China's export restrictions on resources for semiconductors

The Financial Times reported last week (paywalled):

Chinese export controls on crucial semiconductor materials are hitting supply chains and stoking fears of shortfalls in western production of advanced chips and military optical hardware.

Beijing’s curbs on shipments of germanium and gallium, which are used for semiconductor applications and military and communications equipment components, have led to an almost twofold increase in the minerals’ prices in Europe over the past year.

China introduced the restrictions, which it says safeguard its “national security and interests”, last year in response to US-led controls on sales of advanced chips and chipmaking equipment.

The FT article focuses on the effect of the export controls on Europe. However, I want to look at the effect of the export controls (an export quota) on the prices of the resources (gallium and germanium) in China. However, let's start by considering why China is an exporter, and the gains from trade for China. This is demonstrated in the diagram below. China has a comparative advantage producing these resources. That means that China can produce gallium (or germanium) at a lower opportunity cost than other countries. On a supply-and-demand diagram like the one below, it means that the domestic market equilibrium price of gallium (PD) would be below the price of gallium on the world market (PW). Because the domestic price is lower than the world price, if China is open to trade there are opportunities for traders to buy gallium in the domestic market (at the price PD), and sell it on the world market (at the price PW) and make a profit (or maybe the suppliers themselves sell directly to the world market for the price PW). In other words, there are incentives to export gallium. The domestic consumers would end up having to pay the price PW for gallium as well, since they would be competing with the world price (and who would sell at the lower price PD when they could sell on the world market for PW instead?). At this higher price, the domestic consumers choose to purchase Qd0 gallium, while the domestic suppliers sell Qs0 gallium (assuming that the world market could absorb any quantity of gallium that was produced). The difference (Qs0 - Qd0) is the quantity of gallium that is exported. Essentially the demand curve with exports follows the red line in the diagram.

In terms of economic welfare, if there was no international trade in gallium, the market would operate at the domestic equilibrium, with price PD and quantity Q0. Consumer surplus (the gains to domestic gallium consumers) would be the area AEPD, the producer surplus (the gains to domestic gallium producers) would be the area PDEF, and total welfare (the sum of consumer surplus and producer surplus, or the gains to society overall) would be the area AEF. With trade, the consumer surplus decreases to ABPW, the producer surplus increases to PWCF, and total welfare increases to ABCF. Since total welfare is larger (by the area BCE), this represents the gains from trade.

Now consider what would happen if there is an export quota limiting the quantity of gallium exports below (Qs0 - Qd0). This is shown in the diagram below. Let's say that the quantity of exports is reduced to the amount between B and G on the diagram (about half the amount of exports that were previously occurring). Now consider what happens to the demand curve (including exports). The upper part represents the domestic consumers with high willingness-to-pay for gallium. Then there is a limited quantity of exports that are allowed under the export quota, at the world price PW. After that, there are still profit opportunities for domestic suppliers (that is, there are still some domestic consumers who are willing to pay more than what it costs the suppliers to produce gallium). So, the demand curve (including the export quota) pivots at the point G, and follows a parallel path to the original demand curve (i.e. the demand curve including exports follows the red line in the diagram). The domestic price is the price where supply is equal to demand (P1). The domestic consumers choose to purchase Qd1 gallium at the price P1, while the domestic suppliers sell Qs1 gallium at that price. The difference (Qs1 - Qd1) is the quantity of exports of gallium.

Now consider the areas of economic welfare. The consumer surplus is larger than it was without the restricted exports (it is now the area AJP1), the producer surplus is smaller than it was without the restricted exports (it is now the area P1HF). There is a new area of welfare KLHJ, which is the profit that exporters of gallium would receive from exporting, because they can purchase the gallium at the price P1 domestically, and then sell it to the world market at the price PW. This area KLHJ is the licence-holder surplus. Total welfare is smaller than without the restricted exports (it is now the area AJHF+KLHJ). There is a deadweight loss (a loss of total welfare arising from the restricted exports) equal to the area [BKJ + LCH] - these areas were part of total welfare with trade and no restricted exports, but have now been lost. The reduction in exports makes domestic gallium suppliers worse off, as well as society overall (in terms of economic welfare in total). However, domestic gallium consumers benefit in terms of higher consumer surplus, and the export licence holders are a new group that gains from these restrictions.

Now, the model we used above relies on an assumption that Chinese decisions about gallium (or germanium) exports do not affect the world price. In fact, because China produces 98 percent of the world's gallium, and 60 percent of the world's germanium (according to the FT article), this is unlikely to be true. When China restricts exports through the quota, the world price will increase. That has the effect of increasing the surplus for the export licence holders, but otherwise doesn't affect domestic consumers or producers. However, it will make international consumers worse off, since they would now have to pay a higher price for gallium. And that's what the FT article shows. However, now we know that it isn't just the global consumers of these resources who are worse off, but Chinese mining companies, and Chinese society generally, as well.