2013/07/29

The Turning Point in Keynes’s Theoretical Development - From A Treatise on Money to the General Theory


 
 

The Turning Point in Keynes’s Theoretical Development

From A Treatise on Money to the General Theory

 

Toshiaki Hirai*

Faculty of Economics, Sophia University, Tokyo, Japan

 

Our findings indicate that Keynes reached a turning point towards the end of 1932, meaning by this not his establishment of the theory determining the level of employment (or output), but his construction of a new model which we refer to as ‘Model 1’ below. The crucial evidence comes from two sources: the manuscript entitled «The Parameters of a Monetary Economy», and Keynes’s 1932 Michaelmas lectures. We also show that the Cambridge Circus, with Kahn as the central figure, greatly contributed to prompt Keynes’s to reconstruct his theory along new lines after a period of contrast with the Circus.

 

 

1. Introduction

 

How did Keynes proceed from A Treatise on Money (hereafter the Treatise) to the General Theory? What was it that enabled him to change from the world of the former to that of the latter, and where exactly is the change to be located? These questions are crucial in understanding the Keynesian Revolution, and many interpretations have consequently been put forward. In our view, however, they lack the groundwork of thorough investigation. The present paper seeks to answer these questions convincingly with a new interpretation.

Naturally, our investigation is made in relation to how we understand both the Treatise and the General Theory. Section 2 will outline our understanding of the two books. Then, in Sections 3 and 4 – forming the focal point of our paper – we go on to examine, respectively, «The Parameters of a Monetary Economy» and Keynes’s lectures. In Section 5 we discuss the contribution made by Kahn to Keynes’s turning point.

 

 

2.   The Relation between the Treatise, the Wicksell Connection,

and the GeneralTheory

 

2.1. The Treatise and the Wicksell Connection[1]

 

The most significant feature of the Treatise theory should be the coexistence of a Wicksellian theory and ‘Keynes’s own theory’.

  We designate the monetary economic tradition, stemming from Wicksell and developed by various economists, as the ‘Wicksell Connection’. Wicksell approved of the separation of the theory of relative prices from that of money prices in neo-classical economics, putting forward the theory of cumulative process, while Myrdal, Lindahl, Hayek, Mises and so forth endeavored to construct their own brands of monetary economics, criticizing the neoclassical system per se.

  The Treatise belongs to this stream of thought in explaining the fluctuations of the economy in terms of the natural and money rates of interest, and accepting Wicksell’s three conditions of monetary equilibrium.

  At the same time, however, Keynes develops his own theory, which consists of two parts, one of which addresses the determination of variables relating to consumption goods and investment goods in ‘each period’ (Mechanisms 1 and 2, respectively).

 

(Mechanism 1) The cost of production and the volume of output are determined at the beginning of the current period. Once the expenditure for consumption goods is determined on the basis of earnings, it is automatically realized as the sale proceeds of consumption goods, and the price level and the profit amount are simultaneously determined.

 

(Mechanism 2) The cost of production and the volume of output are determined at the beginning of the current period. The price level of investment goods is determined either in the stock market or as the demand price of capital goods. As a result, profit is determined.

 

  The other part deals with the determination of variables between one period and the next.

 

 (Mechanism 3)  The TM supply function

The behavior of entrepreneurs is such that, if they make a profit (loss) in the current period, they expand (contract) output in the next.

 

  We will refer to this behavioral function as the TM supply function in that it is peculiar to the Treatise on Money.

  Now, ‘Keynes’s own theory’ can be expressed as the dynamic process consisting of Mechanisms 1 and 2 working through Mechanism 3.2 As a result of this process, the economy may or may not reach long-period equilibrium. This interpretation sees the Treatise theory as articulating a dynamic process inclusive of price levels and volumes of output.

 

2.2. After the Treatise

 

We further argue that Keynes’s own theory is crucial to an understanding of his theoretical development, while the Wicksellian theory is abandoned after the Treatise. He defended his dynamic theory against attacks from Hawtrey, Robertson, Hayek, the «Cambridge Circus» (to be explained later) and others. The noteworthy feature of the period ending around October 1932 is the stress he places on the TM supply function,3 which suggests that a lead may be found by examining his attitude towards this function.

  We might even say that Keynes’s abandonment of the function shook the foundations of his theory up to mid-1932, and the main components of the General Theory were built as a consequence. Of course, the Keynesian Revolution did not simply come about through abandonment of the Treatise’s output mechanism. Its core lies in the formulation of a theory determining the level of employment, although it was abandonment of the mechanism that opened the way to it.

