Interactive Externalities Diagram

Model negative and positive externalities, welfare loss triangles, and Pigouvian taxes and subsidies. Supports Edexcel (2 types) and AQA (4 types).

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Exam board:
Price / Cost (£)Quantity (Q)2020404060608080100100120120Welfare LossMPB = MSB (D)MPC (S)MSCQpQsPpPslearnwithotti.co.uk/diagrams

Externality size

External cost per unit (£)£25

Demand (MPB)

Demand level (MPB intercept)100

Supply (MPC)

Supply level (MPC intercept)20
Producers impose costs on third parties (e.g. pollution from a factory). The social cost (MSC) exceeds the private cost (MPC). The free market overproduces at Qp — the socially optimal output is Qs where MSC = MPB. A Pigouvian tax equal to the external cost closes the gap.

Qp = 50.0 (private market) vs Qs = 38.1 (socially optimal). Welfare loss ≈ 148.8 (area of triangle).

An externality is a cost or benefit that falls on a third party who is not involved in the transaction. Because buyers and sellers ignore these external effects, a free market produces too much of goods with external costs and too little of goods with external benefits. This tool shows the gap between the market outcome and the social optimum, and the size of the welfare loss.

How to use this tool

  1. Choose an exam board. Edexcel shows negative production and positive consumption externalities; AQA adds negative consumption and positive production externalities.
  2. Pick an externality type, then on the Externality tab set the “External cost per unit (£)” or “External benefit per unit (£)”, and move the demand (MPB) and supply (MPC) curves with their sliders.
  3. On the Policy tab, use the “Pigouvian tax (£)” or “Pigouvian subsidy (£)” slider to draw the policy line. The hint shows the optimal tax or subsidy and how far your choice is from it.
  4. Open the Readout tab to compare private output (Qp) with the socially optimal output (Qs), the over- or underproduction gap and the size of the welfare loss triangle.

What to notice

  • With a negative production externality, marginal social cost (MSC) is above marginal private cost (MPC) by the external cost per unit, so the market output Qp is higher than the socially optimal output Qs.
  • With a positive consumption externality, marginal social benefit (MSB) is above marginal private benefit (MPB), so the good is underconsumed: Qp is below Qs.
  • The welfare loss triangle sits between Qp and Qs, bounded by the social and private curves. It grows as the external cost or benefit per unit gets larger.
  • A Pigouvian tax equal to the marginal external cost at Qs shifts MPC up to meet MSC at the social optimum; a subsidy equal to the marginal external benefit does the same for underconsumption. The tool marks when the policy is optimal.
  • Moving the tax or subsidy slider draws the policy line but does not redraw the equilibrium. Read the new output where the policy line crosses the other private curve.
  • The market failure is a misallocation of resources: the price does not reflect the full social cost or benefit, so the market sends the wrong signal about how much to produce.

Using it in the exam

Label the axes price/cost and quantity, label every curve (MPC, MSC, MPB, MSB), mark Qp and Qs with their prices, and shade the welfare loss triangle so that it points towards the social optimum. Then explain the diagram in words: producers ignore the external cost, so they produce where MPC = MPB rather than where MSC = MSB, overproducing by the gap between Qp and Qs, and each unit in that range costs society more than it is worth. When you add a tax, show the supply curve shifting up by the tax and output moving towards Qs. Name a real example, such as pollution from a factory or the external benefits of vaccination.

Evaluate: A Pigouvian tax only moves output to the social optimum if the government can measure the external cost accurately, which is difficult when it is spread across many people or over time. If demand is price inelastic, the tax may raise revenue but change consumption little. Taxes can be regressive and encourage evasion, and subsidies have an opportunity cost. Badly designed intervention risks government failure, so regulation, tradable pollution permits or better information may be more effective in some markets.

Revise the theory

Revise the theory behind this tool in our Edexcel revision notes:

Practise drawing the static versions you will need in the exam:

Frequently asked questions

What is the difference between private and social cost?

Private cost is the cost paid by the producer or consumer making the decision, such as wages, materials and energy. Social cost is the full cost to society: private cost plus any external cost imposed on third parties, such as pollution. Marginal social cost equals marginal private cost plus marginal external cost.

What does the welfare loss triangle show?

It shows the net loss to society from producing at the market output instead of the social optimum. For a negative externality, each unit between Qs and Qp has a social cost greater than its social benefit, and the triangle adds up those losses. For a positive externality, it shows the benefit lost because units worth more to society than they cost are not produced.

Why might a tax on a negative externality fail?

The external cost is hard to value in money, so the tax may be set too high or too low. If demand is price inelastic, consumption may fall only a little. Firms may pass the tax on to consumers or move production abroad, and high taxes can encourage illegal markets. Any of these can lead to government failure.

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