RESEARCH SEMINAR IN INTERNATIONAL ECONOMICS
School of Public Policy
The University of Michigan
Ann Arbor, Michigan 48109-1220
Discussion Paper No. 423
Benefits and Costs of
Following Comparative Advantage
Alan V. Deardorff
University of Michigan
January 12, 1998
Recent RSIE Discussion Papers are available on the World Wide Web at:
http://www.spp.umich.edu/rsie/workingpapers/wp.html
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Benefits and Costs of Following
Comparative Advantage
Alan V. Deardorff
The University of Michigan
The Sweetland Inaugural Lecture,
Presented at the 45th Annual Conference on the Economic Outlook,
Ann Arbor, Michigan
November 20, 1997
January 12, 1998
Paper: bcca.doc
ABSTRACT
Benefits and Costs of Following
Comparative Advantage
Alan V. Deardorff
The University of Michigan
This paper is the text of a lecture given on November 20, 1997 to inaugurate the John W.
Sweetland Chair in International Economics, in the Department of Economics of the University
of Michigan. Its message is that international trade theory, and in particular the theory of
comparative advantage, is really just an application of benefit-cost analysis. This is true both of
many of the tools of trade theory, which are familiar as the same tools by which benefit-cost
examines all sorts of public projects and policies, and of the implications of the theory. Trade
theory does not say, as sometimes claimed, that international trade is necessarily and always good
for everyone. On the contrary, the theory of comparative advantage identifies both winners and
losers from international trade, and the subtlety of the argument, much like many applications of
benefit-cost analysis, consists of quantifying and comparing the gains and losses. The paper
works through both the partial and the general equilibrium analyses of trade under a range of
assumptions from implausibly perfect to realistically messy. It discusses who gains and who
loses from trade in each case, as well as the strength of the argument that the gains outweigh the
losses.
Keywords: Comparative Advantage Correspondence:
Gains from Trade
Alan V. Deardorff
JEL Subject Code: F1 Trade Department of Economics
University of Michigan
Ann Arbor, MI 48109-1220
Fax. 313-763-9181
E-mail: alandear@umich.ed
http://www.econ.lsa.umich.edu/~alandear/
January 12, 1998
Benefits and Costs of Following
Comparative Advantage
Alan V. Deardorff
The University of Michigan
I. Introduction
Let me start by thanking several people who have helped to make this event possible.
First and foremost is of course John Sweetland, whose gift to the university funded the
Sweetland Chair. John has been a most extraordinary friend to the department and a
benefactor far beyond anything we could have hoped for. His gift of this chair, and his
promise of several more together with additional funds for graduate student support, will
I hope be decisive in helping us to strengthen the ranks of our faculty and students. Also
of course, I personally owe him a debt of thanks in exchange for the financial benefits
that accompany the chair. And I want to thank him for not vetoing me as the holder of
the chair, knowing as he does how ignorant I am about international trade in cement.
In addition, I would like to thank Saul Hymans for the important role he played in
facilitating John’s decision to help the Department and for inviting me to give this lecture
here at the Outlook Conference. I am especially grateful to my colleagues in the
Department of Economics for awarding me the chair, especially Paul Courant who was
Department Chair when the decision was made. I feel extremely honored. I owe thanks
also to several colleagues and students with whom I have discussed the topic of this
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lecture, especially Bob Stern, Jim Levinsohn, Saul Hymans, and two of my students, Ting
Gao and Simeon Djankov.
Finally, let me thank my family, three of whom are here this evening. I thank my
wife, Pat, for putting up with my distracted frame of mind for the last few days as I’ve
tried to think of what to say, and I thank my kids, Ryan and Allie, for putting up with it as
well, although we see so little of each other these days that I doubt they noticed. Most of
all, I thank them all for coming this evening to listen. I know that neither economics nor
international trade are high on their list of interests.
My topic tonight grows out of 27 years of teaching comparative advantage and out
of less than one year of teaching benefit-cost analysis. Two years ago, the dean of the
School of Public Policy, then Ned Gramlich1, asked me if I would teach benefit cost. I
felt that I knew nothing about the subject, but he assured me that I did. “That’s all trade
theory is,” he said. And he was right. As you will see tonight, I had been “speaking
benefit cost” my whole career, without knowing it.
Another reason for talking about this tonight is a certain amount of irritation I
have felt with the public’s lack of understanding about what economists know about
comparative advantage. I don’t mean the difficulty they have in understanding the
concept of comparative advantage itself. That is a tough one, which my colleagues and
even I get wrong from time to time when we’re not careful. No, what bothers me is two
opposite misperceptions that many in the public seem to hold at once. One is that the
1
Who is now a Governor of the Federal Reserve System. It’s hard to believe that this really nice guy, with
whom several of us have played low-stakes poker here in Ann Arbor, is now playing in the biggest poker
game there is. With our money!
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theory of comparative advantage is only valid under very limited and special
circumstances. The other is that economists believe it to be valid under all circumstances.
Neither is true. On the one hand, the theory of comparative advantage is much more
broadly valid than you would guess from the simple numerical examples that may have
been your only exposure to it. But on the other hand, there are limitations to the theory,
and we economists are very well aware of them.