 

2.3. The General Theory4

 

The striking feature of the General Theory is that Keynes sees the market economy as possessing two contrasting ranges of potentialities: stability, certainty, and simplicity vs. instability, uncertainty, and complexity. We might summarize his fundamental perception as follows:

 

The market economy is stable in the sense that it can remain in ‘underemployment equilibrium’, but this stability is guaranteed only subject to certain constraints. If it goes beyond these, the economy becomes unstable and falls into chaos.

 

  Although we should not overlook the second aspect, what most mattered to Keynes was maintenance of full employment. He seems sure that the prospect of the economy being undermined through the collapse of the second aspect is remote, and an economy in underemployment equilibrium could be cured by means of economic policy.5

  Keynes puts forward his theory of underemployment equilibrium as a matter of monetary economics, as distinct from real economics. His fundamental idea is succinctly expressed in Section I of Chapter 21. He presents two ways of dividing up economics. One is a division «between the theory of the individual industry or firm and of the rewards and the distribution between different uses of a given quantity of resources on the one hand, and the theory of output and employment as a whole on the other hand» (The General Theory [hereafter GT], 293). The other is a division «between the theory of stationary equilibrium and the theory of shifting equilibrium» (GT, 293). In both cases, the criterion of division hinges on whether we need pay attention to money. Keynes insists that when we are dealing with determination of the level of output and employment as a whole, we cannot proceed without taking into consideration the significant role of money.

  Keynes argues that monetary economics remains «a theory of value and distribution, not a separate theory of money» (GT, 294). That is, monetary economics should be a theory in which value and distribution are treated as inseparable from money.

 He rejects two classical theories the classical theory of the rate of interest and the quantity theory of money. In their place, he puts forward, respectively, the theory of liquidity preference and the theory that the effect of changes in the quantity of money on the general price level should consist of the effect on the wage-unit and that on the volume of employment.

 With his rejection of the classical theory of labor, moreover, he advances the theory that the volume of employment is determined by effective demand.

  It is in Section II of Chapter 3 and Section II of Chapter 18 that the ‘General Theory - the theory of the determination of the volume of employment (or income) - is most succinctly stated.6 In the former place Keynes summarizes the theory in terms of how an equilibrium volume of employment is determined, while in the latter he summarizes it in terms of how a new equilibrium level of income is obtained after some change in the level of investment.

  The following statements are extracted from Section II of Chapter 3:

 

The amount of current investment will depend...on what we shall call the inducement to invest; and the inducement to invest will be found to depend on the relation between the schedule of the marginal efficiency of capital and the complex of rates of interest on loans of various maturities and risks.

  Thus, given the propensity to consume and the rate of new investment, there will be only one level of employment consistent with equilibrium ... Hence the volume of employment in equilibrium depends on...the aggregate supply function...the propensity to consume...and...the volume of investment.... This is the essence of the General Theory of Employment.

(GT, 27-29)

 

  In Section II of Chapter 18, having explained his theory of investment, Keynes states that

 

...an increase (or decrease) in the rate of investment will have to carry with it an increase (or decrease) in the rate of consumption... The relation between the increment of consumption which has to accompany a given by the marginal propensity to consume. The ratio, thus determined, between an increment of investment and the corresponding increment of aggregate income, both measured in wage-units, is given by the investment multiplier.

  Finally, if we assume...that the employment multiplier is equal to the investment multiplier, we can, by applying the multiplier to the increment (or decrement) in the rate of investment brought about by the factors first described, infer the increment of employment.

(GT, 248)

 

3. «The Parameters of a Monetary Economy»

 

In this section we examine the manuscript entitled «The Parameters of a Monetary Economy» (hereafter PME. JMK.13, 397-405 [JMK.y means The Collected Writings of John Maynard Keynes, Vol.y. See References]). We begin by discussing three ideas introduced for the first time, which signpost the ‘turning point’ toward the General Theory. We then point out that PME is, nevertheless, still incomplete on several points.

 

3.1. Progressive Ideas

 

The Concept of «Complex» – In PME Keynes rejects the concept of «index» and instead utilizes that of «complex». In the case of assets, for example, this results in a vector of prices instead of an index of the prices of individual assets. The latter is different from the former, as it is obtained, on the basis of the prices of individual assets, through some formula representing the price level as a whole. Methodologically, the concept of «complex» represents the starting point on the road to the General Theory.7

 

The reader should note that we are here interpreting P2, not as the average price of assets..., but as the complex of prices of assets. For, since the supply schedules of different industries will not be the same, the same average price may lead to a different volume of investment if it is differently made up.

 (JMK.13, 399)8

 

  When reading this, we should recall his great expertise on the index problem, typically shown in «The Method of Index Numbers» (1909; Keynes, 1983, Chapter 2) and Book II of the Treatise, and the fact that the General Theory adopts «two fundamental units of quantity» (GT, 41).

