1) Hecksher-Ohlin (H-O) Theorem: a nation will export the good whose production requires the intensive use of the nation’s relatively abundant factor, and import the good whose production requires the intensive use of the nation’s relatively scarce factor
L: Eli Hecksher (1879-1952)
R: Bertil Ohlin (1899-1979)
2) Factor Price Equalization (FPE) Theorem: under certain conditions, international trade tends to bring about equalization in relative and absolute returns to homogeneous factors across nations
3) Stolper-Samuelson Theorem: in the long run, an increase in the relative price of a good will increase the real earnings of the factor used intensively in that good’s production and decrease the earnings of the other factor
L: Eli Hecksher (1879-1952)
R: Bertil Ohlin (1899-1979)
But clearly, wages in reality remain higher in U.S. than China!
FPE theorem has restrictive assumptions:
What about the Stolper-Samuelson Theorem?
In most cases, it seems (final goods) prices have converged globally more than wages!
Considered an interesting analytical result, but doesn’t really hold in practice
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed., p.97
Both FPE and SS theorems apply only when factors are mobile within each nation
In short run, factors (especially capital) are fixed or specific
Specific factors will not flow out of its specific sector, keeping returns unequal
Main prediction: countries should export the goods that require a relatively intensive use of the country's relatively abundant factor (and import goods that require a relatively intensive use of the country's scarce factor)
e.g. relatively capital-abundant U.S. should export capital-intensive goods and import relatively labor-intensive goods
Wassily Leontief
1905-1999
Economics Nobel 1973
Leontief (1953, p.343)
Wassily Leontief
1905-1999
Economics Nobel 1973
“These figures show that an average million dollars' worth of our exports embodies considerably less capital and somewhat more labor than would be required to replace from domestic production an equivalent amount of our competitive imports. America's participation in the international division of labor is based on its specialization on labor intensive, rather than capital intensive, lines of production. In other words, this country resorts to foreign trade in order to economize its capital and dispose of its surplus labor, rather than vice versa. The widely held opinion that as compared with the rest of the world-the United States' economy is characterized by a relative surplus of capital and a relative shortage of labor proves to be wrong. As a matter of fact, the opposite is true” (p.343)
Leontief, Wassily (1953). “Domestic Production and Foreign Trade; The American Capital Position Re-Examined,” Proceedings of the American Philosophical Society 97(4): 332-349
Wassily Leontief
1905-1999
Economics Nobel 1973
Leontief (1953) found in 1947, U.S. (then clearly a capital-abundant nation) exported more labor-intensive goods and imported capital-intensive goods
Calculated L-output and K-output ratios for U.S. sectors to find how much K & L were 'embodied' in exports
A direct contradiction of H-O theory! In fact, the exact opposite!
Leontief, Wassily (1953). “Domestic Production and Foreign Trade; The American Capital Position Re-Examined,” Proceedings of the American Philosophical Society 97(4): 332-349
Wassily Leontief
1905-1999
Economics Nobel 1973
1) H-O Theorem is overly simple, restrictive assumptions
2) Other minor quibbles:
3) What counts as “L” vs “K”?
Wassily Leontief
1905-1999
Economics Nobel 1973
“What is the explanation of this somewhat unexpected result? The conventional view of the position which the United States occupies today in the world economy is...that the United States possesses more productive capital per worker than any other country. It can hardly be disputed.’ (p.343)
“Let us, however, reject the simple but tenuous postulate of comparative technological parity and make the plausible alternative assumption that in any combination with a given quantity of capital, one man year of American labor is equivalent to, say, three man years of foreign labor...Spread trice as thinly as the unadjusted figures suggest the American capital supply per [foreign] ‘equivalent worker’ turns out to be comparatively smaller, rather than larger, than that of many other countries.'' (p.344)
Leontief, Wassily (1953). “Domestic Production and Foreign Trade; The American Capital Position Re-Examined,” Proceedings of the American Philosophical Society 97(4): 332-349
Wassily Leontief
1905-1999
Economics Nobel 1973
4) Revisions, extensions, replacements to H-O theory:
Measuring factor endowments in countries
Assumed definitions:
Country Factor Endowments (2013)
Feenstra and Taylor (2017, p.103)
Taking physical capital as example:
U.S. has 13.4% of world's physical capital; 16.5% of world GDP
China has 20.7% of world's physical capital; 16.0% of world GDP
Country Factor Endowments (2013)
Feenstra and Taylor (2017, p.103)
But absolute numbers of physical factors are often not relevant
Some countries may have few physical factors, but they may be very productive!
