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Educerie · IB Diploma · Economics

Unit 2 Microeconomics · 2.8 Market failure—externalities and common pool or common access resources

Level
SL and HL. Section 7 is marked HL only. If you are SL, skip it; nothing in your papers tests it.
Themes (key concepts)
efficiency, sustainability, intervention, interdependence. Those four words belong in your answers here more than anywhere else in the unit.
The question this unit answers
what happens when a price leaves out part of the cost or part of the benefit, and what can a government do about it?
Where it is examined
Paper 1 (a), "explain, using a diagram", and (b), evaluating a government response; Paper 2, where an extract describes a polluting industry or a shrinking fish stock; HL Paper 3, measuring a welfare loss.

What you must be able to do

You must be able toLevelExam form
Explain the socially optimum output, MSB = MSC, and link it to allocative efficiency and community surplusSL, HLA 2-mark definition, and the opening line of most answers here
Draw a negative and a positive externality of production, with the welfare lossSL, HLPaper 1 (a), 10 marks, "explain, using a diagram"
Draw a negative and a positive externality of consumption, with the welfare lossSL, HLThe same, usually around a demerit or a merit good
Say what merit and demerit goods are, and why the market gets both wrongSL, HLDefinition marks; the framing of a Paper 2 extract
Explain common pool resources, the tragedy of the commons, and unsustainable productionSL, HLPaper 2 data response; Paper 1 (b) on sustainability
Explain the nine government responses, and diagram taxes, carbon taxes, subsidies, regulation and educationSL, HLPaper 1 (a); Paper 2 (e), 15 marks
Evaluate them: measurement, effectiveness, stakeholders, international cooperationSL, HLPaper 1 (b), 15 marks, "evaluate" or "discuss"
Calculate the welfare loss from a diagramHL onlyHL Paper 3, quantitative

Before you start

Three things from earlier in this unit. Find equilibrium where demand meets supply. Know consumer and producer surplus, and that their sum, community surplus, is as large as it can be at a competitive equilibrium. And know how an indirect tax shifts supply up and a subsidy shifts it down, because two of the responses here are exactly that.


1The idea in one paragraph

A market price counts the costs and benefits of the two people doing the deal, and nobody else. When a cement works sells a tonne of cement the money covers limestone, fuel and wages, but not the dust settling on the town. When you pay for a flu jab you buy your own protection, not the protection you hand to everyone you stand next to all winter. That leftover cost or benefit, landing on a third party who was not part of the transaction, is an externality, and it means the quantity the market settles on is wrong: too much when the spillover is a cost, too little when it is a benefit. The rest of this subtopic is that one idea drawn four times, then applied to resources everyone can use and nobody owns.

2Private, external and social

Five curves, all built from two ordinary ones.

Marginal private cost (MPC) is the cost to the producer of one more unit: the supply curve. Marginal private benefit (MPB) is the benefit to the consumer of one more unit: the demand curve. A marginal external cost falls on a third party, and so does a marginal external benefit. Add them in and you get the curves the market never sees.

  • Marginal social cost (MSC) = MPC + marginal external cost. The cost to everybody, not just the producer.
  • Marginal social benefit (MSB) = MPB + marginal external benefit. The benefit to everybody, not just the consumer.

An externality is a cost or benefit of an economic activity that falls on a third party and is not reflected in the market price. With no externality MSC sits on top of MPC and MSB on top of MPB, and the market gets the answer right. Figure 1 is that case.

Figure 1 · Allocative efficiency: MSB = MSC Figure 1 · Allocative efficiency: MSB = MSC Price and cost (€ per unit) Quantity (units per week) consumer surplus producer surplus MSB = MPB = D MSC = MPC = S P* Q* With no externality the demand curve is MSB and the supply curve is MSC. Left of Q* the next unit is worth more than it costs; right of Q* it is not. Community surplus is at its largest where the two curves cross.
Figure 1 · Allocative efficiency, MSB = MSC

The output where MSB = MSC is the socially optimum output, and producing it is allocative efficiency. One line earns the mark: left of Q\* the next unit is worth more to society than it costs society, so making it adds to welfare; right of Q\* each unit subtracts. Welfare is largest where the two are equal, and there community surplus, consumer plus producer surplus, is maximised. Market failure is a market left alone not reaching that output, and an externality is one cause of it.

