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NOTE 11.18. The Fallacy of the Acceleration Principle

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18. The Fallacy of the Acceleration Principle

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The Acceleration Principle has been adopted by some Keynesians as their explanation of

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investment, then to be combined with the multiplier to yield various mathematical models of the

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business cycle. The Acceleration Principle antedates Keynesianism, however, and may be

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The essence of the acceleration principle may be summed up in the following illustration.

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Let us take a certain firm or industry, preferably a first-rank producer of consumers' goods.

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Assume that the firm is producing an output of 100 units of a good during a certain period

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of Time and that 10 machines of a certain type are needed in this production. If the period is a year,

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consumers demand and purchase 100 units of output per year. The firm has a stock of 10 machines.

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Suppose that the average life of a machine is 10 years. In equilibrium, the firm buys one machine

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as a replacement every year, assuming it had bought a new machine every year to build up to 10.

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It is usually overlooked that this replacement pattern necessary to the acceleration principle

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could apply only to those firms or industries that had been growing in size rapidly and continuously.

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Now suppose that there is a 20% increase in the consumer demand for the firm's output.

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Consumers now wish to purchase 120 units of output. Assuming a fixed ratio of capital investment to output,

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it is now necessary for the firm to have 12 machines, maintaining the ratio of 1 machine to 10 units of annual output.

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In order to have the twelve machines, it must buy two additional machines this year.

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Add this demand to its usual demand of one machine, and we see that there has been a 200% increase in demand for the machine.

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A 20% increase in demand for the product has caused a 200% increase in demand for the capital good.

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Hence, say the proponents of the Acceleration Principle, an increase in consumption demand

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in general causes an enormously magnified increase in demand for capital goods, or rather

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it causes a magnified increase in demand for fixed capital goods of high durability.

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Obviously, capital goods lasting only one year would receive no magnification effect.

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The essence of the acceleration principle is the relationship between the increased

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demand and the low level of replacement demand for a durable good.

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The more durable the good, the greater the magnification, and the greater, therefore,

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the acceleration effect.

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Now suppose that in the next year consumer demand for output remains at 120 units.

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There has been no change in consumer demand from the second year when it changed from

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100 to 120 to the third year.

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And yet, the accelerationists point out, dire things are happening in the demand for fixed capital.

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For now, there is no longer any need for firms to purchase any new machines beyond what is

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necessary for replacement.

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Needed for replacement is still only one machine per year.

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As a result, while there is zero change in demand for consumers' goods, there is a

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200% decline in demand for fixed capital, and the former is the cause of the latter.

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In the long run, of course, the situation stabilizes into an equilibrium with 120 units

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of output and one unit of replacement.

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But in the short run, there has been consequent upon a simple increase of 20% in consumer

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demand.

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First, a 200% increase in the demand for fixed capital, and next, a 200% decrease.

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To the upholders of the Acceleration Principle, this illustration provides the key to some

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of the main features of the business cycle, the greater fluctuations of fixed capital

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goods industries as compared with consumers goods, and the mass of errors revealed by

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the crisis in the investment goods industries.

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The Acceleration Principle leaps boldly from the example of a single firm to a discussion

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Transformation of Aggregate Consumption and Aggregate Investment

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Everyone knows, the advocates say, that consumption increases in a boom.

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This increase in consumption accelerates and magnifies increases in investment.

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Then, the rate of increase of consumption slows down, and a decline is brought about

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in investment in fixed capital.

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Furthermore, if consumption demand declines, then there is excess capacity in fixed capital,

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another feature of the depression.

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The acceleration principle is rife with error.

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An important fallacy at the heart of the principle has been uncovered by W. H. Hutt.

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We have seen that consumer demand increases by 20 percent, but why must two extra machines

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must be purchased in a year.

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What does the year have to do with it?

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If we analyze the matter closely, we find that the year is a purely arbitrary and irrelevant

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unit, even within the terms of the example itself.

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We might just as readily take a week as the period of time.

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Then we would have to say that consumer demand, which after all goes on continuously, increases

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20% over the first week, thereby necessitating a 200% increase in demand for machines in

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the first week, or even an infinite increase if the replacement does not precisely occur

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in the first week, followed by a 200% or infinite decline in the next week, and stability thereafter.

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A week is never used by the accelerationists, because the example would then be glaringly

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inapplicable to real life, which does not see such enormous fluctuations in the course

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of a couple of weeks.

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But a week is no more arbitrary than a year.

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In fact, the only non-arbitrary period to choose would be the life of the machine, for

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example, ten years.

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Over a 10-year period, demand for machines had previously been 10 in the previous decade,

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and in the current and succeeding decades, it will be 10 plus the extra 2, that is, 12.

