This was really helpful. I could never understand why Marxists obsessed so much 
over labor, and utterly disregarded the multiplicative power of capital 
investment



The Diamond-Water Paradox and the Subjective Theory of Value
http://partiallyexaminedlife.com/2018/04/03/the-diamond-water-paradox-and-the-subjective-theory-of-value/
(via Instapaper)

In his famous work The Wealth of Nations, Adam Smith articulated a paradox that 
he could not resolve: water is essential to life; diamonds a mere decoration. 
Yet for all that, we are willing to lavish enormous sums on pretty rocks while 
taking clean water for granted. What could explain this disconnect?

Smith’s confusion stemmed from his understanding of the source of economic 
value. The eighteenth century, while an age of enlightenment and revolution, 
was still very much mired in the religious worldview of the Medieval era, and 
many great thinkers believed that God imbued the world with value. It must have 
been quite difficult to imagine any sort of value, let alone that of economic 
goods, originating from some source other than the Creator of all things. 
Indeed, Smith, like many of his contemporaries, ascribed to an intrinsic 
understanding of value, one which saw prices as a manifestation of some 
“objective” quality of the thing being sold.

That quality was the amount of labor that went into the production of the 
commodity in question. “The real price of everything, what everything really 
costs to the man who wants to acquire it, is the toil and trouble of acquiring 
it,” asserted Smith.[1] His view has a certain intuitive appeal to it. Now 
known as the “labor theory of value,” this perspective holds that the prices of 
goods on the market are ultimately determined by the effort expended in their 
production.

This, of course, begs the question: what determines the price of labor? On 
Smith’s account, there is nothing else to turn to:

Labor was the first price, the original purchase-money that was paid for all 
things. It was not by gold or by silver, but by labor, that all the wealth of 
the world was originally purchased; and its value, to those who possess it, and 
who want to exchange it for some new productions, is precisely equal to the 
quantity of labor which it can enable them to purchase or command.[2]

In this way, labor can be understood as the genesis of all value, the first 
building block upon which all economic goods rest. It is easy to see why this 
account took hold in the eighteenth and nineteenth centuries. It seemed to 
explain the inflated prices of labor-intensive goods such as cotton and 
saffron, which demanded hours of sweat from peasants (and slaves) for a 
relatively small amount of raw material. It also entails that an informed 
expert could, with the proper information, calculate the “true price” of a 
good. Yet that’s not all: the labor theory of value instills a sense of justice 
into market transactions.

According to the labor theory of value, those goods that people must work hard 
to produce are highly valued. On the other hand, those goods that are produced 
with ease do not fetch an impressive price. This characterization of market 
value has an obvious appeal, because it seems to reward human effort.

Many great thinkers followed Smith in ascribing to this view. David Ricardo, 
the famous nineteenth-century defender of free trade, further refined Smith’s 
position, which was taken up by another famous economist, Karl Marx. Marx was 
careful to differentiate between what may be simply called “effort” and 
“labor.” For example, he believed that there is a difference between skilled 
and unskilled labor, so that one hour of skilled labor may be equal to two 
hours of unskilled labor.

Yet despite this differentiation, Marx was obsessed with aggregates, and his 
formulation of social necessity is just one example. To a Marxist proper, the 
amount of time actually expended in the production of a good does not matter as 
much as the amount of time that it should take to produce something. As Marx 
put it, “that which determines the magnitude of the value of any article is the 
amount of labor socially necessary, or the labor time socially necessary for 
its production.”[3] Social necessity is derived from the average level of 
productivity in a given society, regardless of the time spent on any item in 
particular.

Marx wrote Das Kapital nearly 100 years after Smith’s The Wealth of Nations 
made its debut in 1776. The continuity of the labor theory of value between 
these two otherwise diametrically opposed works is remarkable, and speaks to 
its hegemony in classical economics. It also gives evidence of the 
intractability of the diamond-water paradox: in 1860, there was still no 
explanation for the fact that diamonds fetch a higher price than water. Yet a 
few years before Marx published his magnum opus, a new theory arrived on the 
scene, proposed by three thinkers almost simultaneously.

Three economists developed an alternative explanation of economic phenomena in 
the 1860s and 1870s. While working independently, William Stanley Jevons 
(British), Carl Menger (Austrian), and Marie-Esprit-Léon Walras (Swiss) all 
proposed that economic value comes not from any quality of the good in 
question, but from the human mind.