3Which curve splits, and which way

Learn this before anything else here, because it decides your diagram marks.

An externality attaches to one side of the market and pulls one curve away from its twin. The other pair stays together, drawn as a single line with a double label.

  • An externality in production comes from making the good. It sits on the cost side, so MSC comes away from MPC, and the benefit curves stay together as one line labelled MPB = MSB.
  • An externality in consumption comes from using the good. It sits on the benefit side, so MSB comes away from MPB, and the cost curves stay together as MPC = MSC.

The sign then says which way the loose curve goes. A negative externality is an extra cost, so it moves the social curve the unhelpful way: MSC up above MPC, or MSB down below MPB. A positive externality does the opposite.

Figure 2 · Which curve splits, and which way Figure 2 · Which curve splits, and which way Externality in PRODUCTION the cost curves split Externality in CONSUMPTION the benefit curves split NEGATIVE a cost lands on a third party POSITIVE a benefit lands on a third party MSC lies ABOVE MPC MPB = MSB, one curve Over-production: Q₁ > Q* MSB lies BELOW MPB MPC = MSC, one curve Over-consumption: Q₁ > Q* MSC lies BELOW MPC MPB = MSB, one curve Under-production: Q₁ < Q* MSB lies ABOVE MPB MPC = MSC, one curve Under-consumption: Q₁ < Q* In all four, the welfare loss triangle has its point at Q* and its flat side at Q₁. Read the question for the word production or consumption first. That tells you which pair of curves comes apart before you draw anything.
Figure 2 · Which curve splits, and which way

Production externalities split the cost curves. Consumption externalities split the benefit curves. Whichever pair does not split, draw it as one line and give it both names.

One more rule holds in all four cases. Q\*, the socially optimum output, is always where MSC meets MSB. Where MPC meets MPB you get the free market outcome Q₁ instead, because those are the only two curves the buyer and the seller can see.

4Externalities of production

Negative. Grit Cement burns coal to fire its kilns. It pays for coal, limestone and wages, and those are its MPC. The dust and the carbon dioxide are paid for by the town, in dirty washing, childhood asthma and a warmer climate, and none of it reaches any invoice. So MSC lies above MPC, and the vertical gap is the external cost per tonne.

Figure 3 · A negative externality of production Figure 3 · A negative externality of production Price and cost (€ per tonne) Quantity (thousand tonnes per week) MPB = MSB MPC = S MSC P* Q* P₁ Q₁ welfare loss Grit Cement pays MPC. The town also breathes the dust, so society pays MSC. The vertical gap between MPC and MSC is the external cost per tonne. The market makes Q₁, more than the socially optimum Q*.
Figure 3 · A negative externality of production

Read Figure 3 in four steps, which is the order to write the answer in. The market trades where MPC meets MPB, at Q₁. Society would want MSC = MSB, at the smaller Q\. So the market over-produces: on every unit between Q\ and Q₁ the cost to society exceeds the benefit to society, and adding those excesses up gives the shaded welfare loss — community surplus that could have existed and does not.

Positive. Kestrel Engineering runs an apprenticeship. Training costs money now, and some apprentices will leave in three years for a rival, which then gets a skilled worker without paying to train one. The cost to society of a trained apprentice is therefore lower than the cost to Kestrel, so MSC lies below MPC.

Figure 4 · A positive externality of production Figure 4 · A positive externality of production Cost and benefit (€ thousand each) Apprentices trained per year MPB = MSB MPC = S MSC P₁ Q₁ P* Q* welfare loss Kestrel Engineering pays MPC to train apprentices; rival firms hire the skills free. The vertical gap between MSC and MPC is the external benefit per apprentice. The market trains Q₁, fewer than the socially optimum Q*.
Figure 4 · A positive externality of production

Same four steps, opposite answer. The market trains Q₁ and society wants the larger Q\, so the market under-produces, and the triangle between Q₁ and Q\ is the benefit society missed. In both figures the demand side is a single line, MPB = MSB, because nothing happens to a third party when the cement or the training is used.

