Quantity Controls

We looked at an example of the government regulating prices, and concluded that a deviation from the equilibrium quantity is what causes a deadweight loss. What if the government regulates quantity directly? It should be fairly obvious that this will also cause a deadweight loss, but the distribution of surplus will be different.

In Figure 4.6a, we show the market for oil. The equilibrium quantity is 3.5 million barrels of oil. Assume the government, pursuing an environmental strategy, wants to reduce both the level of production and consumption. A policy to reduce quantity is called a quota, a government-imposed restriction on the number of goods bought and sold. If the government sets a quota of 2 million barrels, both consumers and producers have to reduce consumption and production to that level.

We can see from Figure 4.6b that as a result of the quota, price increases from $2.9/gallon to $3.8/gallon. This may seem counter-intuitive. The government set a restriction on quantity, and price changed as well. Notice that at the restricted quantity of 2 million barrels, consumers are willing to pay $3.8/gallon. The producers, seeing the consumers are willing to pay more than the previous price of $2.9/gallon, will increase prices to $3.8/gallon.

Market Surplus

To examine the effects of this quota on the individual stakeholders, and the market as a whole, we can calculate the change in Consumer Surplus, Producer Surplus, and Market Surplus.

Before

The market surplus before has not been depicted, as the process should be routine. Ensure you understand how to find the following values:

Consumer Surplus = $3.675 million

Producer Surplus  = $5.075 million

Market Surplus = $8.75 million

After

The market surplus after the policy can be calculated with:

Consumer Surplus (Blue Area) = $1.2 million

Producer Surplus (Red Area + Yellow Area)= $5.9 million

Market Surplus = $7.1 million

Comparing market surplus before and market surplus after, notice that the effect of a quota is similar to that of a price floor. The main difference is that the government put a restriction on quantity, and price changed as a by-product, whereas with price restrictions the government puts a restriction on price, with quantity changing as a by-product.