Econ-Politics: Why Prices Cannot Be Replaced

In 1920, Ludwig von Mises published “Economic Calculation in the Socialist Commonwealth.” The argument was not that central planning is difficult or that planners are incompetent or corrupt. The argument was that economic calculation without market prices is logically impossible, regardless of the intelligence or intentions of the planners. This distinction matters enormously. Mises was not making a practical objection. He was making a categorical one.

The argument rests on the nature of value. Value is subjective and ordinal. When you choose to spend an afternoon hiking rather than reading, you reveal that hiking ranks higher in your preference ordering at that moment and in that context. You are not measuring the difference in value between the two options in any cardinal sense. You cannot tell anyone, including yourself, how much more valuable hiking is than reading. You can only say you chose it. The same structure applies to every economic decision. All of them are ordinal rankings of subjectively held preferences, not cardinal measurements of objective value.

Market prices are the result of exchanges between individuals, each acting on subjective ordinal preferences under conditions of scarcity and private property. When the price of copper rises, it signals to a manufacturer in Guangzhou who has never heard of a mine in Chile that something has changed in the relative scarcity of a resource they depend on. They do not need to know what changed. The price tells them to economize on copper, and they do. Hayek called this the price system’s function as a telecommunications network of extraordinary efficiency: it transmits the relevant signal, and only the relevant signal, to precisely the actors who need it, without requiring any of them to understand the global situation.

A central planner who wants to replace this process faces a problem that is not computational. No increase in processing power resolves it, because the inputs to the calculation, the subjective valuations of millions of individuals, do not exist in any accessible form. They are revealed only through the act of exchange, under conditions of private property and real scarcity. Remove the exchanges and the information disappears. You cannot compute prices without a market for the same reason you cannot calculate the outcome of a chess game that is not being played.

Kenneth Arrow reached the same conclusion from a different direction in 1951. His impossibility theorem proves that there is no method of aggregating individual preference orderings into a collective social preference that simultaneously satisfies a small set of reasonable fairness conditions. This is not a theorem about computational limits or data availability. It is a theorem about the logical structure of preference aggregation itself. Subjective ordinal preferences cannot be summed into a social welfare function without making normative choices that no technical procedure can justify.

From my point of view, the question worth asking is not whether a sufficiently powerful computer could solve the calculation problem. It is why that question keeps being raised despite Mises’ argument being more than a century old and never having been formally refuted. I think the answer is that the conclusion is uncomfortable for a particular kind of intellectual temperament: the one that believes that understanding a system means being able to optimize it from outside. The market is a system whose logic we can understand without being able to improve on its operation by design, and that combination genuinely offends the planner’s instinct.

The relevant insight from complexity theory reinforces Mises. The economy is not a mechanism to optimize. It is a discovery process: millions of actors experimenting simultaneously with plans based on local knowledge, and prices coordinating the results without anyone processing the inputs centrally. Intervention does not improve this process. It replaces local knowledge with central ignorance.

Questions worth investigating

1. Arrow’s impossibility theorem and Mises’ calculation argument reach similar conclusions from different starting points. Has there been a rigorous formal integration of these two arguments, and what would it add to either?
2. The socialist calculation debate of the 1920s to 1940s involved Mises, Hayek, Lange, and Taylor. What did Lange actually propose, how did Hayek respond, and why does the exchange remain relevant to debates about algorithmic resource allocation today?

References

Arrow, K. J. (1951). Social Choice and Individual Values. Wiley.

Beinhocker, E. D. (2006). The Origin of Wealth: Evolution, Complexity and the Radical Remaking of Economics. Harvard Business Review Press.

Hayek, F. A. (1945). The use of knowledge in society. American Economic Review, 35(4), 519–530.

Hayek, F. A. (1948). The meaning of competition. In Individualism and Economic Order. University of Chicago Press.

Mises, L. von (1920/1935). Economic calculation in the socialist commonwealth (S. Adler, Trans.). In F. A. Hayek (Ed.), Collectivist Economic Planning. Routledge.

Mises, L. von (1949). Human Action: A Treatise on Economics. Yale University Press.