5Externalities of consumption, and merit and demerit goods

Negative. Blaze is a high-caffeine energy drink. The buyer gets the lift and pays for it. Everyone else pays for the disrupted lesson next morning, and through their taxes for the treatment that follows years of it. The benefit to society of a can is smaller than the benefit to the drinker, so MSB lies below MPB.

Figure 5 · A negative externality of consumption: a demerit good Figure 5 · A negative externality of consumption: a demerit good Price and benefit (€ per can) Cans of Blaze per week (thousands) MPC = MSC MPB = D MSB P* Q* P₁ Q₁ welfare loss The drinker's own benefit is MPB. The benefit to society, MSB, is lower. The vertical gap between MPB and MSB is the external cost per can. Blaze is over-consumed at Q₁, above the socially optimum Q*.
Figure 5 · A negative externality of consumption

The market consumes Q₁, where MPB meets MPC. The socially optimum Q\, where MSB meets MSC, is smaller: the market over-consumes, and the welfare loss sits between Q\ and Q₁. A demerit good is a good considered harmful to the consumer and to society, which will be over-consumed if the market is left alone — cigarettes, alcohol, gambling. Two things cause that at once: the negative consumption externality you have just drawn, and consumers underestimating the harm the good does to them. The label is a judgement about the good, not a different diagram.

Positive. The winter flu jab at our town pharmacy. You buy your own protection; everyone you then fail to infect gets protection they never bought, and so does everyone they would have infected. MSB lies above MPB.

Figure 6 · A positive externality of consumption: a merit good Figure 6 · A positive externality of consumption: a merit good Price and benefit (€ per jab) Flu jabs per winter (thousands) MPC = MSC MPB = D MSB P₁ Q₁ P* Q* welfare loss The patient's own benefit is MPB. Everyone they stand next to gains too, so MSB is higher. The vertical gap between MSB and MPB is the external benefit per jab. Flu jabs are under-consumed at Q₁, below the socially optimum Q*.
Figure 6 · A positive externality of consumption

The market consumes Q₁ and the socially optimum Q\* is larger, so the market under-consumes, and the welfare loss sits between Q₁ and Q\*. A merit good is a good considered beneficial to the consumer and to society, which will be under-consumed if the market is left alone: health care, education, vaccination. The reasons come in the same pair — a positive consumption externality, and consumers who underestimate what the good is worth to them.

Compare Figures 3 and 5. Both are negative externalities and both end with too much traded. But in Figure 3 the loose curve is MSC, sitting above its twin; in Figure 5 it is MSB, sitting below its twin. Getting that the wrong way round is the most expensive mistake in this subtopic.

6Common pool resources and the tragedy of the commons

Common pool resources, also called common access resources, are resources nobody owns and everybody can use: ocean fish stocks, the atmosphere, an aquifer, a grazing common, a rainforest. The guide gives them two characteristics.

  • Rivalrous: one person's use reduces what is left for everybody else. A tonne of cod in my hold is a tonne nobody else can catch.
  • Non-excludable: nobody can be stopped from using them. There is no gate on the sea.

Together they produce the tragedy of the commons. Each user weighs the private benefit of one more unit against their own private cost, and leaves out the cost to every other user, now and in the future, of a smaller stock. So MPC sits below MSC, and every boat has a private reason to fish harder even though every skipper knows where it ends. Nobody is behaving irrationally; the rules of access produce the outcome.

Figure 7 · A common pool resource: the Wren Bay fishery Figure 7 · A common pool resource: the Wren Bay fishery The catch decision Cost and price (€ per tonne) Tonnes landed per year (thousands) MPB = MSB MPC MSC P* Q* P₁ Q₁ What that does to the stock Fish stock Years from now catch at Q* catch at Q₁ the stock cannot replace itself No boat pays for the fish the next boat will not catch, so the fleet lands Q₁. Q* is the catch the stock can replace each year. Above it the resource shrinks, year after year, until the fishery is gone.
Figure 7 · A common pool resource: the Wren Bay fishery

The cost landing on third parties is the shrinking stock, which is why the guide calls this unsustainable production creating negative externalities. Sustainability here means taking no more than the stock replaces. Q\* is that rate; Q₁ is above it, so the stock falls every year, the possible catch falls with it, and eventually there is no fishery for anybody. The loss is not only this year's triangle but the future of the resource. Two things stop the tragedy: somebody gains the right to control access, so the resource stops being non-excludable, or the users agree among themselves to limit their use and police each other.