So we care about effective factor endowment:
effective factor endowment = actual endowment × factor productivity
Country Effective Factor Endowments (2013)
Feenstra and Taylor (2017, p.106)
Country Effective Factor Endowments (2013)
Feenstra and Taylor (2017, p.106)
U.S. Labor in 1947
While the U.S. in 1947 may have been labor scarce in absolute terms, it was labor abundant in effective terms, consistent with Leontief's finding.
Labor Productivity and Wages (Relative to the U.S.) in 1990
Labor productivity and wages are highly correlated, further suggesting Leontief's findings and H-O Theory are not necessarily inconsistent when considering effective labor.
While U.S. food imports occasionally exceed food exports, agricultural exports have always exceeded agricultural imports, consistent with finding that U.S. is land abundant.
Strong version of H-O Theory is a poor predictor of exports/imports
Weaker versions do much better - is a country relatively more abundant in a factor than the world average?
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
Krugman and Obstfeld (2011, p.100)
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
Rank test: rank countries based on relative abundance of factors (e.g. rank countries based on Labor, on Capital, etc)
Doesn't predict very well!
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
“The Hecksher-Ohlin model does poorly, but we do not have anything that does better. It is easy to find hypotheses that do as well or better in a statistical sense, but these alternatives yield economically unsatisfying parameter estimates”
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
Given there are big differences in factor endowments across countries, we should expect to see much more trade than we observe!
Trade we do see on net doesn't really send much embodied capital to labor-intensive countries and vice versa!
Trefler, Daniel (1995), “The Case of the Missing Trade and Other Mysteries,” American Economic Review 85(5): 1029-1046
Trefler, Daniel (1995), “The Case of the Missing Trade and Other Mysteries,” American Economic Review 85(5): 1029-1046
Trefler, Daniel (1995), “The Case of the Missing Trade and Other Mysteries,” American Economic Review 85(5): 1029-1046
Perhaps these deviations from H-O Theory are really asking the question:
“Why are transaction costs so high to prevent mutually beneficial trades?”
However, comparing exports of labor-abundant nations in the Third world with the exports of capital-abundant nations do fit the theory quite well
Also, changing comparative advantage over time is also reflected well
Krugman and Obstfeld (2011, p. 101)
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
Krugman and Obstfeld (2011, p. 103)
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
Krugman and Obstfeld (2011, p. 103)
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
In the H-O model, what industry one works in should not affect one's position on free trade
Stolper-Samuelson theorem predicts an increase in relative price in exports (and decrease in relative price of imports) from trade benefits factor used intensively in exports and harms factor used intensively in import-competing industry, regardless of which industry the factors actually work in
In U.S., export industries often use high-skilled labor and research & development
An increase in exports will benefit skilled labor in the long-run, regardless of what industry they are working in
Prediction: in long run, the skill level of workers should determine their attitudes about free trade!
1992 survey by National Election Studies asking people about their attitudes on trade
Industry of employment was only somehwat important in explaining different attitudes
Skill-level was much more important!
Consistent with predictions of H-O and SS theorems!
