Why governments intervene
- To raise revenue (indirect taxes).
- To support firms or industries (subsidies, price floors for farmers).
- To support households on low incomes (price ceilings on rent or food).
- To influence the level of production or consumption (taxing harmful goods, subsidising useful ones).
- To correct market failure (see 2.8 and 2.9) and promote equity.
Price ceilings (maximum prices)
A legal maximum set below equilibrium. Diagram in words: D and S cross at Pe, Qe. A horizontal line Pc lies below Pe. At Pc quantity demanded (Qd) exceeds quantity supplied (Qs), creating a shortage equal to Qd minus Qs. Quantity actually traded falls to Qs.
Consequences: shortages, queues, rationing by waiting lists, parallel (black) markets, lower quality, and a welfare loss triangle between D and S from Qs to Qe. Consumers who obtain the good gain; producers and consumers who miss out lose.
Price floors (minimum prices)
A legal minimum set above equilibrium. At Pf, quantity supplied exceeds quantity demanded: a surplus. In agriculture, the government may buy the surplus, which costs taxpayers and needs storage or disposal. A minimum wage is a price floor in the labour market and may create unemployment. Producers gain; consumers pay more; resources are overallocated.
Indirect taxes
A tax on spending. A specific tax is a fixed amount per unit and shifts supply up in parallel by the tax; an ad valorem tax is a percentage of price, so the gap between the curves widens as price rises.
Diagram in words: S1 shifts up to S1 + tax. The new equilibrium has a higher consumer price Pc, a lower quantity Qt, and a lower price received by producers Pp, where Pc − Pp equals the tax. Government revenue is the rectangle (Pc − Pp) × Qt. The part of the rectangle above the original price is the consumer burden; the part below is the producer burden. A welfare loss triangle sits between Qt and Qe.
The more inelastic demand is relative to supply, the more of the tax consumers bear.
Subsidies
A payment per unit to producers that shifts supply down by the subsidy. Consumers pay less, producers receive more (price plus subsidy), and output rises. The cost to government is subsidy × new quantity. In a market without externalities, subsidies cause overallocation and a welfare loss.
Other tools
- Direct provision: government supplies goods such as schools and roads.
- Command-and-control regulation: laws, bans, standards and licences.
- Consumer nudges: defaults and choice architecture (see 2.4).
(HL) Worked example: specific tax
\(Q_d = 120 - 4P\), \(Q_s = -30 + 6P\). Equilibrium: \(150 = 10P\), so P = 15, Q = 60.
A USD 5 per unit tax: new supply \(Q_s = -30 + 6(P - 5) = -60 + 6P\).
- \(120 - 4P = -60 + 6P \Rightarrow P = 18\), \(Q = 48\). Producers keep 18 − 5 = USD 13.
- Tax revenue \(= 5 \times 48 =\) USD 240.
- Consumer burden \(= (18 - 15) \times 48 = 144\); producer burden \(= (15 - 13) \times 48 = 96\).
- Welfare loss \(= \frac{1}{2} \times 5 \times (60 - 48) = 30\).
Price ceiling at USD 10: \(Q_d = 80\), \(Q_s = 30\), shortage = 50 units.
Price floor at USD 18 with government buying the surplus: \(Q_d = 48\), \(Q_s = 78\), surplus = 30, cost = 18 × 30 = USD 540.
Common mistakes
- Drawing a price ceiling above equilibrium (it would have no effect).
- Shifting demand instead of supply for a tax on producers.
- Using the old quantity to calculate tax revenue.
- Forgetting that the producer's price under a tax is the consumer price minus the tax.
Exam tips
- 10-mark questions: draw the diagram fully (both prices, both quantities, shortage or surplus, shaded revenue or cost) and explain effects on consumers, producers and government.
- 15-mark questions: evaluate with stakeholders, elasticities, short versus long run, unintended effects (black markets, dependence on subsidies) and alternatives.
- HL: set out each calculation step and use units.