An Economic Case Against Envying Another Person's Improved Productivity

by Don Boudreaux on May 12, 2009

in Trade

Russ and I will both speak this weekend to high-school teachers about trade.  One of the points I hope that Russ or I get the opportunity to make comes from a simple extension of the standard explanation – the “2 X 2” explanation – of the principle of comparative advantage.

I’ll not review that explanation in this post.  (You can find an eloquent and supremely clear explanation here.)  But here’s the point: the principle of comparative advantage explains why, if one trading partner becomes more efficient at producing whatever good or service she specializes in producing, her trading partners’ comparative advantages in whatever goods and services they specialize in producing intensify even without any change in the productive abilities of these trading partners.

Here’s what I mean.  Suppose that, until today, the maximum number of fish Suzy could produce each month was 200.  Suppose also that the maximum number of bananas she could produce each month was 100.  [That is, if Suzy did nothing but produce bananas, she'd produce 100 bananas each month (and no fish); if, in contrast, she does nothing but fish, she catches 200 fish each month (but gathers no bananas).  Similarly -- with the numbers 50 bananas and 50 fish -- for Sam.]

The corresponding numbers for Sam are 50 fish and 50 bananas.  Suzy has a comparative advantage in producing fish while Sam has a comparative advantage in producing bananas.  The reason is that each fish costs Suzy 0.5 bananas to produce while each fish costs Sam 1 banana to produce, and each banana costs Suzy 2 fish to produce while each banana costs Sam 1 banana to produce.  It's easy to see that Suzy will gain by agreeing to buy bananas from Sam at any price lower than 2 fish per banana.  Likewise, Sam will gain by agreeing to sell bananas to Suzy at any price higher than 1 fish per banana.  Mutually advantageous gains from trade clearly are possible.

This explanation is standard, yet still important and exciting, stuff.

BUT – suppose that Suzy’s fishing skills improve.  She’s now able to produce a maximum of (say) 300 fish (rather than 200 fish) per month.  Nothing happens to Sam’s skills.

Suzy’s clearly better off.  But so, too – at least potentially – is Sam.  Before Suzy’s skill-enhancement, Sam could produce banana’s at half the cost that Suzy incurred to produce bananas.  (Remember, each banana cost Sam 1 fish to produce, while each banana had cost Suzy 2 fish.)  Now, however, after Suzy becomes a better fisherwoman, Sam suddenly finds himself able to produce bananas at one-third (rather than one-half) of Suzy’s cost of producing bananas.

Put differently, just as Suzy’s enhancement of her skills increases her comparative advantage over Sam at catching fish, this very same enhancement in Suzy’s skills increases Sam’s comparative advantage over Suzy at gathering bananas.

Sam now has at least the potential to sell his bananas to Suzy at a higher price (i.e., more fish per banana) – or, what is to say the same thing, to persuade Suzy to lower the price she charges for her fish.

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  • vidyohs

    Don,


    Here’s what I mean. Suppose that, until today, the maximum number of fish Suzy could produce each month was 200. Suppose also that the maximum number of bananas she could produce each month was 100.


    The corresponding numbers for Sam are 50 fish and 50 bananas. Suzy has a comparative advantage in producing fish while Sam has a comparative advantage in producing bananas.




    Sam does 50 fish and 50 bananas, and has a comparative advantage with Suzy who produces 100 bananas?

  • Don Boudreaux

    Vidyohs,


    Fair question, but I've updated the post to make my explanation more clear and, hopefully, to answer your question.


    Thanks.


    Don

  • Daniel Kuehn

    Very interesting! You don't hear that facet of comparative advantage very often (maybe you do in the trade literature, but I never heard that facet emphasized before). Thanks Don.

  • People think I'm crazy when I say that Bill Gates got the short end of the stick. I base that on my experience. In all my trade with Microsoft, the value I've gained is much greater than what I gave up, even if it has led to a few frustrating reboots.

  • vidyohs

    Don,


    Tks, that helps.

  • The cavemen agree!


    URL (in case the link doesn't take):

    http://politicalcalculations.blogspot.com/2008/...>

  • Martin Brock

    Very nice illustration. I definitely understand comparative advantage better now.

  • Martin Brock

    What if Suzy becomes much better at producing something that Sam doesn't consume, like ... I don't know ... aircraft carriers?

  • Rvturnage

    Simple: Either she finds a different trade partner for her aircraft carriers, or she stops producing them, as no one apparently wants them from her...

  • Morgan

    The anti-free trade faction would ask you to consider this:


    Suzy and her sister Gail respectively specialize in producing fish and bananas.


    Suzy Gail

    Fish 50 25


    Bananas 25 50


    Sam and his 12 brothers can't produce fish nearly as well as Suzy, but then, they can't produce bananas at all.


    Sam + 12

    Fish 10


    Bananas 0


    - so they produce fish. Lots of them. They commit to producing fish and trading for bananas, and are willing to do so at a rationally, but absurdly, low exchange rate of 4 fish to 1 banana - where Suzy was trading them straight up.


