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The formatting of that page is terrible.

Here, for those who want it, is the full essay:


THE COMPUTER AND THE MARKET  

OSKAR LANGE
 
I
 Not quite 30 years ago I published an essay  On the Economic Theory of 
Socialism.1 Pareto and Barone had shown that the conditions of economic 
equilibrium in a socialist economy could be expressed by a system of 
simultaneous equations. The prices resulting from these equations furnish a 
basis for rational economic accounting under socialism (only the static 
equilibrium aspect of the accounting problem was under con­sideration at that 
time). At a later date Hayek and Robbins maintained that the Pareto—Barone 
equations were of no practical consequence. The solution of a system of 
thousands or more simultaneous equations was in practice impossible and, 
consequently, the practical problem of economic accounting under socialism 
remained unsolvable.
 
In my essay I refuted the Hayek—Robbins argument by showing how a market 
mechanism could be established in a socialist economy which would lead to the 
solution of the simultaneous equations by means of an empirical procedure of 
trial and error. Starting with an arbitrary set of prices, the price is raised 
whenever demand exceeds supply and lowered whenever the opposite is the case. 
Through such a process of tatonnements, first described by Walras, the final 
equilibrium prices are gradually reached. These are the prices satisfying the 
system of simul­taneous equations. It was assumed without question that the 
tatonnement process in fact converges to the system of equilibrium prices.

Were I to rewrite my essay today my task would be much simpler. My answer to 
Hayek and Robbins would be: so what’s the trouble?

Let us put the simultaneous equations on an electronic computer and we shall 
obtain the solution in less than a second. The market process with its 
cumbersome tatonnements appears old-fashioned. Indeed, it may be considered as 
a computing device of the preelectronic age.


II

  The market mechanism and trial and error procedure proposed in my essay 
really played the role of a computing device for solving a system of 
simultaneous equations. The solution was found by a process of iteration which 
was assumed to be convergent. The iterations were based on a feedback principle 
operating so as to gradually eliminate deviations from equilibrium. It was 
envisaged that the process would operate like a servomechanism, which, through 
feedback action, automatically eliminates disturbances.2
 
The same process can be implemented by an electronic analogue machine which 
simulates the iteration process implied in the tátonnements of the market 
mechanism. Such an electronic analogue (servo-mechanism) simulates the working 
of the market. This statement, how­ever, may be reversed: the market simulates 
the electronic analogue computer. In other words, the market may be considered 
as a computer sui generis which serves to solve a system of simultaneous 
equations. It operates like an analogue machine: a servo-mechanism based on the 
feedback principle. The market may be considered as one of the oldest 
historical devices for solving simultaneous equations. The interesting thing is 
that the solving mechanism operates not via a physical but via a social 
process. It turns out that the social processes as well may serve as a basis 
for the operation of feedback devices leading to the solution of equations by 
iteration.
 


III

  Managers of socialist economies today have two instruments of eco­nomic 
accounting. One is the electronic computer (digital or analogue), the other is 
the market. In capitalist countries too, the electronic com­puter is to a 
certain extent used as an instrument of economic account­ing. Experience shows 
that for a very large number of problems linear approximation suffices; hence 
the wide-spread use of linear programming techniques. In a socialist economy 
such techniques have an even wider scope for application: they can be applied 
to the national economy as a whole.
 
It may be interesting to compare the relative merits of the market and of the 
computer in a socialist economy. The computer has the un­doubted advantage of 
much greater speed. The market is a cumbersome and slow-working 
servo-mechanism. Its iteration process operates with considerable time-lags and 
oscillations and may not be convergent at all. This is shown by cobweb cycles, 
inventory and other reinvestment cycles as well as by the general business 
cycle. Thus the Walrasian tatonnements are full of unpleasant fluctuations and 
may also prove to be divergent. In this respect the electronic computer shows 
an unchal­lenged superiority. It works with enormous speed, does not produce 
fluctuations in real economic processes and the convergence of its iterations 
is assured by its very construction.
Another disadvantage of the market as a servo-mechanism is that its iterations 
cause income effects. Any change in prices causes gains and losses to various 
groups of people. To the management of a socialist economy this creates various 
social problems connected with these gains and losses. Furthermore, it may 
mobilise conservative resistance to the iteration process involved in the use 
of the market as a servo-mechanism.

 

IV

All this, however, does not mean that the market has not its relative merits. 
First of all, even the most powerful electronic computers have a limited 
capacity. There may be (and there are) economic processes so complex in terms 
of the number of commodities and the type of equations involved that no 
computer can tackle them. Or it may be too costly to construct computers of 
such large capacity. In such cases nothing remains but to use the old-fashioned 
market servo-mechanism which has a much broader working capacity.
 
Secondly, the market is institutionally embodied in the present socialist 
economy. In all socialist countries (with the exception of certain periods when 
rationing was used) consumers’ goods are distributed to the population by means 
of the market. Here, the market is an existing social institution and it is 
useless to apply an alternative accounting device. The electronic computer can 
be applied for purposes of prognosti­cation but the computed forecasts have 
later to be confirmed by the actual working of the market.
 



An important limitation of the market is that it treats the accounting problem 
only in static terms, i.e. as an equilibrium problem. It does not provide a 
sufficient foundation for the solution of growth and develop­ment problems. In 
particular, it does not provide an adequate basis for long-term economic 
planning. For planning economic development long-term investments have to be 
taken out of the market mechanism and based on judgment of developmental 
economic policy. This is because present prices reflect present data, whereas 
investment changes data by creating new incomes, new technical conditions of 
production and frequently also by creating new wants (the creation of a 
television industry creates the demand for television sets, not the other way 
round). In other words, investment changes the conditions of supply and demand 
which determine equilibrium prices. This holds for capitalism as well as for 
socialism.



For the reasons indicated, planning of long-term economic develop­ment as a 
rule is based on overall considerations of economic policy rather than upon 
calculations based on current prices. However, the theory and practice of 
mathematical (linear and non-linear) pro­gramming makes it possible to 
introduce strict economic accounting into this process. After setting up an 
objective function (for instance, maximizing the increase of national income 
over a certain period) and certain constraints, future shadow prices can be 
calculated. These shadow prices serve as an instrument of economic accounting 
in long-term development plans. Actual market equilibrium prices do not suffic 
here, knowledge of the programmed future shadow prices is needed.
 



Mathematical programming turns out to be an essential instrument of optimal 
long-term economic planning. In so far as this involves the solution of large 
numbers of equations and inequalities the electronic computer is indispensable. 
Mathematical programming assisted by electronic computers becomes the 
fundamental instrument of long-term economic planning, as well as of solving 
dynamic economic problems of a more limited scope. Here, the electronic 
computer does not replace the market. It fulfils a function which the market 
never was able to perform.
 
 


On 6 Oct 2014, at 17:01, Jim Farmelant via Marxism 
<marxism@lists.csbs.utah.edu> wrote:
> 
> 
> Full: 
> http://econc10.bu.edu/economic_systems/Theory/NonMarx_Socialism/Soc_Contraversy/lange_computer_and_the_market.htm
> 
> 
> 
> Jim Farmelant

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