The Heckscher-Ohlin-Samuelson Theorem

1. The Heckscher-Ohlin-Samuelson Theorem • ECN 3891 • International Economics - Honors • Dr. Ali Moshtagh

2. The Classical and Neo-Classical Models of International Trade • The Classical model of international trade is based on the “Labor Theory of Value”; it assumes only one factor of production, identical technology between the two countries, identical tastes, etc.. The model promotes specialization and requires complete specialization for at least one country, due to constant opportunity costs. • Given a concave production possibilities frontier, international trade should lead to incomplete specialization, due to increasing costs. • The Neo-Classical models of international trade assume more than one factor of production. The Heckscher-Ohlin-Samuelson model (also known as the Factor Endowment or the Variable Proportion Model) not only describes the pattern of trade, but it also predicts the impact of trade on the national income and returns to the factors of production.

3. Other Assumptions: • two countries, two factors, two products; • perfect competition in all markets; • Free trade; • Factors of production are available in fixed amounts in each country; • Full mobility of factors of production between industries within each country; • Immobility of factors of production between countries; • The two countries are alike with respect to tastes; • Technology is available to both countries; and • Linear homogeneous production functions of degree one (constant returns to scale).

4. The Heckscher-Ohlin Theorem Critical Assumptions: • Countries are characterized by different factor endowments--a country is capital abundant if it has a higher ratio of capital to other factors than does its trading partner; • There are different factor intensities between products--a product is capital-intensive if, at identical wages and rents, its production requires more capital per worker than does the other product.

5. The H-O Theorem • Given identical production functions but different factor endowments between countries, a country will tend to export the commodity which is relatively intensive in her relatively abundant factor • In general, countries tend to have comparative advantage in the products that are relatively intensive in their relatively abundant factors

6. The Stolper-Samuelson Theorem: Assumptions: • One country produces two goods (wheat and cloth) with two factors of production (capital and labor); • neither good is an input into the production of the other; • competition prevails; • factor supplies are given; • both factors are fully employed; • both factors are mobile between sectors (but not between countries); • one good (wheat) is capital-intensive and the other (cloth) is labor-intensive); • opening trade raises the relative price of the export good.

7. The Stolper-Samuelson Theorem • moving from no trade to free trade raises the returns to the factor used intensively in the rising-price industry, and lowers the returns to the factor used intensively in the falling-price industry, regardless of which goods the sellers of the two factors prefer to consume

8. The Factor Price Equalization Theorem Assumptions: • there are two countries using two factors of production producing two products; • competition prevails in all markets; • each factor supply is fixed, and there is no migration between countries; • each factor is fully employed in each country with or without trade; • there are no transportation or information costs; • free trade; • production functions exhibit constant returns to scale, and are the same between countries for any industry; • production functions are not subject to factor intensity reversals; and • both countries produce both products with or without trade.

9. The Factor Price Equalization Theorem • Free trade will equalize not only commodity prices but also factor prices, so that all workers earn the same wage rate and all units of capital will earn the same rental return in both countries regardless of the factor supplies or the demand patterns in the two countries

10. Hourly Pay in Manufacturing

11. The Leontief Paradox In 1953 Wassily Leontief published the results of the most famous empirical investigations in economics, an attempt to test the consistency of the H-O Model with the U.S. trade patterns. Leontief’s objectives were to prove that: • the H-O Model was correct; and • to show that the U.S. exports were capital intensive

12. The Leontief Paradox Leontief developed a 1947 input-output table for the U.S. to determine the capital-labor ratios used in the production of U.S. exports and imports. Leontief found that the U.S. exports used a capital-labor ratio of $13,991 per man year, whereas import substitutes used a ratio of $18,184 per man year.

13. The Leontief Paradox The key ratio of [( KX / LX ) / ( KM / LM )] (13,991 / 1) / (18,184 / 1) = 0.77 was calculated. Given the presumption that the U.S. was relatively capital abundant, that ratio was just the reverse of what the H-O Model predicted. Thus, it is called the Leontief Paradox.

14. In Home and Foreign there are two factors of production, land and labor, used to produce only one good. The land supply in each country and the technology of production are exactly the same. The marginal product of labor in each country depends on employment as shown in the Table. Initially, there are 11 workers employed in Home, but only 3 in Foreign. Find the effects of free movement of labor from Home to Foreign on employment, production, real wages, and the income of land owners in each country. International Factor Mobility Production Function

15. Home: Employment = 11 Production = 165 Real Wage Rate = 10 Real Wages = 110 Real Rent = 55 Pre International Factor Mobility Production Function

16. Foreign: Employment = 3 Production = 57 Real Wage Rate = 18 Real Wages = 54 Real Rent = 3 Pre International Factor Mobility Production Function

17. Home: Employment = 7 Production = 119 Real Wage Rate = 14 Real Wages = 98 Real Rent = 21 Foreign: Employment = 7 Production = 119 Real Wage Rate = 14 Real Wages = 98 Real Rent = 21 Post International Factor Mobility

18. Home: Employment = 11 Production = 165 Real Wage Rate = 10 Real Wages = 110 Real Rent = 55 Home: Employment = 7 Production = 119 Real Wage Rate = 14 Real Wages = 98 Real Rent = 21 Effects of International Factor Mobility

19. Foreign: Employment = 3 Production = 57 Real Wage Rate = 18 Real Wages = 54 Real Rent = 3 Foreign: Employment = 7 Production = 119 Real Wage Rate = 14 Real Wages = 98 Real Rent = 21 Effects of International Factor Mobility