IB Economics SL & HL Topic 2.8 — Externalities & Common Pool Resources Paper 1 & 2 Diagram skill ~12 min read

Government Responses to Market Failure

Once you can show that a market is making too much or too little of something, the obvious question follows: what do you actually do about it? Every tool in this topic has the same target — move the market from Qe towards Qopt and shrink that welfare loss triangle.

📚 What you need to know

Taxing a negative externality

The logic is neat. If the problem is that a firm ignores a cost, make the firm pay it. A tax equal to the external cost per unit lifts MPC until it sits on MSC, and the market’s own selfish equilibrium lands on the socially best output.

This is the polluter pays principle: whoever causes the harm carries the cost of it.

A tax that matches the external cost Lift MPC by the tax and it lands on MSC Costs and benefits Quantity MSC = MPC + tax S = MPC D = MPB = MSB Popt Pe Qopt Qe size of the tax output falls to Qopt In theory the welfare loss triangle disappears completely In practice nobody knows the external cost precisely, so it only shrinks
Draw the tax so the new supply curve lies exactly on MSC. That single detail shows the examiner you understand what a Pigouvian tax is aiming at.
Notice that the tax does not ban anything. Firms are still free to pollute — they just have to pay the true cost of doing it. Being free to choose while facing honest prices is exactly what economists like about this tool.

Subsidising a positive externality

Flip the problem. If people ignore a benefit, pay them for it. A subsidy equal to the external benefit per unit pushes supply right until the market reaches Qopt.

A subsidy that matches the external benefit Cheaper for buyers, so consumption rises to Qopt Costs and benefits Quantity S = MPC = MSC S + subsidy MSB D = MPB Pe buyers pay Qe Qopt consumption rises Buyers pay less and the government pays the difference Which is where your opportunity cost paragraph comes in
Same target as the tax diagram, opposite direction. The market ends up at Qopt because the price finally reflects the full benefit.

The full toolkit

ToolWhat it doesBest used when
Indirect (Pigouvian) taxRaises price, cuts quantity, raises revenueGoods are over-provided because of external costs
Carbon taxPuts a price on each tonne of emissionsProduction has a heavy carbon footprint
Producer subsidyLowers costs and price, raises quantityMerit goods and clean technology are under-provided
Legislation and regulationSets limits and punishes breachesThe harm is serious enough that a price signal is not enough
EducationShifts demand by changing beliefsMerit and demerit goods, over the long run
Tradable permitsCaps total emissions and lets firms trade the right to polluteEmissions can be measured and a cap can be enforced
Government provisionSupplies the good directly, free at the point of usePublic goods and badly under-provided merit goods

Tradable permits, briefly

The government decides how much pollution is acceptable in total, prints that many permits, and hands or sells them to firms. Each permit allows one tonne of emissions. A firm that wants to emit more must buy permits from a firm that emits less.

The clever part is what this does to incentives. Cutting emissions is now worth money, because unused permits can be sold. A firm compares the cost of cleaner technology with the cost of permits and picks whichever is cheaper — and either way, total emissions stay under the cap.

The honest criticism is that a permit is still a licence to pollute, and large firms can afford to buy up permits while smaller rivals cannot. If the cap is set too generously, permits are cheap and nothing changes at all.

Worked examples

WORKED EXAMPLE

Setting a carbon tax

A country’s power stations emit 40 million tonnes of carbon dioxide a year. The estimated external cost is $30 per tonne. Calculate the revenue from a carbon tax set at the external cost, assuming emissions do not change in the first year. [3]

Step 1: Tax per tonne $30, because a Pigouvian tax equals the external cost Step 2: Revenue 40,000,000 × 30 = 1,200,000,000 Revenue = $1.2 billion Step 3: Comment If emissions do fall, revenue falls too — and that is a sign the tax is working. a shrinking carbon tax take is good news, not bad
WORKED EXAMPLE

Permits or cleaner technology?

A firm emits 620,000 tonnes but holds permits for 500,000. Extra permits cost $25 each. Cleaner equipment that removes the excess would cost $2,400,000. What should the firm do? [4]

Step 1: Permits needed 620,000 − 500,000 = 120,000 permits Step 2: Cost of buying them 120,000 × 25 = $3,000,000 Step 3: Compare with the equipment 3,000,000 − 2,400,000 = 600,000 Install the equipment and save $600,000 this is exactly the incentive the scheme is designed to create
WORKED EXAMPLE

How much welfare loss did the tax remove?

Before a tax, output was 120,000 units against an optimum of 90,000, with a gap of $20 between MSC and MSB at the free market output. After the tax, output falls to 100,000 and the gap at that output is $7. Calculate the fall in welfare loss. [4]

Step 1: Welfare loss before (30,000 × 20) ÷ 2 = $300,000 Step 2: Welfare loss after base: 100,000 − 90,000 = 10,000 (10,000 × 7) ÷ 2 = $35,000 Step 3: Reduction 300,000 − 35,000 = 265,000 Welfare loss falls by $265,000 the tax did not remove the failure, but any reduction in welfare loss is a gain

💡 Exam tip

⚠ Common mix-up

Up next: Collective and International Responses — what to do when the problem is bigger than any one government.

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