What makes merchandise valuable is usefulness and scarcity. Air is useful, but has no value, as anyone can get it easily. Trash is, even if it is very unique and hard to obtain, valueless, as it is useless. What then do both have in common?
1. Value is low entropy
Usefulness is relevance to realization of a desired purpose. Our purpose is to maintain and develop our systems. In order to reduce the entropy of open systems, we must increase more entropy in the environment. The low entropy resources useful for it are the value for the systems.
Scarcity is the difficulty to acquire commodities in short supply and great demand. The scarcer a commodity is, the more indeterminate the acquisition of it gets and the higher the entropy grows. Acquiring it or producing it is negation of the indeterminacy, namely negentropy.
2. Two theories of value
There are two theories to interpret the scarcity value, the labor theory and the marginal utility theory.
2.1. The theory of marginal utility
The marginal utility is the extra utility per additional unit of consumption. When you are thirsty, a glass of water is valuable. Another glass of water is not so valuable. The third is still less valuable. When you do not want to drink any more, the marginal utility is reduced to zero.
This is the law of diminishing marginal utilities. It is because the scarcity of the commodity decreases that the marginal utility diminishes according as the supply goes on increasing.
2.2. The labor theory
How about the labor theory of value? It is evident that labor creates value when it comes to the commodities as service. In case of the commodities as goods, what we actually pay for is not things but the labor of producing and transporting the things.
Before considering why labor can create value, let’s examine what is the difference between labor and play. A man that plays golf for pleasure might play as well as professionals. Why can the latter get paid for playing golf, while the former must pay for it?
When you play golf for pleasure, you do not have to win the game and you can quit playing whenever you lose interest in golf. Professionals cannot play so arbitrarily without any kind of punishment. Play is richer in possibilities than labor. That is to say, the entropy of labor is lower than that of play. As labor is negentropy, it can produce value.
3. From energy to entropy
Are all value is produced by labor? Does the socially necessary labor hour, as the labor theory sometimes insists, determine the value of commodities? Those who win the first prize in a lottery did not necessarily work harder than those who draw a blank. A lottery may be an extreme case, but a chance often produces value.
The hourly wage rate of some jobs is higher than that of others. The labor theory of value explains this difference by means of the opportunity cost of education and finally its value by means of labor hour. But the same hour long education under the same conditions does not always produce equally talented workers. Whether someone is talented on a certain job by birth or not is, like whether s/he can win the first prize in a lottery, accidental.
The labor theory of value cannot explain the case of lottery, but the entropy theory of value can. Suppose there are N applicants for a lottery, while the prizewinner is only one. Winning the prize decreases the entropy by logN. The bigger this N is, the more valuable winning the prize is.
The Marxist Economics that insisted the labor theory of value was economics of energy and lacked economics of entropy. Although economics of energy worked well in the era of industrial societies, it could not adapt to the era of information societies. That’s why socialist countries collapsed when the information revolution broke out.