Before I try to make this clearer, let me first remind you of what comparative
advantage is. A simple definition is this: Comparative advantage is low relative cost of
a good compared to other countries. This statement may appear to be repetitive, using
the two words “relative” and “compared to” redundantly. Doesn’t “relative” already
mean that something is being compared? Yes, but in this case it is being compared to
something else. “Relative cost” here means the cost of a good relative to other goods. It
is then this price ratio that is to be compared across countries. Comparative advantage,
then, involves a double comparison, across both goods and countries, and that is critical
both to understanding it and to why it works. Because it is such a double comparison, for
example, it is impossible by definition for a country to have a comparative disadvantage
in every good. The worst that could happen would be that all of these ratios of costs be
the same across countries, in which case the countries would have neither comparative
advantage nor comparative disadvantage in anything. That would require an incredible
coincidence. In practice, every country will have a comparative advantage in something.
So far this is just a definition. The importance of the concept of comparative
advantage is the economic theory that incorporates it and that generates what has been
called the Law of Comparative Advantage. Actually, there are two laws, one “positive”
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predicting what countries will do if given the chance, and one “normative” implying what
countries should do:
The Positive Law of Comparative Advantage: If permitted to trade, a
country will export the goods in which it has a comparative advantage.
The Normative Law of Comparative Advantage: If permitted to trade,
a country will gain; i.e., the benefits of trade exceed the costs.
Both of these points are routinely made in the most elementary introductory
economics courses, but they are illustrated using a numerical example much like David
Ricardo used 200 years ago to explain comparative advantage when he discovered the
idea. The example has just two countries and two goods, both of which are used only for
consumption, only one factor of production (homogeneous labor), perfect competition,
and perfectly free trade without even transport costs. The example is so unrealistic that
perhaps students can be forgiven for thinking that it has little bearing on the world they
live in. But in fact, both of the laws of comparative advantage have been shown to be
valid in much more general models, dropping every one of these assumptions.
That is one of the messages that I want to get out, the good news that I want to
spread: Comparative advantage and its implications are much more robust than even
many economists are aware, if they do not specialize in trade. The fact that the real world
is incredibly complicated, with all sorts of goods and services being produced in all sorts
of ways and used for all sorts of purposes, with all sorts of natural and artificial barriers to
international trade, does not undermine the economic basis for trade following the pattern
of comparative advantage and thereby being beneficial.
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On the other hand, even these broad generalizations of the laws of comparative
advantage still do require some assumptions, assumptions that are frequently violated in
practice. Furthermore, even when those assumptions are not violated, notice that the
normative law does not say that everybody gains from trade. It acknowledges that there
are costs due to trade, and then says that there are also benefits that are larger. For both of
these reasons, then, there is a downside to international trade of which economists are
well aware. Indeed, no responsible economist will teach that trade is an unambiguously
good thing. Even in the best of worlds, some people lose from trade, and the case for free
trade is only that other people gain more. Furthermore, this is not the best of worlds, and
there are many conditions in the real world that may, in some cases, cause even the net
effects of trade to be harmful. We know this, but the tools of comparative advantage and
trade theory also tell us many things about how best to deal with these conditions. The
bottom line, at least for the many quantifiable benefits and costs due to trade, is that once
one accounts for all of them, in most cases we are better off not restricting trade. Rather
we should permit it to occur freely, following comparative advantage. There are other
more appropriate means of dealing with the failings of the economy than restricting trade.
In other words, the case for liberal trade is neither weak nor simple. It requires a
careful and dispassionate look at all of the benefits and costs of trade. That is what I will
attempt in the rest of this lecture.
II. A Standard Benefit Cost Analysis of Opening a Single Market
As I have learned in this last year of teaching, the standard tools of benefit cost analysis
are simply supply and demand. Most benefit cost studies focus on individual markets and
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use the tools of partial equilibrium analysis to identify and quantify benefits and costs
within those markets. These tools are easily applied to international trade.
I will not attempt to actually do such an analysis here – we’ve just had dinner,
after all. But I cannot resist showing you these tools for you to admire. Figure 1 shows
two supply and demand diagrams, panel (a) for an export and panel (b) for an import.
The lessons that could be derived from these diagrams if we had the time and inclination
are summarized in Table 1, as follows.
The direction of trade – whether a good is exported or imported – depends simply
on whether its domestic price is above or below its world price. If it is below the world
price, then the good will be exported. This will benefit the suppliers of the good, both the
owners of the firms that produce it and the workers they employ. But it will harm
domestic demanders of the good who will be forced to pay more for it, and these
demanders include not only consumers, if it is a final good, but also other producers (and
their workers) who use the good as an input. What the theory shows, however, is that the
gains on the supply side of such a market are larger than the losses on the demand side, in
the sense that the gainers could afford to compensate the losers and still remain better off.
The net gain from exports, if you are interested, is the shaded triangle in Figure 1(a).
