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Economics for Polymers by Gene Callahan and Robert P. Murphy
[Posted September 5, 2000]

Reviewing intellectual ideas is often hard work, involving slogging through
numerous references and deep contemplation of the author's contentions. That is
why it is a true joy to occasionally come across work so egregiously chowder-
headed that we can gleefully have at it without too much work at all.

Just such work was brought to our attention recently, when our malicious gaze
was directed to an article in The New Scientist entitled "That's the way the
money goes." The author of the article, Mark Buchanan, is highlighting the work
of two physicists, Jean-Philippe Bouchaud and Marc M�zard, who have decided
that it might be fun to play economists for a spell. They have set out to
"explain" the "mystery" of the distribution of wealth. It's the kind of piece
that could easily prompt a review much longer than the original article, as
almost every sentence cries out for correction. However, the constraints of
time and space only allow us to explore the deepest canyons of this
intellectual Mariana Trench.

The article doesn't wait long to head down into those canyons. It opens with
the following:

Life's so unfair. The rich get richer, while the rest of us just scrape by. Is
society to blame or are deeper forces at work...

In three brief sentences we are treated first to a trite clich� -- "Life's so
unfair." This is followed by an empirical falsehood -- "the rest of us just
scrape by" -- when, after all, the standard of living under market economies,
for even the poorest, has been steadily rising for several centuries.
(Incidentally, we wonder in what sense Buchanan is just scraping by. Does he
"do lunch" with his editor in the same eateries patronized by the average
sweatshop worker?) Next comes invalid anthropomorphism -- society is not a
person or moral agent, and cannot be the target of blame. Lastly, it's not even
demonstrated that there is something for which to blame someone. After all, if
the rich are justly getting richer, then the issue of blame doesn't even arise.

These physicists' stunning new contribution to a science they apparently know
nothing about is to "have discovered a link between the physics of materials
and the movements of money, a link that explains why wealth is distributed in
much the same way in all modern economies." Since the author is here conflating
"wealth" and "money" -- the long-discredited mercantilist doctrine -- we
expected that this "link" would involve some discussion of prices, as pieces of
paper with presidential portraits are rather ill suited to satisfy directly
most human desires.

However, we were sadly mistaken, for the nature of this link is that Bouchaud
and M�zard simply made up some equations that could conceivably describe the
distribution of wealth in an economy, then found that these equations happened
to be like those describing the movement of something called a "directed
polymer" across a bumpy surface. With a "rigorous" criterion like this for
having found a link, we guarantee that we could discover a "link" between Babe
Ruth's batting average in 1929 and the October stock market crash.

Buchanan proceeds to introduce us to Pareto's law:

In the 19th century, economists were certain that each society would have a
unique distribution of wealth, depending on the details of its economic
structure. But they were dumbfounded in 1897 by the claim of a Paris-born
engineer named Vilfredo Pareto. The statistics, he insisted, prove otherwise.
Not only do a filthy-rich minority always hog most of the wealth, but the
mathematical form of the distribution is the same everywhere.

Economists who felt economies would have "a unique distribution of wealth,"
depending on the "details of its economic structure," had no reason to be
"dumbfounded" by Pareto's statistical discovery, notwithstanding his insistence
to the contrary. It could simply be that the "details" of each country are such
that each yields the unique outcome that Pareto documented, unique outcomes
which are all somewhat similar. If, for example, wealth tends to be
concentrated in the hands of the most productive, there is no reason to expect
that this "outcome" will differ much from country to country.

Let's review Pareto's "law": He found that wealth is distributed according to
1/W^E, where E is "always between 2 and 3 for every European country [Pareto]
looked at."

Well shiver our timbers. Can you imagine if a physicist announced a "law" for
which a constant was "always between two and three," but only for the European
countries (i.e. not the third world laboratories) in which the experiments had
been conducted? If one allows this much leeway in curve fitting, all sorts of
surprising "laws" can be found.

Indeed, the entire research effort of Bouchaud and M�zard is akin to an attempt
to explain the "dynamics of the ether" or the "fluid mechanical properties of
phlogiston." The phenomenon they are attempting to model, that of a
"distribution" of wealth, does not even exist in a market economy! In the
unhampered market, wealth is not distributed; that is, there is no distinct
phase we could call distribution of wealth that stands apart from the creation
of wealth. Bill Gates is "filthy rich," to use the terminology favored by Mr.
Buchanan, because he produced a "filthy lot of things" that a "filthy bunch of
people" valued "filthy highly." It is not through some mysterious process of
money jiggling over bumps in response to the jostling of "trading molecules"
that Gates got a lot of it, and the fellow on the corner begging for change
didn't. Gates produced a lot of wealth, and the other guy didn't.