Menger gives an unusually artistic description of this development in his

If the locks between two still bodies of water at different levels are opened, 
the surface will become ruffled with waves that will gradually subside until 
the water is still once more. The waves are only symptoms of the operation of 
the forces we call gravity and friction. The prices of goods, which are 
symptoms of an economic equilibrium in the distribution of possessions between 
the economies of individuals, resemble these waves. The force that drives them 
to the surface is the ultimate and general cause of all economic activity, the 
endeavor of men to satisfy their needs as completely as possible, to better 
their economic positions. But since prices are the only phenomena of the 
process that are directly perceptible, since their magnitudes can be measured 
exactly, and since daily living brings them unceasingly before our eyes, it was 
easy to commit the error of regarding the magnitude of price as the essential 
feature of an exchange, and as a result of this mistake, to commit the further 
error of regarding the quantities of goods in an exchange as equivalents. The 
result was incalculable damage to our science since writers in the field of 
price theory lost themselves in attempts to solve the problem of discovering 
the causes of an alleged equality between two quantities of goods. Some found 
the cause in equal quantities of labor expended on the goods. Others found it 
in equal costs of production. And a dispute even arose as to whether the goods 
are given for each other because they are equivalents, or whether they are 
equivalents because they are exchanged. But such an equality of the values of 
two quantities of goods (an equality in the objective sense) nowhere has any 
real existence. The error on which these theories were based becomes 
immediately apparent as soon as we free ourselves from the one-sidedness that 
previously prevailed in the observation of price phenomena.[4]

This theory of value thus focuses not on visible economic phenomena, but on the 
forces that bring them into being: “the endeavors of men to satisfy their needs 
as completely as possible.” Indeed, all three of the authors of what is now 
known as the Marginal Revolution emphasize the role that an individual’s mental 
states play in the creation of value.

What explains economic value, in this new system? On Menger’s view, “value is 
the importance that individual goods or quantities of goods attain for us 
because we are conscious of being dependent on command of them for the 
satisfaction of our needs” (115). This implies that goods that are always and 
everywhere readily available do not attain an economic value—we are not 
dependent on command for them for the satisfaction of our needs if we already 
have them at hand. Only scarce goods can come into our consciousness in this 
way. It also implies that “true prices” do not exist, because prices are the 
result of subjective valuations.

This focus on mental phenomena helps explain why certain goods that might be 
seen as important resources today had no monetary value hundreds of years ago. 
It is not any immutable and unchanging feature of an item that gives it value. 
Rather, value comes from human perception.

Yet how does the subjective theory of value resolve the diamond-water paradox? 
Put another way, why do human subjects not recognize the greater importance of 
water in their purchases?

The answer lies in the crucial focus on individual goods and services. 
Classical economists saw diamonds and water as aggregates, or categories. 
However, Jevons, Menger, and Walras perceived that people interact only with 
individual goods. In other words, no one chooses between “all of the diamonds” 
and “all of the water.” Rather, people select discrete units of water and 
discrete units of diamonds. Hence the “Marginal” Revolution.

When people ascribe value to a good, they value each unit of each good 
according to the least urgent need that can be satisfied by that good. Or put 
another way, goods attain their value through their marginal utility. As one 
classic example goes, a farmer who has five sacks of grain may devote the first 
two to foodstuffs, then, one to feeding her animals, the fourth to distilling 
hard liquor, and the final sack to feeding birds that perch on her barn. If the 
farmer were to lose one sack of grain, she wouldn’t reduce each of these 
activities by one-fifth. Instead, she would stop the least valuable 
activity—that of feeding birds—and preserve the most valuable activities 
intact. Thus, the value of one sack of grain to the farmer is precisely the 
satisfaction she stands to lose if she is unable to feed birds. This is the 
marginal utility of each sack.[5]

In normal circumstances, people intent on buying diamonds have no further need 
for any concrete quantity of drinking water. They don’t stand to lose any 
amount of satisfaction if they pass up the chance to use more water. Yet the 
same isn’t true of diamonds, which are typically scarce enough so that, in 
Menger’s words, “even the least significant satisfactions assured by the total 
quantity available still have a relatively high importance to economizing 
men.”[6] This explains the higher price of a unit of diamonds compared to a 
unit of water. It’s also worth noting that the marginal approach also holds 
true in unusual circumstances. If someone on a desert island must choose 
between a chest full of diamonds and a gallon of water, chances are they’ll 
prefer the water.

Jevons, Menger, and Walras succeeded in explaining diverse economic phenomena, 
and resolved a paradox that had befuddled Adam Smith, Karl Marx, and all who 
came between and before them. Their insistence on the subjective nature of 
economic value, and the impossibility of calculating the “true cost” of any 
good, continues to challenge many notions widely held today.

[1] Adam Smith, An Inquiry into the Nature and Causes of the Wealth of Nations 
(MetaLibri, 2007), https://bit.ly/2fvwmCh (PDF).

[2] Smith, Wealth of Nations, 28.

[3] Karl Marx, Capital, A Critique of Political Economy (Marxists.org, 2015), 
https://bit.ly/1qHtn3M (PDF).

[4] Carl Menger, Principles of Economics (Mises Institute, 2007), 
https://bit.ly/2urdKMA (PDF).

[5] Eugen von Böhm-Bawerk, The Positive Theory of Capital (G.E. Stechert & Co., 
1930).

[6] Menger, Principles of Economics, 40.

Adam De Gree is a freelance writer and homeschool history teacher based in 
Prague. He studied Philosophy at UC Santa Barbara and can be reached by email 
here.

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