If the domestic price of a good is higher than the world price, then the direction of
trade will be the opposite: it will be imported. Here again their are gainers and losers,
but they are on opposite sides of the market from the other case. It is the demanders of
imports who gain from their lower price, again both consumers and firms buying them as
inputs. And it is the suppliers, not of the imports themselves but of domestic goods that
compete with them, who lose. It is this cost to import-competing suppliers, both firms
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and workers, that is often the most visible effect of trade. The losers themselves as well
as advocates on their behalf often seem to believe that economists are simply unaware of
this cost, but we are not. Our models, as you see here, include that loss and trust me, we
do take it seriously. But we do not focus on it exclusively, as the suppliers themselves
may understandably want to do. We must look at the benefits as well as at the costs.
Now you might think that, since everything else in the import case is opposite to
what it was in the export case, the net welfare effect should be negative. But lo and
behold, it is not. The net effect is positive, as shown again by the shaded triangle in
Figure 1(b). Need I say more? Take it as part of the miracle of comparative advantage
that, when trade follows the dictates of comparative relative prices (for that is really what
is happening in Figure 1), the gains outweigh the costs in markets for both exports and
imports. Or, if you want more of a reason for this result, note that as prices move away
from domestic market equilibrium toward their world levels, the losers in both markets
cut their losses, reducing their quantities bought or sold, while the gainers take advantage
of the opportunity by increasing quantities. It is these induced changes in quantities that
generate the net gain in both markets.
The bottom line in Table 1 then, literally, is that a standard benefit cost analysis of
international trade yields an unambiguous result: benefits are greater than costs.
III. General Equilibrium Analysis of Opening a Whole Economy
From the time of Ricardo, trade economists have recognized that there is more to trade
than can be captured in a partial equilibrium analysis like Figure 1. Trade affects so
much of the economy simultaneously that its full effects must include numerous
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interactions among different markets. Most importantly, partial equilibrium analysis
cannot capture the effects of trade on factor markets, especially on wages, which turn out
to be both important and often contentious. Trade theorists have developed a variety of
distinctive tools to analyze the general equilibrium effects of trade, and they have used
these tools to establish several important results that concern us here.
As before, there is no real need for you to see the tools themselves, but I cannot
resist showing you some of them. Figure 2 includes two of the most distinctive general
equilibrium diagrams from trade theory, panel (a) illustrating the gains from trade and
panel (b) illustrating how one factor of production – in this case labor – may lose from
trade due to a drop in its real wage.
More important are the results themselves, which are summarized in Table 2. In
addition to all of the effects on suppliers and demanders from Table 1, which still tend to
be true on average for most markets even in general equilibrium, Table 2 reports effects
on factors of production. It turns out that these effects depend on several different aspects
of a factor’s relationship to industries and to the economy. Factors of production that are
“specific” to an industry, for example, in the sense that they cannot leave it but are also
not subjected to competition from entry by more of the same factor, gain or lose from
trade depending upon whether their industry exports or imports. But factors that are
mobile among industries do not depend directly on the performance of the industry in
which they are employed, but rather on how trade overall affects their economy-wide
factor market. For example, owners of a factor that is used intensively in export sectors
will gain from trade, even if the particular units of the factor that they own are employed
elsewhere. Likewise, owners of factors that are abundant in the country compared to
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other countries will also gain, as trade provides an outlet for what they can produce. But
the flip side is that owners of scarce factors, and of factors used intensively in import
sectors, will lose in real terms from trade.
This is the famous Stolper-Samuelson Theorem, proved over fifty years ago by
Paul Samuelson, who later won the Nobel Prize, and Wolfgang Stolper, who has spent
most of his career on our own faculty. This theorem, which identifies both gainers and
losers from trade within a country, has become more important with time as international
trade has grown. Applied to the United States, with our abundance of skilled labor and
scarcity of unskilled labor, the Stolper-Samuelson theorem implies that trade will make
low-wage unskilled workers worse off. This indeed has been happening over the last 15
or 20 years, and while there are other contributing causes of this phenomenon as well,
there is little doubt but that the opening of world markets and the growing competition
from low-wage labor abroad have played a role in the rising inequality among American
workers.
The general equilibrium models of trade theory also establish, however, that
whatever some factor owners may lose from trade, other factor owners must gain even
more. Once again, the benefits of trade outweigh the costs, as stated in the bottom line of
Table 2. This is important, for it means that it should be possible to devise social policies
that offset the harm to low wage workers while leaving the overall gains from trade to be
enjoyed by all. Whether our existing policies accomplish this, however, is another
matter.
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IV. The Role of Distortions
All of the results discussed so far arise under a large number of assumptions. These
assumptions do not require, as I noted above, any limits on the numbers or kinds of
goods, factors, or countries. Nor do they require free trade. But most of them do require
perfect competition (i.e. that market participants are all too small to be able to influence
prices) as well as that markets clear (supply equals demand), that producers and
consumers bear and enjoy the full costs and benefits of their actions (no externalities),
and that buyers and sellers face the same prices (no taxes or other government
intervention). All of these assumptions are needed for markets to work as well as
possible, and because international trade is just the working of markets on a grand scale,
these assumptions are also needed for proofs that the benefits of trade outweigh its costs.
Economists follow the endearing practice of calling any failure of these
assumptions a “distortion,” as though it is somehow the economy’s fault th