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1) Hecksher-Ohlin (H-O) Theorem: a nation will export the good whose production requires the intensive use of the nation’s relatively abundant factor, and import the good whose production requires the intensive use of the nation’s relatively scarce factor
L: Eli Hecksher (1879-1952)
R: Bertil Ohlin (1899-1979)
2) Factor Price Equalization (FPE) Theorem: under certain conditions, international trade tends to bring about equalization in relative and absolute returns to homogeneous factors across nations
3) Stolper-Samuelson Theorem: in the long run, an increase in the relative price of a good will increase the real earnings of the factor used intensively in that good’s production and decrease the earnings of the other factor
L: Eli Hecksher (1879-1952)
R: Bertil Ohlin (1899-1979)
But clearly, wages in reality remain higher in U.S. than China!
FPE theorem has restrictive assumptions:
What about the Stolper-Samuelson Theorem?
In most cases, it seems (final goods) prices have converged globally more than wages!
Considered an interesting analytical result, but doesn’t really hold in practice
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed., p.97
Both FPE and SS theorems apply only when factors are mobile within each nation
In short run, factors (especially capital) are fixed or specific
Specific factors will not flow out of its specific sector, keeping returns unequal
Main prediction: countries should export the goods that require a relatively intensive use of the country's relatively abundant factor (and import goods that require a relatively intensive use of the country's scarce factor)
e.g. relatively capital-abundant U.S. should export capital-intensive goods and import relatively labor-intensive goods
Wassily Leontief
1905-1999
Economics Nobel 1973
Leontief (1953, p.343)
Wassily Leontief
1905-1999
Economics Nobel 1973
“These figures show that an average million dollars' worth of our exports embodies considerably less capital and somewhat more labor than would be required to replace from domestic production an equivalent amount of our competitive imports. America's participation in the international division of labor is based on its specialization on labor intensive, rather than capital intensive, lines of production. In other words, this country resorts to foreign trade in order to economize its capital and dispose of its surplus labor, rather than vice versa. The widely held opinion that as compared with the rest of the world-the United States' economy is characterized by a relative surplus of capital and a relative shortage of labor proves to be wrong. As a matter of fact, the opposite is true” (p.343)
Leontief, Wassily (1953). “Domestic Production and Foreign Trade; The American Capital Position Re-Examined,” Proceedings of the American Philosophical Society 97(4): 332-349
Wassily Leontief
1905-1999
Economics Nobel 1973
Leontief (1953) found in 1947, U.S. (then clearly a capital-abundant nation) exported more labor-intensive goods and imported capital-intensive goods
Calculated L-output and K-output ratios for U.S. sectors to find how much K & L were 'embodied' in exports
A direct contradiction of H-O theory! In fact, the exact opposite!
Leontief, Wassily (1953). “Domestic Production and Foreign Trade; The American Capital Position Re-Examined,” Proceedings of the American Philosophical Society 97(4): 332-349
Wassily Leontief
1905-1999
Economics Nobel 1973
1) H-O Theorem is overly simple, restrictive assumptions
2) Other minor quibbles:
3) What counts as “L” vs “K”?
Wassily Leontief
1905-1999
Economics Nobel 1973
“What is the explanation of this somewhat unexpected result? The conventional view of the position which the United States occupies today in the world economy is...that the United States possesses more productive capital per worker than any other country. It can hardly be disputed.’ (p.343)
“Let us, however, reject the simple but tenuous postulate of comparative technological parity and make the plausible alternative assumption that in any combination with a given quantity of capital, one man year of American labor is equivalent to, say, three man years of foreign labor...Spread trice as thinly as the unadjusted figures suggest the American capital supply per [foreign] ‘equivalent worker’ turns out to be comparatively smaller, rather than larger, than that of many other countries.'' (p.344)
Leontief, Wassily (1953). “Domestic Production and Foreign Trade; The American Capital Position Re-Examined,” Proceedings of the American Philosophical Society 97(4): 332-349
Wassily Leontief
1905-1999
Economics Nobel 1973
4) Revisions, extensions, replacements to H-O theory:
Measuring factor endowments in countries
Assumed definitions:
Country Factor Endowments (2013)
Feenstra and Taylor (2017, p.103)
Taking physical capital as example:
U.S. has 13.4% of world's physical capital; 16.5% of world GDP
China has 20.7% of world's physical capital; 16.0% of world GDP
Country Factor Endowments (2013)
Feenstra and Taylor (2017, p.103)
But absolute numbers of physical factors are often not relevant
Some countries may have few physical factors, but they may be very productive!
