Government intervention in markets
Key terms
Define each term.
Multiple choice
Circle the correct answer.
A government sets a minimum price for wheat above the equilibrium price. What is the most likely result?
Which measure is most suitable for making sure a public good such as street lighting is provided?
A government imposes a specific tax of $2 on a good whose demand is perfectly price inelastic. Who bears the tax?
Worked problems
Show your working.
Reading a shortage from a demand and supply schedule. The monthly rental market for flats in a city is shown below. Rent $800: quantity demanded 6,000, quantity supplied 2,000. Rent $1,000: quantity demanded 5,000, quantity supplied 3,000. Rent $1,200: quantity demanded 4,000, quantity supplied 4,000. Rent $1,400: quantity demanded 3,000, quantity supplied 5,000. The government sets a maximum rent of $1,000. Identify the equilibrium, then calculate the effect of the maximum rent.
Calculating the incidence of a specific tax. Before a tax, a good sells at $4.00 and 1,000 units are sold each week. The government imposes a specific tax of $1.00 per unit. The new market price is $4.70 and weekly sales fall to 800 units. Calculate the tax revenue, the share paid by consumers and the share paid by producers, and state what this suggests about elasticity.
Who gains from a subsidy, and what it costs. A good sells at $10.00 and 500 units are bought each week. The government pays producers a subsidy of $2.00 per unit. The price falls to $8.80 and weekly sales rise to 600. Calculate the cost to the government and how the benefit is split.
Chains of reasoning
The steps are in the wrong order. Write the letters in the order that makes a linked chain.
Why the less responsive side of the market pays more of a tax
- A The burden therefore falls mainly on whichever side of the market is less able to respond to the price change.
- B The same logic runs on the supply side: producers who cannot easily reduce output bear more of the tax.
- C As the price rises, consumers buy less, which is a movement along the demand curve.
- D If demand is price inelastic, consumers keep buying almost the same quantity, so firms can pass most of the tax on in a higher price.
- E At the old price there is now excess demand at the new cost of supply, so the market price rises.
- F If demand is price elastic, consumers cut back sharply, so firms cannot raise the price much and must absorb most of the tax out of the price they keep.
- G The government puts a specific tax on each unit sold, so the supply curve shifts vertically upwards by the amount of the tax.
How a maximum price creates a black market
- A A black market develops, where the price may end up higher than the original equilibrium, since supply at the legal price has fallen.
- B The policy intended to help poorer consumers can leave them facing either no supply or a black market price they cannot afford.
- C Those buyers are willing to pay well above the maximum price to get it.
- D Some sellers, or buyers who obtained the good at the controlled price, resell it illegally at the higher price.
- E At the lower price quantity demanded rises and quantity supplied falls, so there is a shortage.
- F Price can no longer ration the good, so some buyers who value it highly cannot obtain it legally.
- G The government sets a maximum price below the equilibrium price.
How a buffer stock stabilises prices, and why it tends to fail
- A After a good harvest, supply shifts right and the price falls towards the floor.
- B The agency sells from its stock, adding to supply, which holds the price at the ceiling and protects consumers.
- C After a poor harvest, supply shifts left and the price rises towards the ceiling.
- D A buffer stock agency sets a floor price and a ceiling price for a commodity such as coffee or grain.
- E If the floor is set too high, the agency buys far more than it ever sells, its stocks grow, and it eventually runs out of money to keep buying, at which point the scheme collapses.
- F The agency buys the surplus, adding to its stock, which holds the price at the floor and protects farmers' incomes.
- G The scheme only balances if good and bad harvests roughly cancel out over time.
Diagrams
Draw a demand and supply diagram for rented flats. Mark the equilibrium rent and quantity. Draw a horizontal line for a maximum rent below the equilibrium, and label the quantity demanded, the quantity supplied and the shortage.
Draw two demand and supply diagrams side by side. On the first, show an indirect tax on cigarettes shifting supply to the left, and mark the old and new price and quantity. On the second, show a subsidy on bus travel shifting supply to the right, and mark the old and new price and quantity.
Draw a market with relatively inelastic demand. Impose a specific tax by drawing S + tax parallel to and above the original supply curve. Mark the price consumers pay, the price producers keep, and the new quantity. Shade the consumer's share of the tax revenue and the producer's share in different ways.
Answers
Mixed economic system: An economy in which resources are allocated partly by the price mechanism and partly by the government, with both a private sector and a public sector.
Maximum price: A legal upper limit on the price of a good, set below the equilibrium price to make it more affordable.
Minimum price: A legal lower limit on the price of a good, set above the equilibrium price to raise producers' incomes or to discourage consumption.
Indirect tax: A tax on spending, collected from the seller, which raises firms' costs and therefore the price of the good.
Subsidy: A payment by the government to producers that lowers their costs, so that more of a good is supplied at a lower price.
Buffer stock scheme: A scheme in which an agency buys a commodity when its price falls to a floor and sells from its stock when the price rises to a ceiling, to keep the price within a band.
B. Above equilibrium, farmers want to supply more and buyers want to buy less, so quantity supplied exceeds quantity demanded. The surplus has to go somewhere, which is why minimum price schemes for farm products usually require the government to buy it.
C. A public good is non-excludable, so a private firm cannot make people pay for it and the market provides none. Taxing or capping the price of something that is not being supplied changes nothing, and privatisation hands it to firms that cannot charge for it. The government has to provide it and pay for it through taxation.
B. With perfectly inelastic demand, consumers buy the same quantity whatever the price, so firms can raise the price by the full $2 without losing any sales. The whole burden falls on consumers. Quantity not changing is exactly why the tax is fully passed on, not a reason nobody pays.
