Coase theorem

Coase (1960)
If property rights are clearly defined and bargaining is costless, the affected parties will negotiate to the efficient outcome, and that outcome is the same whoever is given the rights.
Ronald Coase, Nobel Prize 1991.
Worked question · Coase in action
A factory's smoke costs a neighbouring laundry ₹300 a month. A filter that stops the smoke costs the factory ₹100 a month. What happens if the law gives the laundry the right to clean air? And if it gives the factory the right to pollute?
  1. 1
    Laundry has the right.
    The factory must stop the smoke or compensate ₹300. It fits the ₹100 filter.
  2. 2
    Factory has the right.
    The laundry pays the factory something between ₹100 and ₹300 to fit the filter. Both gain.
Answer
The filter is fitted either way: efficient. Only who pays differs, so the rights decide distribution, not efficiency.
The assumptions (a favourite exam question)
  • Well-defined, enforceable property rights.
  • Zero (or very low) transaction costs of bargaining.
  • Few parties, so they can actually meet and negotiate.
  • Full information about costs and benefits.
  • No income or wealth effects on the valuations.

Pollution affecting millions of people breaks the second and third assumptions, which is why governments step in with taxes, standards and permits.

07
Numbers

Worked questions

Worked question · negative production externality
Demand: P=100−Q. Supply (MPC): P=20+Q. Each unit causes ₹20 of pollution damage. Find the market and efficient outputs, the deadweight loss and the Pigouvian tax.
  1. 1
    Market: MPB = MPC.
    100−Q=20+Q⇒Qm​=40,Pm​=60
  2. 2
    Efficient: MPB = MSC = 40 + Q.
    100−Q=40+Q⇒Q∗=30,P∗=70
  3. 3
    Deadweight loss.
    21​×20×(40−30)=100
  4. 4
    Tax.
    A tax of ₹20 per unit shifts supply up to MSC, so the market produces 30.
Answer
Q market 40, Q* 30, deadweight loss ₹100, Pigouvian tax ₹20 per unit. This is the default setting of the lab above.
08
Practice

Exercises, with answers

0 of 11 correct so far

A. Numbers

Problem 1 · negative production externality
Demand P=120−2Q, supply (MPC) P=20+2Q, marginal external cost ₹10 per unit.
Problem 2 · positive consumption externality
Private demand (MPB) P=90−Q, supply P=10+Q. Each unit consumed gives others a benefit of ₹20.

B. Name the type, and concepts

One attempt each.

1A beekeeper's bees pollinate a neighbour's apple orchard. This is a:
2Getting vaccinated also protects people around you. This is a:
3With a negative production externality, the competitive market output is:
4A Pigouvian tax is set equal to:
5The Coase theorem requires above all that:
09
Revise

One-page revision sheet

Definitions

MSC = MPC + MEC. MSB = MPB + MEB. Efficient where MSB = MSC; market where MPB = MPC.

Which curve

Production: supply gets a social twin (MSC). Consumption: demand gets a social twin (MSB).

Which way

Negative: market overproduces; tax. Positive: market underproduces; subsidy.

Deadweight loss

½ × external effect per unit × (market Q − efficient Q). The triangle points at the efficient point.

Fixes

Pigouvian tax/subsidy (= MEC/MEB at Q*), standards, tradable permits, Coase bargaining, merging the parties.

Coase

Clear rights + zero transaction costs ⇒ efficient outcome whoever holds the rights. Distribution differs.

Watch out for

The mistakes examiners are fishing for

  • Shifting the wrong curve. A consumption externality moves the benefit (demand) side, not supply.
  • Thinking positive externalities are “good for the market”. They still cause a failure: too little is produced.
  • Setting the tax at the market quantity's damage. The Pigouvian tax equals the marginal external cost at the efficient output (the same number only when MEC is constant).
  • Saying Coase needs the victim to hold the rights. Efficiency doesn't depend on who holds them, only that someone clearly does.
Try it on real questions

Fourteen past-paper questions on externalities

From UGC NET, IIT JAM, CUET-PG, GATE, JNU and the University of Hyderabad: classifying the four types, MSC and MPC, Pigouvian taxes, the Coase theorem and numeric deadweight-loss questions.

✦These are questions from the TestStop bank. A free account answers 10 a day, each with its worked solution; All-Access opens every set with no daily limit.

Practice these →All questions on this topic →More resources →

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