So we care about effective factor endowment:
effective factor endowment = actual endowment × factor productivity
Country Effective Factor Endowments (2013)
Feenstra and Taylor (2017, p.106)
Country Effective Factor Endowments (2013)
Feenstra and Taylor (2017, p.106)
U.S. Labor in 1947
While the U.S. in 1947 may have been labor scarce in absolute terms, it was labor abundant in effective terms, consistent with Leontief's finding.
Labor Productivity and Wages (Relative to the U.S.) in 1990
Labor productivity and wages are highly correlated, further suggesting Leontief's findings and H-O Theory are not necessarily inconsistent when considering effective labor.
While U.S. food imports occasionally exceed food exports, agricultural exports have always exceeded agricultural imports, consistent with finding that U.S. is land abundant.
Strong version of H-O Theory is a poor predictor of exports/imports
Weaker versions do much better - is a country relatively more abundant in a factor than the world average?
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
Krugman and Obstfeld (2011, p.100)
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
Rank test: rank countries based on relative abundance of factors (e.g. rank countries based on Labor, on Capital, etc)
Doesn't predict very well!
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
“The Hecksher-Ohlin model does poorly, but we do not have anything that does better. It is easy to find hypotheses that do as well or better in a statistical sense, but these alternatives yield economically unsatisfying parameter estimates”
Bowen, Harry P., Edward E. Leamer, and Leo Sveikauskas (1987), “Multicountry, Multifactor Tests of Factor Abundance Theory,” American Economic Review 77(5): 791-809
Given there are big differences in factor endowments across countries, we should expect to see much more trade than we observe!
Trade we do see on net doesn't really send much embodied capital to labor-intensive countries and vice versa!
Trefler, Daniel (1995), “The Case of the Missing Trade and Other Mysteries,” American Economic Review 85(5): 1029-1046
Trefler, Daniel (1995), “The Case of the Missing Trade and Other Mysteries,” American Economic Review 85(5): 1029-1046
Trefler, Daniel (1995), “The Case of the Missing Trade and Other Mysteries,” American Economic Review 85(5): 1029-1046
Perhaps these deviations from H-O Theory are really asking the question:
“Why are transaction costs so high to prevent mutually beneficial trades?”
However, comparing exports of labor-abundant nations in the Third world with the exports of capital-abundant nations do fit the theory quite well
Also, changing comparative advantage over time is also reflected well
Krugman and Obstfeld (2011, p. 101)
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
Krugman and Obstfeld (2011, p. 103)
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
Krugman and Obstfeld (2011, p. 103)
Krugman, Paul, Maurice Obstfeld, and Mark Melitz, 2011, International Economics: Theory & Policy, 9th ed.
In the H-O model, what industry one works in should not affect one's position on free trade
Stolper-Samuelson theorem predicts an increase in relative price in exports (and decrease in relative price of imports) from trade benefits factor used intensively in exports and harms factor used intensively in import-competing industry, regardless of which industry the factors actually work in
In U.S., export industries often use high-skilled labor and research & development
An increase in exports will benefit skilled labor in the long-run, regardless of what industry they are working in
Prediction: in long run, the skill level of workers should determine their attitudes about free trade!
1992 survey by National Election Studies asking people about their attitudes on trade
Industry of employment was only somehwat important in explaining different attitudes
Skill-level was much more important!
Consistent with predictions of H-O and SS theorems!