Step 1. Find the equilibrium rent and quantity. Equilibrium is where quantity demanded equals quantity supplied. That happens at $1,200, where 4,000 flats are demanded and 4,000 are supplied.
Step 2. Check whether the maximum rent has any effect. $1,000 is below the equilibrium of $1,200, so the maximum rent binds. A maximum set above $1,200 would change nothing.
Step 3. Read the quantities at the maximum rent. At $1,000, 5,000 flats are demanded but only 3,000 are supplied.
Step 4. Calculate the shortage. Shortage = quantity demanded minus quantity supplied = 5,000 - 3,000 = 2,000 flats.
Step 5. State who gains and who loses. The 3,000 households who find a flat pay $200 a month less. But 1,000 fewer flats are rented than at equilibrium (3,000 against 4,000), and 2,000 households who want a flat at $1,000 cannot find one. The policy helps some tenants and harms others.
Step 5 is where the marks are. A maximum price does not make the good more available; it makes it cheaper for those who get it and less available overall. Say both halves.
Step 1. Calculate total tax revenue. Revenue = tax per unit x quantity sold after the tax = $1.00 x 800 = $800 a week.
Step 2. Find the consumer's share per unit. Consumers now pay $4.70 instead of $4.00, so they bear $0.70 of each $1.00 of tax.
Step 3. Find the producer's share per unit. The firm receives $4.70 but hands $1.00 to the government, so it keeps $3.70, which is $0.30 less than before. Producers bear $0.30 per unit.
Step 4. Convert to totals. Consumers pay $0.70 x 800 = $560 of the revenue. Producers pay $0.30 x 800 = $240. The two add up to the $800 collected, which is a useful check.
Step 5. Interpret. Consumers bear 70% of the tax. That means demand is less price elastic than supply in this market: buyers could not easily switch away, so sellers were able to pass most of the tax on.
Always check that the two shares add up to the tax per unit and the two totals add up to the revenue. It catches most arithmetic slips before the examiner does.
Step 1. Cost to the government. Cost = subsidy per unit x new quantity = $2.00 x 600 = $1,200 a week.
Step 2. Consumers' gain per unit. Consumers pay $8.80 instead of $10.00, a gain of $1.20 per unit.
Step 3. Producers' gain per unit. Producers receive $8.80 from the buyer plus $2.00 from the government, so $10.80 in total, which is $0.80 more than before.
Step 4. Check and interpret. $1.20 + $0.80 = $2.00, the full subsidy. Consumers receive 60% of the benefit and producers 40%. The subsidy has raised consumption by 100 units a week at a cost of $1,200, which is the figure a government would weigh against the benefit it wanted.
G, E, C, D, F, B, A
- The government puts a specific tax on each unit sold, so the supply curve shifts vertically upwards by the amount of the tax.
- At the old price there is now excess demand at the new cost of supply, so the market price rises.
- As the price rises, consumers buy less, which is a movement along the demand curve.
- If demand is price inelastic, consumers keep buying almost the same quantity, so firms can pass most of the tax on in a higher price.
- If demand is price elastic, consumers cut back sharply, so firms cannot raise the price much and must absorb most of the tax out of the price they keep.
- The same logic runs on the supply side: producers who cannot easily reduce output bear more of the tax.
- The burden therefore falls mainly on whichever side of the market is less able to respond to the price change.
This is the reason governments tax cigarettes, alcohol and fuel so heavily. Demand is inelastic, so the tax raises a lot of revenue, most of it paid by consumers, and it reduces consumption by less than people expect.
G, E, F, C, D, A, B
- The government sets a maximum price below the equilibrium price.
- At the lower price quantity demanded rises and quantity supplied falls, so there is a shortage.
- Price can no longer ration the good, so some buyers who value it highly cannot obtain it legally.
- Those buyers are willing to pay well above the maximum price to get it.
- Some sellers, or buyers who obtained the good at the controlled price, resell it illegally at the higher price.
- A black market develops, where the price may end up higher than the original equilibrium, since supply at the legal price has fallen.
- The policy intended to help poorer consumers can leave them facing either no supply or a black market price they cannot afford.
The last step is the evaluation. A maximum price is most likely to help the people it targets when it is set only a little below equilibrium, when supply is inelastic so little output is lost, and when it is combined with a way of allocating the good fairly, such as rationing coupons.
D, A, F, C, B, G, E
- A buffer stock agency sets a floor price and a ceiling price for a commodity such as coffee or grain.
- After a good harvest, supply shifts right and the price falls towards the floor.
- The agency buys the surplus, adding to its stock, which holds the price at the floor and protects farmers' incomes.
- After a poor harvest, supply shifts left and the price rises towards the ceiling.
- The agency sells from its stock, adding to supply, which holds the price at the ceiling and protects consumers.
- The scheme only balances if good and bad harvests roughly cancel out over time.
- If the floor is set too high, the agency buys far more than it ever sells, its stocks grow, and it eventually runs out of money to keep buying, at which point the scheme collapses.
The political temptation is always to set the floor high, because farmers lobby for it. That is why buffer stocks usually fail in the direction of oversupply rather than shortage.
The maximum price line must be drawn below equilibrium. Drawn above it, the control does nothing, and examiners mark the diagram as showing no understanding of when a maximum price binds.
Always label the new supply curve (S + tax, or S + subsidy) and show both equilibrium points. A diagram with only the shifted curve and no change marked on the axes earns little.
The tax revenue is the rectangle between the price consumers pay and the price producers keep, over the new quantity. The part above the old price is paid by consumers; the part below it by producers. Candidates often shade the whole area between the supply curves instead, which is wrong.