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The Robertsonian and Swedish Systems of Period Analysis

The Review of Economics and Statistics 1950 32(1), 24
IN THE current literature, comparison continues to be made between the Robertsonian and the Swedish conceptions 2 of sequence analysis and of saving and investment (see, for example, the excellent volume, Survey of Contemporary Economics, edited by Howard S. Ellis). These conceptions appear to be in some manner similar, yet different; but just what is the difference seems to be a somewhat baffling question. To guide the reader, I propose to state certain propositions at the outset: I. The Robertsonian formulation may consist merely of a set of definitions, as presented in his I933 Economic Journal article on Saving and Hoarding (and it is this formulation which Keynes comments upon in the General Theory); second, his period analysis may be presented as a definite formulation of the multiplier sequence over time 3 as is done in his November, I936 Quarterly Journal of Economics review article on Keynes' General Theory. The second formulation makes use of the earlier terminology, but it does not stop with mere definitions; it suggests a definite empirical hypothesis.4 Throughout the following I shall be considering the second formulation, not simply the first. 2. The second Robertsonian formulation is not, as is commonly supposed, a mere tautology. The view that it is such overlooks the third equation referred to below. 3. The Swedish analysis based on the divergence of planned saving and planned investment, as originally interpreted, does not appear to offer a satisfactory theory of income expansion or contraction. 4. Useful analyses can, however, be made in terms of the discrepancy between certain magnitudes, such as the divergence between desired consumption and actual consumption (expenditure-lag) and the divergence between intended investment and actual investment (output-lag). These formulations are often stated in terms which bear some resemblance to, though in fact they are different from, the original Swedish formulation. The expenditure-lag is an integral part of the Robertsonian formulation. And the output-lag 5 (divergence of output from sales) has been employed by Lundberg and Metzler. Both formulations play a significant role in the explanation of the cumulative process. In each case, expansion or contraction will follow as a result of the unsatisfied conditions.

A Note on Savings and Investment

The Review of Economics and Statistics 1948 30(1), 30
i. in his recent book Keynesian Revolution, a significant contribution to current literature, Lawrence Klein says (p. 91 ) that there are two Keyneses in the matter of the savingsinvestment equation. This statement has frequently been made before and while much has been written about it, perhaps something useful can still be added. In Klein's exposition, savings and investment as observables are always equal, being the point of intersection of the schedules of savings and investment. There is, of course, as Klein points out, no inconsistency between (i) the definition which makes actual or observable savings and investment always equal, and (2) the concept of savings and investment as intersecting schedules. Nevertheless the question remains whether these schedules are to be regarded as (a) very short run schedules which might at times shift about violently and capriciously in response to temporary conditions, or (b) longerrun schedules determined by fairly stable factors involving the behavior pattern of a community with respect to the ratio of savings to income at different income levels. 2. A related, but distinct, terminological matter should be mentioned. While the Keynesian theory of income determination can indeed be formulated in terms of savings and investment schedules, I am increasingly convinced that the presentation as given in the General Theory is more useful. In the General Theory, Keynes, in fact, did not explicitly work with savings and investment schedules,' even though it is perfectly true that his analysis can be put in these terms. General Theory, however, makes (i) actual investment and (2) the consumption function, the determinants of income. The propensity to consume and the rate of new investment determine between them the volume of employment. . (General Theory

Some Notes on Terborgh's "The Bogey of Economic Maturity"

The Review of Economics and Statistics 1946 28(1), 13
i. The notion seems to run through Terborgh's book 1 (and indeed in part through Wright's review) 2 that the economy3 thesis holds that economic stagnation is unavoidable. In fact, the bulk of my writing has been devoted to an analysis of economic policies which would give us an expanding economy and full employment. The question really is: Would a policy of mid-nineteenth-century laissez faire, now, give us that degree of expansion and full employment which we experienced in that century? 2. The essential issue is: Are the automatic forces making for investment outlets as strong in our world today as in the century preceding World War I? From the classicals on, (a) the discovery and development of new territory and new resources, (b) population growth, and (c) inventions, have always been recognized as leading factors underlying investment opportunities. In the century preceding World War I the existence of a vast unexploited continent with rich natural resources, together with the phenomenal growth of population, everywhere gave rise to optimistic expectations with respect to investment. Invention, new products, and new industries were equally important. Undeveloped resources and population growth may be described as extensive expansionist factors, while invention may be termed an intensive expansionist factor. No one denies that the extensive factors play in the current world a relatively smaller role. The argument of the critics seems to be: Well, why worry? -The intensive factors are still present. If one member of a team drops out the other can pull the full load. This may indeed be so, but at least the probabilities are the other way. I do not think that anyone will deny that if we should wake up tomorrow and find that a vast new rich continent had suddenly emerged in the Pacific or in the Atlantic, equal in resources to the North American continent, the investment opportunities for private capital in the next few decades would be enormously improved. 3. With respect to population growth, let anyone consider (as Goeffrey Crowther did in a recent article in Foreign Affairs) the probable volume of capital formation in the United States in the year 2000 compared with that in Great Britain. In making such an estimate, one would surely want to take cognizance of the larger probable growth of population in this country. That capital formation is related to volume of output is, so far as I know, not questioned. Nor is it questioned that increase in volume of output is related to: (a) growth of labor force and (b) increase in per capita productivity. The relation of capital formation (investment outlets) to population growth is now, it should be stressed, fully recognized by Terborgh in his new book. He argues that population growth has accounted for about one-third of capital formation. This figure is in fact somewhat higher than my 50-60 per cent of net capital formation.4 4. While admitting the major role of popu'George Terborgh, The Bogey of Economic Maturity (Chicago, Chemical and Allied Products Institute, I945). 2Pp. I8-22, below. 'The term secular stagnation, it should be noted, is not applicable alone to mature economies. It is perhaps the best English rendition of Spiethoff's phrase Stockung-Spanne. Even in the nineteenth century, we had prolonged periods of stagnation in which there was a preponderance of hard times, recovery and prosperity being short-lived and depressions long and severe. (See Fiscal Policy and Business Cycles, Chapter I.) 4 Terborgh is in doubt whether I meant gross or net, though the context and the language used by me should have made that quite clear. No one else as far as I know has assumed that I meant gross. I do use the term new investment, but I am not aware that the word total has ever meant gross. I used total because I was analyzing two component parts of net investment: (a) that related to population growth and the development of new territory and (b) that related to invention and technological progress.