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In short, over the 10-year period, the demand for machines will increase precisely in the

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Since businesses buy and produce over planned periods covering the life of their equipment,

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there is no reason to assume that the market will not plan production suitably and smoothly

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without the erratic fluctuations manufactured by the model of the acceleration principle.

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There is in fact no validity in saying that increased consumption requires increased production

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of machines immediately.

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On the contrary, it is only increased saving and investment in machines at points of time

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chosen by entrepreneurs strictly on the basis of expected profit that permits increased

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Production of Consumers' Goods in the Future.

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Secondly, the Acceleration Principle makes a completely unjustified leap from the single

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firm or industry to the whole economy.

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A 20% increase in consumption demand at one point must signify a 20% drop in consumption

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somewhere else.

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Or how can consumption demand in general increase?

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Consumption demand in general can increase only through a shift from saving.

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But if saving decreases, then there are less funds available for investment.

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If there are less funds available for investment, how can investment increase even more than

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consumption?

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In fact, there are less funds available for investment when consumption increases.

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Consumption and investment compete for the use of funds.

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Another important consideration is that the proof of the acceleration principle is couched

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in physical rather than monetary terms.

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Actually, consumption demand, particularly aggregate consumption demand, as well as demand

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for capital goods, cannot be expressed in physical terms.

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It must be expressed in monetary terms, since the demand for goods is the reverse of the

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supply of money on the market for exchange.

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If consumer demand increases either for one good or for all, it increases in monetary

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terms, thereby raising prices of consumers' goods.

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Yet we notice that there has been no discussion whatever of prices or price relationships

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in the acceleration principle.

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This neglect of price relationships is sufficient by itself to invalidate the entire principle.

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The neglect of prices and price relations is at the core of a great many economic fallacies.

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The acceleration principle simply glides from a demonstration in physical terms to a conclusion

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in monetary terms.

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Furthermore, the acceleration principle assumes a constant relationship between fixed capital

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and output, ignoring substitutability.

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The possibility of a range of output, the more or less intensive working of factors.

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It also assumes that the new machines are produced practically instantaneously, thus ignoring

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the requisite period of production.

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In fact, the entire acceleration principle is a fallaciously mechanistic one, assuming

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automatic reactions by entrepreneurs to present data, thereby ignoring the most important

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fact about entrepreneurship, that it is speculative, that its essence is estimating the data of

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the uncertain future.

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It therefore involves judgment of future conditions by businessmen, and not simply

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blind reactions to past data.

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All entrepreneurs are those who best forecast the future.

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Why can't the entrepreneurs foresee the supposed slackening of demand and arrange their investments

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accordingly?

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In fact, that is what they will do.

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If the economist, armed with knowledge of the acceleration principle, thinks that he

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will be able to operate more profitably than the generally successful entrepreneur, why

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Why does he not become an entrepreneur and reap the rewards of success himself?

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All theories of the business cycle attempting to demonstrate general entrepreneurial error

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on the free market, founder on this problem.

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They do not answer the crucial question, why does a whole set of men, most able in judging

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the future, suddenly lapse into forecasting error?

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A clue to the correct business cycle theory is contained in the fact that buried somewhere

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in a footnote or minor clause of all business cycle theories is the assumption that the

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money supply expands during the boom, in particular through credit expansion by the banks.

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The fact that this is a necessary condition in all the theories should lead us to explore

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for this factor further. Perhaps it is a sufficient condition as well. But, as we have seen, there

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can be no bank credit expansion on the free market, since this is equivalent to the issue

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of fraudulent warehouse receipts. The positive discussion of business cycle theory will have

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to be postponed to the next chapter, since there can be no business cycle in the purely

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Business cycle theorists have always claimed to be more realistic than general economic theorists.

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With the exceptions of Mises and Hayek correctly, and Schumpeter fallaciously,

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none has tried to deduce his business cycle theory from general economic analysis.

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It should be clear that this is required for a satisfactory explanation of the business cycle.

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Some, in fact, have explicitly discarded economic analysis altogether in their study of business cycles,

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while most writers use aggregate models with no relation to a general economic analysis of individual action.

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All of these commit the fallacy of conceptual realism, that is, of using aggregative concepts and shuffling them at will,

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without relating them to actual individual action while believing that something is being

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said about the real world.

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The business cycle theorist pours over sine curves, mathematical models and curves of

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all types.

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He shuffles equations and interactions and thinks that he is saying something about the

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economic system or about human action.

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In fact, he is not.

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The overwhelming bulk of current business cycle theory is not economics at all, but

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meaningless manipulation of mathematical equations and geometric diagrams.