    Sam and his brothers produce so many fish that the market is saturated, and Suzy has no choice but to lower the price of her fish. But then she can no longer afford to lease the fishing equipment that made her relatively efficient. And, of course, Suzy has no banana skills, so she either has to produce fish without capital at a very low absolute wage, or go out of business altogether.


    Gail still produces 50 bananas, 25 of which go to Sam and his brothers in return for 100 fish (Sam and his brothers keep the extra 30). Gail is absolutely rolling in fish. But Suzy has no fish, and nothing to trade for bananas, and is out of work and out of a home.


    In fact, there are fewer total bananas in SuzyAndGail World (25 versus 50), though marginally more fish (65 versus 50). But instead of the fish being distributed 25 to Gail, 25 to Suzy, Gail has them all.


    Suzy is our friend. We don't really care about Sam and his ilk, except in the most abstract way. In fact, we're kind of angry at him and his brothers for putting Suzy out of work. So telling us that he and they are better off is not the way to convince us that this whole "free trade" thing is a good idea.


    What (if any) approach would convince us?

  • Morgan

    Sorry, "65 versus 50" should read "100 versus 50" in the third paragraph from the end.

  • dg lesvic

    Now you've got me going bananas.

  • MikeP

    And, of course, Suzy has no banana skills, so she either has to produce fish without capital at a very low absolute wage, or go out of business altogether.


    What do you mean Suzy has no banana skills? By the numbers you gave, if Suzy focuses on bananas, she could trade her 25 bananas for 100 fish -- far outstripping the 50 she and her highly capitalized enterprise were generating.

  • dg lesvic

    I want to meet this Suzy with her banana skills.

  • Nathan

    Thankyou MikeP. Such an obvious answer.

  • John

    Nice point.


    However the sword cuts both ways. That is, if instead Suzy became more efficient at producing bananas, then Sam could become worse off since his comparative advantage in bananas would be reduced. In fact, if Suzy was able to increase banana production to 200, then there would be no trade at all between the two. Suzy would be better off due to her increased banana production, but Sam would definitely be worse off.


    Thus, paradoxically, if every country suddenly became just as productive as the U.S. (assuming the U.S. has an absolute advantage in everything), the U.S. would be worse off. However, every other country would be much, much better off. This is one reason why I reject the idea of basing trade policy solely on the welfare of Americans.

  • Gerard D.

    This is a perfect example of why material envy is unjustified.


    When Suzy's productivity possibilities frontier moves out from 200 to 300 fish, Sam now has the opportunity to trade his bananas for more fish than before.


    When you become more productive (rich) I can become more productive (rich) too. Economics, a positive sum game in action!

  • It's true that the productivity increase

    of Suzy doesn't ALWAYS benefit Sam. But


    it's also true that Sam is never worse off from the ability to trade with Suzy, regardless of the comparative advantage. If not, Sam would simply decline to trade.

  • Kathy Ratte

    "Put differently, just as Suzy’s enhancement of her skills increases her comparative advantage over Sam at catching fish, this very same enhancement in Suzy’s skills increases Sam’s comparative advantage over Suzy at gathering bananas."


    Ok, that Suzy's increase in skill benefits both, but Suzy's comparative advantage isn't "over" Sam, but "over" her alternative of catching fish. Likewise, Sam's comparative advantage isn't over Suzy, but over his next best alternative. Not clarifying this point tends to perpetuate the sense that trade is competitive rather than cooperative, and that exchange creates victims.

  • Kai

    Sam is the moocher mindset.


    If 1 banana = 2 fish, that means that Suzy will get 100 bananas for her efforts if she's catching 200 fish. Then, when she becomes 50% more productive by catching 300 fish, suddenly 1 banana = 3 fish and she's still only getting 100 bananas, despite catching 100 more fish.


    Some day Suzy will realize that her efforts are improving Sam's life at her expense. She will lose the desire to be more productive or she will be productive secretively... a la Atlas Shrugged.


    Keep envying your Suzies because they keep the world moving, not Sams.

  • vikingvista

    "Thus, paradoxically, if every country suddenly became just as productive as the U.S. (assuming the U.S. has an absolute advantage in everything), the U.S. would be worse off."


    Not true. In the unlikely situation that every country became IDENTICALLY productive (i.e. same relative productivity for every product) to the US then there may be no benefit to trade, and trade may stop. But if relative productivity for different products within a country differs from the US, even if that country is far more productive than the US in each, then the US and the other countries could still profit from trade.

  • vikingvista

    "What if Suzy becomes much better at producing something that Sam doesn't consume, like ... I don't know ... aircraft carriers?"


    If Sam has a comparative advantage to Suzy for producing aircraft carriers over, say fish, then Sam doesn't need to consume them. He can sell them to Suzy. The situation is not unreasonable. If Suzy is so good at aircraft carrier building, who's to say she isn't an even more productive fisherwoman?


    If Sam is incapable of producing aircraft carriers, and has no desire to acquire them, then there is no trade and the analysis is irrelevant. Comparative advantage is about things that both parties are capable of producing.

  • vikingvista

    "if instead Suzy became more efficient at producing bananas, then Sam could become worse off since his"


    It's important to note that Sam is never worse off relative to the state of NO trade.

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