7HLCalculating the welfare loss from a diagram

SL students can skip this. HL students may be given a diagram with numbers on the axes, or the equations behind one, and asked what the welfare loss is worth.

Welfare loss = ½ × base × height

The base runs along the quantity axis, between the free market quantity and the socially optimum quantity. The height is read on the price axis: the gap between MSC and MSB at the free market quantity Q₁, not at Q\*, where the gap is zero.

Take our cement market. Demand, which is MPB and also MSB, is P = 120 − 2Q. The firm's own supply, MPC, is P = 20 + 2Q. Q is in thousands of tonnes a week, P in euros a tonne. Each tonne imposes €20 of external cost, so MSC = 40 + 2Q.

  1. Free market quantity. MPB = MPC: 120 − 2Q = 20 + 2Q, so 100 = 4Q and Q₁ = 25, at €70.
  2. Socially optimum quantity. MSB = MSC: 120 − 2Q = 40 + 2Q, so 80 = 4Q and Q\* = 20, at €80.
  3. Height. At Q₁ = 25, MSC = 40 + 50 = €90 and MSB = 120 − 50 = €70, a gap of €20.
  4. Base. 25 − 20 = 5 thousand tonnes, which is 5,000 tonnes.
  5. Welfare loss = ½ × 5,000 × 20 = €50,000 a week.
Figure 8 · Measuring the welfare loss (HL) Figure 8 · Measuring the welfare loss (HL) Price and cost (€ per tonne) Quantity (thousand tonnes per week) MPB = MSB MPC MSC €90 €80 20 €70 25 height = €90 − €70 = €20 base = 25 − 20 = 5 thousand tonnes Welfare loss = ½ × base × height = ½ × 5,000 tonnes × €20 = €50,000 a week.
Figure 8 · Measuring the welfare loss (HL)

Two habits protect the marks. Watch the units: an axis in thousands turns a base of 5 into 5,000. And the height matched the external cost per unit only because MSC here is a parallel shift of MPC; where the curves are not parallel, measure the gap at Q₁ rather than assuming it.

8What a government can do

The guide lists nine responses.

Indirect (Pigouvian) taxes. A tax per unit set equal to the marginal external cost. It raises the firm's costs until MPC sits on MSC, so the market's own choice of output falls to Q\*. The externality has been internalised: the polluter now pays it.

Carbon taxes. A Pigouvian tax charged per tonne of carbon dioxide emitted, or on the carbon content of the fuel burned.

Figure 9 · A carbon tax of €20 a tonne on the cement market Figure 9 · A carbon tax of €20 a tonne on the cement market Price and cost (€ per tonne) Quantity (thousand tonnes per week) tax revenue MPB = MSB MPC before tax MSC = MPC + tax €70 25 €80 20 €60 output falls the €20 tax The tax adds the external cost to the firm's own cost, so supply becomes MSC. Output falls from 25 to 20 and the government collects €400,000 a week.
Figure 9 · A carbon tax on the cement market

At €20 a tonne the tax lifts supply to MSC, output falls from 25 to 20 thousand tonnes, buyers pay €80 instead of €70, the firm keeps €60, and the government collects €400,000 a week. The tax bans nothing: each firm chooses between cutting output, switching fuel and fitting a filter, whichever is cheapest for it.

Legislation and regulation. A rule with the law behind it: an emissions standard, a maximum catch, a ban, a minimum age for buying a demerit good. The left panel of Figure 10 shows the simplest form, a legal maximum output at Q\*.

Education, awareness creation. Campaigns, labelling and school programmes that change what people believe about a good. As they understand the harm their private valuation falls, so MPB shifts down towards MSB, as in the right panel of Figure 10. For a merit good it works the other way.

