International Trade
& Public Policy
Explore how nations gain from trade through comparative advantage, and how tariffs and quotas reshape surplus, prices, and welfare.
Why Do Nations Trade?
Countries trade because they differ in their ability to produce goods. Even if one country can produce everything more cheaply, trade still benefits both parties. The key insight: what matters is not absolute cost, but relative cost: the opportunity cost of production.
Comparative vs. Absolute Advantage
Computing Opportunity Cost
Suppose two countries each have 100 labor hours and can produce Wheat (W) or Cloth (C):
| Country A | Country B | |
|---|---|---|
| Max Wheat | 100 units | 50 units |
| Max Cloth | 50 units | 40 units |
| OC of 1 Wheat | \(\frac{1}{2}\) Cloth | \(\frac{4}{5}\) Cloth |
| OC of 1 Cloth | 2 Wheat | \(\frac{5}{4}\) Wheat |
The World Price and Domestic Markets
When a country opens to trade, the world price (\(P_w\)) determines whether it exports or imports a good. Compare \(P_w\) to the domestic equilibrium price (\(P_d\)):
Importing Country: Surplus Analysis
What Is a Tariff?
A tariff is a tax on imported goods. It raises the domestic price above the world price, shrinking imports and creating deadweight loss. The new domestic price with a tariff is:
Tariff Effects: Deadweight Loss
Import Quotas
A quota is a legal limit on the quantity of imports. Like a tariff, it raises the domestic price and reduces imports, but the key difference lies in who captures the revenue rectangle.
Tariff vs. Quota: Side by Side
| Tariff | Quota | |
|---|---|---|
| Mechanism | Tax on imports | Quantity limit on imports |
| Price Effect | Raises domestic price | Raises domestic price |
| Revenue | Government collects | Quota rents (foreign/license holders) |
| DWL Triangles | Two (a + b) | Two (a + b) |
| Net Welfare Loss | a + b | a + b + revenue rectangle* |
| Flexibility | Imports adjust if demand shifts | Fixed quantity regardless of demand |
Surplus Effects of Trade Restrictions
When a tariff or quota is imposed on an importing country, the following changes occur relative to free trade:
How to Analyze a Trade Policy Problem
Example: Free Trade Surplus
A small country has domestic demand \(Q_d = 100 - 2P\) and domestic supply \(Q_s = 3P - 50\). The world price is \(P_w = 20\). Find quantities and identify trade.
Example: Adding a \$5 Tariff
Using the same market, the government imposes a tariff of \(t = 5\). The new domestic price becomes \(P_w + t = 25\).
Example: Equivalent Quota
Instead of the tariff, the government imposes a quota of 25 units (the same import quantity the tariff produced). Compare the welfare effects:
| Tariff (\(t = 5\)) | Quota (25 units) | |
|---|---|---|
| Domestic Price | \$25 | \$25 |
| Imports | 25 units | 25 units |
| CS Loss | Same | Same |
| PS Gain | Same | Same |
| Revenue/Rents | \$125 to govt | \$125 to license holders |
| DWL | \$62.50 | \$62.50 |
| Net Domestic Welfare Loss | \$62.50 | \$62.50 + \$125* |
Common Mistakes
Question 1 of 5
Country A can produce 20 wheat or 10 cloth. Country B can produce 12 wheat or 8 cloth. Which country has the comparative advantage in cloth?
Question 2 of 5
When a small country opens to trade and the world price is below the domestic equilibrium price, which of the following occurs?
Question 3 of 5
A tariff on imported shoes raises the domestic price from \(\$40\) to \(\$50\). Imports fall from 200 to 120 units. What is the government's tariff revenue?
Question 4 of 5
Compared to an equivalent tariff, an import quota where licenses are given to foreign exporters results in:
Question 5 of 5
A country has \(Q_d = 80 - P\) and \(Q_s = 2P - 40\). The world price is \(\$30\). A tariff of \(\$6\) is imposed. What is the deadweight loss?
At \(P_w + t = 36\): \(Q_d = 80 - 36 = 44\), \(Q_s = 2(36) - 40 = 32\). Imports = 12.
Left DWL: \(\frac{1}{2}(6)(32 - 20) = 36\). Right DWL: \(\frac{1}{2}(6)(50 - 44) = 18\).
Total DWL = \(36 + 18 = \$54\).