As Mises says:

Now in the market economy this alleged dualism of two independent processes,
that of production and that of distribution, does not exist. There is only one
process going on. Goods are not first produced and then distributed. There is
no such thing as an appropriation of portions out of a stock of ownerless
goods.

The products come into existence as somebody's property. If one wants to
distribute them, one must first confiscate them. It is certainly very easy for
the governmental apparatus of compulsion and coercion to embark upon
confiscation and expropriation. But this does not prove that a durable system
of economic affairs can be built upon such confiscation and expropriation.

Buchanan's complaint is analogous to griping about the grossly unfair three-
pointer distribution in the NBA: An obscene proportion of made three-pointers
are hogged by the top twenty shooters!

To his credit, Buchanan does give the following caveat: "To see how the model
economy and a directed polymer are related takes a little imagination." We'll
say! For the Bouchaud and M�zard (B&M) model to be taken as a piece of
meaningful economics, we'd have to imagine the world working something like
this:

Wealth, in the B&M world, is not possessed by those who produce it. In fact, it
is apparently not produced at all. It is simply lying around, waiting to be
distributed. We can picture a valley, a bumpy one, like the little graph that
Buchanan employs, filled with refrigerators, cars, bushels of wheat, finished
houses, computers, and so on, in other words, wealth. A band of humans crests
the surrounding hills and enters the valley. Randomly, perhaps based upon where
they happen to be arrayed in the group, they each snatch up a portion of this
wealth.

Now they begin to randomly exchange it. They exchange not because they perceive
an advantage in the exchange, but because the "heat" of the surrounding
"trading environment" causes them to do so. (It's unclear how this "trading
environment" comes into being other than through the decisions of people to
exchange, but never mind.) These people's exchanges are just as likely to be to
their disadvantage as to their advantage. They never learn from this fact and
improve their ability to exchange.

To Buchanan's mind, such a model suggests that "Economic theory is about to
grow up." He says, "The model offers what might be the first lesson of
economics to be firmly founded in mathematics..." Buchanan (and Bouchaud and
M�zard) have fallen prey to the mystical belief that, to be "scientific," any
field of study must ape the methods of physics. Over 100 years ago the great
Austrian economist Carl Menger pointed out, in Principles of Economics, the
absurdity of this approach:

Past attempts to carry over the peculiarities of the natural-scientific method
of investigation uncritically into economics have led to the most serious
methodological errors, and to idle play with external analogies between the
phenomena of economics and those of nature. [Francis] Bacon said of scholars of
the description: "Magna cum vanitate et desipientia inanes similitudines et
sympathias rerum describunt atque etiam quandoque affingunt"... [similitudes
and sympathies of things that have no reality... they describe and sometimes
invent with great vanity and folly]

As Buchanan wraps up his piece, he moves to policy recommendations. He says
that if we could "change the exponent" (in the Pareto equation) to 3, then the
richest 20% of the population would get only 55% of the wealth, which is
"better than" the U.S. right now. This normative claim is not justified, of
course, for how could physics prove anything about ideal wealth distributions?
However, this piece was not completely disagreeable. It had some neat graphs,
and it gave an accurate and concise explanation of a recent advance in physics,
an enterprise for which the mathematical modeling of unthinking, mechanistic
processes is appropriate. It does, though, seem to be a bit of a leap to employ
this tentative success in predictions of polymer behavior to engineer social
changes whose desirability is based on an implicit philosophy of misguided
altruism and good, old-fashioned envy.
-----------
Gene Callahan is a frequent contributor to Mises.org and Robert P. Murphy is a
graduate student in economics at New York University.
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Integrity has no need of rules. -Albert Camus (1913-1960)
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The only real voyage of discovery consists not in seeking
new landscapes but in having new eyes. -Marcel Proust
~~~~~~~~~~~~~~~~~~~~
The libertarian therefore considers one of his prime educational
tasks is to spread the demystification and desanctification of the
State among its hapless subjects.  His task is to demonstrate
repeatedly and in depth that not only the emperor but even the
"democratic" State has no clothes; that all governments subsist
by exploitive rule over the public; and that such rule is the reverse
of objective necessity.  He strives to show that the existence of
taxation and the State necessarily sets up a class division between
the exploiting rulers and the exploited ruled.  He seeks to show that
the task of the court intellectuals who have always supported the State
has ever been to weave mystification in order to induce the public to
accept State rule and that these intellectuals obtain, in return, a
share in the power and pelf extracted by the rulers from their deluded
subjects.
[[For a New Liberty:  The Libertarian Manifesto, Murray N. Rothbard,
Fox & Wilkes, 1973, 1978, p. 25]]

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