Figure 10 · Two responses that do not use money Figure 10 · Two responses that do not use money Legislation and regulation € per tonne Thousand tonnes per week MPB = MSB MPC MSC P* Q* P₁ Q₁ legal maximum Education, awareness creation € per can Thousand cans per week MPC = MSC MPB before MPB = MSB P₁ Q₁ P* Q* the campaign moves MPB down Regulation moves the quantity by law. Education moves the curve by changing minds.
Figure 10 · Regulation and education

Tradable permits. The government caps total pollution, issues that many permits and lets firms trade them. A firm that can cut cheaply cuts and sells its spare permits to one that cannot, so the cap fixes the total while the market decides where the cutting happens.

International agreements. Treaties in which countries commit to targets, because a tonne of carbon dioxide emitted here warms the climate everywhere and no country can fix that alone.

Collective self-governance. The users of a common pool resource write and enforce their own rules — a fishing community agreeing seasons, net sizes and a share for each boat, and policing each other. No government is involved, which is what makes it a real alternative to regulation.

Subsidies. A payment per unit that lowers the cost of supplying a good, used where there is a positive externality. Supply shifts down, the price consumers pay falls, and consumption rises to Q\*.

Figure 11 · A subsidy for a positive externality of consumption Figure 11 · A subsidy for a positive externality of consumption Price and benefit (€ per jab) Flu jabs per winter (thousands) cost to the government MPC = MSC MPC − subsidy MPB = D MSB P₁ Q₁ P* Q* P₂ subsidy The subsidy lowers the price the patient pays to P₂ and lifts the jab count to Q*. The shaded rectangle is what it costs the government.
Figure 11 · A subsidy for a merit good

Government provision. The state supplies the good itself, free or below cost, out of taxation: a vaccination programme, state schools, public parks.

9How well do these work

An evaluation question asks what a policy depends on, and what happens when that thing is missing.

Measuring the externality is hard, and everything follows from the measurement. A Pigouvian tax is only correct if it equals the external cost, so somebody must price a childhood asthma case or a degree of warming in 2080. Those prices are contested, and much of the harm falls on people who cannot be asked, including people not yet born. Set the tax too low and the market still over-produces; too high and it under-produces.

Effectiveness depends on elasticity and on who has to act. A tax on a good with inelastic demand, which is what a demerit good usually is, changes quantity very little and raises a lot of revenue — poor if the aim was to cut consumption, fine if the aim was to fund treatment, so say which aim you are judging. Regulation is the reverse: certain about quantity, but blunt, because it tells every firm to do the same thing whatever cutting costs that firm, and it needs inspectors. Tradable permits give the certainty of a cap with the flexibility of a price. Education is slow and hard to prove, but it is the only response that moves the curve rather than the point on it.

Stakeholders gain and lose unevenly. Under the carbon tax in Figure 9 consumers pay more and lose surplus; producers keep less per tonne, sell less and may cut jobs, which matters more if the plant is the town's only large employer; the government gains revenue it can spend on the harm; third parties gain cleaner air. A tax on a necessity also takes a larger share of a small income than of a large one, so an equity argument sits beside the efficiency one.

Sustainability problems are global, so they need cooperation. Emissions are local but the damage and the benefit of cutting are shared, which creates between countries the problem the commons creates between boats: a country that cuts pays the whole cost and keeps a slice of the benefit, while one that does nothing keeps the benefit anyway. Countries also disagree about who should cut most, since high-income countries emitted most of the historical stock while low- and middle-income ones argue that cutting would slow the growth that lifts people out of poverty. Once a treaty is signed, monitoring leans on self-reported data and enforcement has no world government behind it. That is a limitation to write about, not a reason to call agreements pointless: the ozone treaties worked, and saying why — few substances, cheap substitutes, a handful of measurable factories — is a strong evaluative point.

10Where marks are lost

Splitting the wrong pair of curves. A student reads "a factory emits fumes" and shifts MSB below MPB. Fumes come from making the good, so MSC is the curve that moves. Ask first: does the harm come from making it or from using it?

Moving the social curve the wrong way. For a positive production externality MSC lies below MPC, because society's cost is lower than the firm's. Students draw it above out of habit, and the answer falls over.

Putting Q\* in the wrong place. It is where MSC meets MSB. If your diagram has three lines, one of them is doing two jobs and must carry both names.

Drawing the welfare loss triangle back to front. In all four diagrams it has its point at Q\* and its flat vertical side at Q₁, between MSC and MSB.

Treating a demerit good and a negative externality as the same thing. The externality is the spillover onto third parties; the demerit good label also carries consumers misjudging the harm to themselves. A demerit good question wants both.

Calling the welfare loss the firm's loss, or the tax revenue. It is neither. It is community surplus nobody gets: not the buyer, not the seller, not the government.

Describing policies instead of evaluating them. "A tax will reduce consumption" is knowledge. "A tax will reduce consumption, but demand for energy drinks is price inelastic, so the fall in quantity will be small while the revenue is large" is evaluation, and that is where the 15-mark marks live.

11Draw it right

Every externality diagram needs all of the following, and examiners look for them in this order.

  1. A title naming the market and the externality: "the market for cement, with a negative production externality".
  2. Both axes labelled: quantity across the bottom, price and cost up the side, with units if you have them.
  3. All four curves accounted for. Two coincide, so you draw three lines, and the coinciding pair carries a double label, MPB = MSB or MPC = MSC. A missing double label loses a mark even when the picture is right.
  4. The free market outcome marked P₁ and Q₁ where the private curves cross, dotted to both axes.
  5. The socially optimum outcome marked P\* and Q\* where MSC crosses MSB, dotted to both axes.
  6. The welfare loss shaded and labelled: point at Q\*, flat side at Q₁.
  7. A word or an arrow for the direction: over-production, under-consumption.
Figure 12 · What a full-marks externality diagram looks like Figure 12 · What a full-marks externality diagram looks like Price and cost (€ per tonne) Quantity (thousand tonnes per week) MPB = MSB MPC = S MSC P* Q* P₁ Q₁ over-production 1 A title: which market, and which externality 2 Both axes labelled, price and cost vertical 3 Every curve labelled, and the pair that coincides written as one line: MPB = MSB 4 The free market outcome P₁ and Q₁, dotted to both axes 5 The socially optimum P* and Q*, where MSC = MSB 6 The welfare loss shaded and named 7 A word for the direction: over-production here 1 2 3 4 5 6 7 Seven things earn marks here. Six of them are labels.
Figure 12 · What a full-marks externality diagram looks like

Draw it large, in pencil, a third of a page, then refer to it by name: "as Figure 1 shows, Q₁ exceeds Q\*". A diagram nobody mentions earns less than one that is used.

12Try it

Marks in brackets. Answers and marker's notes are at the end. Do them first.

Q1. Define the term negative externality of production. 2 marks

Q2. Explain, using a diagram, why a free market over-consumes a demerit good. 4 marks

Q3. A government wants to cut emissions from twelve chemical plants. Explain two reasons why it might choose tradable permits rather than an emissions limit applied equally to every plant. 4 marks

Q4 (HL). In a market, MSB is P = 90 − 3Q and MPC is P = 10 + 2Q, where Q is in thousands of units a week and P is in euros. Production imposes an external cost of €15 a unit. Calculate the welfare loss. 4 marks

Q5. Explain, using a diagram, how a subsidy can correct the under-consumption of a merit good. 10 marks

13In one breath

An externality is a cost or benefit landing on somebody who was not in the deal, so the price is wrong and the quantity is wrong with it. Production externalities split the cost curves, consumption externalities split the benefit curves, and the pair that does not split is drawn as one line with both names. Negative moves the social curve the unhelpful way and the market does too much; positive does the opposite and it does too little. Q\* is always where MSC meets MSB, and the welfare loss triangle always points at Q\* with its flat side at Q₁. Common pool resources are rivalrous and non-excludable, so each user ignores the cost to the others and the stock goes faster than it can replace itself. Governments answer with taxes, carbon taxes, regulation, education, permits, agreements, self-governance, subsidies and provision, and every one depends on measuring the externality, on how elastic demand is, and on who ends up paying.


Answers

Q1. A negative externality of production is a cost of producing a good that falls on a third party outside the transaction and is not reflected in the market price; because of it, marginal social cost is greater than marginal private cost. 1 for a cost falling on a third party outside the transaction, 1 for linking it to MSC above MPC. "Pollution" on its own scores 0.

Q2. For a demerit good such as an energy drink the harm comes from consuming it, so the benefit curves separate: MSB lies below MPB by the external cost per can, while the cost curves stay together as MPC = MSC. The free market trades where MPB meets MPC, at Q₁, but the socially optimum quantity, where MSB meets MSC, is the smaller Q\. Between Q\ and Q₁ each can costs society more than it is worth to society, and the sum of those excesses is the shaded welfare loss triangle. The market over-consumes. 1 for a labelled diagram with MSB below MPB and MPC = MSC as one line, 1 for Q₁ where MPB = MPC and Q\* where MSB = MSC, 1 for the welfare loss shaded between Q\* and Q₁, 1 for "over-consumption" with a reason. A diagram that moves MSC instead of MSB scores nothing for the diagram marks however good the writing is.

Q3. Permits let the cutting happen where it is cheapest: plants differ in what reducing emissions costs them, so the ones that can cut cheaply do so and sell their spare permits to the ones that cannot, and the same total reduction costs the industry less than an equal limit on every plant. The cap also fixes total emissions with certainty and can be tightened by issuing fewer permits, without the government needing to know each plant's costs. 2 for each reason, 1 for the point and 1 for the development. Credit also for revenue if permits are auctioned, or for the standing incentive to innovate because every tonne saved can be sold.

Q4 (HL). MSC = MPC + 15 = 25 + 2Q. Free market: 90 − 3Q = 10 + 2Q, so 80 = 5Q and Q₁ = 16. Social optimum: 90 − 3Q = 25 + 2Q, so 65 = 5Q and Q\* = 13. Height at Q₁: MSC = 25 + 32 = €57 and MSB = 90 − 48 = €42, a gap of €15. Base = 16 − 13 = 3 thousand units = 3,000 units. Welfare loss = ½ × 3,000 × 15 = €22,500 a week. 1 for MSC = 25 + 2Q, 1 for Q₁ = 16, 1 for Q\* = 13, 1 for the final figure with its unit. An answer of €22.50 has ignored that Q is in thousands and is capped at 3.

Q5. A flu vaccination generates a positive externality of consumption: the person vaccinated is protected, and so is everybody they would otherwise have infected. The externality comes from consumption, so MSB lies above MPB by the external benefit per jab, while MPC = MSC is one line. The free market settles where MPB meets MPC, at Q₁, but the socially optimum quantity is the larger Q\* where MSB meets MSC, so the market under-consumes and the triangle between Q₁ and Q\* is the benefit society forgoes. A subsidy to pharmacies equal to the external benefit shifts supply down to MPC − subsidy. The price patients pay falls from P₁ to P₂, so quantity demanded rises along MPB to Q\; the pharmacy receives P₂ plus the subsidy, together P\, so it will supply that larger quantity. At Q\* marginal social benefit equals marginal social cost and allocative efficiency is restored. The shaded rectangle, the subsidy times Q\, is the cost to the government, and that money has an opportunity cost elsewhere. up to 4 for the diagram — 1 for axes and labels, 1 for MSB above MPB with MPC = MSC as one line, 1 for the subsidised supply curve with Q₁ and Q\ marked, 1 for the welfare loss or the subsidy cost shaded. Up to 6 for the explanation — 2 for the merit good and the positive consumption externality with an example, 2 for why the market under-consumes, referring to Q₁ and Q\, 2 for how the subsidy shifts supply to reach Q\. Full marks need explicit reference to the diagram; "the government pays part of the cost so more people buy it", with no curves named, is capped at 4.


Educerie · written from the published IB Diploma Programme Economics guide, first assessment 2022, section 2.8 Market failure—externalities and common pool or common access resources. Original text, examples and questions. Diagrams drawn by Educerie. Last reviewed 10 September 2026.

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