 

  A New Formula for a System of Commodity Markets – Of the three ideas  introduced in PME, a new model for a system of commodity markets is the most important, marking a breakthrough that would lead to the General Theory. In this model, Keynes adopts an idea similar, in certain respects, to the multiplier theory and formulates a supply schedule as a function of a complex of prices.

  The model is described by:

 

               P2 = B (ρ)         (1)

              I΄= C (P)        (2)

              I = P2 × I΄          (3)

              P= G (I, H)       (4)

              R = H (P)      (5)

Where ρ denotes the complex of interest rates, P1 and P2 the price complex of consumables and that of capital assets, B the complex of expected quasi-rents, I΄ the current volume of investment, H and C the supply schedule of investment goods and that of consumables, I the value of investment, G the general state of time preference, and R the output of consumables.

 

  The model runs as follows. Given the complex of interest rates, the price complex of capital assets is determined by equation (1). Once we have this, the volume of investment is determined by equation (2). The value of investment is determined by equation (3). From this and equation (5), the price complex of consumables and the output of consumables are determined by equation (4).

  Let us examine each equation in turn. Equation (1) is a theory determining the price level of capital assets by their prospective yields and the rate of interest. The price complex of the total stock of assets is assumed to regulate that of currently produced assets.9

  In fact, equation (1) is virtually the «demand price of the investment» of the General Theory (GT, 137). The time series of quasi-rents which a capital asset is expected to yield («prospective yield» in the General Theory) is compared with  the «present value of a debt which would have an interest yield year by year» (JMK.13, 398).

  In addition, the mechanism determining the rate of interest and the method of valuing assets are clearly distinguished. In this connection, Keynes refers to «the failure of the attempt to avoid [the] circularity which makes Marshall’s treatment of the rate of interest unsatisfactory»10 (JMK.13, 400). In PME, incidentally, no reference is made to the «supply price of the investment» of the General Theory.

  Keynes defines two supply schedules as functions of the price complex.11 Although PME provides no evidence of what they look like, we can infer from the lecture given on 21 November 1932 that they are the same as the «first postulate of the classical economics» in the General Theory. In these schedules, the volumes of output in both sectors depend on the prices in the current period. This is his first attempt to use the first postulate, although up to ‘the Second Manuscript of 1933’ (JMK.29, 63, 66-73, 87-92, 95-102) he hesitates to use it.12

  Equation (4) deals with consumption:

 

When we ... deduce from the general state of time preference,..., what part of the community’s aggregate income will be spent and what part will be reserved, we are soon in difficulties. For the amount of total expenditure responds immediately to the amount of total income, whilst, for the community as a whole, the amount of total income depends ... directly and immediately on the amount of total expenditure. We ...must approach our goal...by a different route.

 (JMK.13, 400)

 

  Interestingly, Keynes appears to reject an idea which later leads to the consumption function. The «different route» adopted here is a theory to the effect that the price level of consumables is determined where investment becomes equal to saving:

 

...since the amount of money reserved by the public out of their incomes must always be exactly equal to the amount of current investment, the level of prices...has to rise to a point at which the amount of money which the public desire to reserve [saving], having regard to the general state of time preference, is equal to the amount of current investment.

 (JMK.13, 401)

 

  Or

             P= G (I)             (4)΄

 

  Equation (4) is an improved version of equation (4)΄:

 

Hence we must bring in the supply schedule … of consumables, namely R= H (P) ..., and re-write our equation for P as P= G (I, H).

  (JMK.13, 403)

 

  Thus, with the supply schedule taken into consideration, the price level (and output) of consumables is determined in such a way that investment becomes equal to saving. This equality13 is crucial, for it means a shift from a theory of investment-saving deviation to that of investment-saving equilibrium, which gave him a chance to change his model building.14

 

  In order to complete the model, Keynes puts forward the equation for the complex of interest rates:

 

                           ρ = A (M)         (6)

where A denotes the state of liquidity preference and M the quantity of money.

 

The public have no power to determine the available aggregate of liquid funds of money. ...the rate of interest has to move until the amount of money which the public desire to hold, having regard to their liquidity preferences, is equal to the amount of money which the banking system is creating.

(JMK.13, 400-401)

 

  Keynes argues that liquidity preference determines the rate of interest, a concept that makes its first appearance here apart from the seminal elements contained in «The Monetary Theory of Production» (JMK.13, 381-396; hereafter MTP). Expressions such as «a debt which would have an interest» (JMK.13, 398), and «the price of debts (i.e. the rate of interest) » (JMK.13, 405), indicate that he conceives of money and debts on equal terms (in the Treatise money was compared with assets and debts together). Notwithstanding the difference in the commodity market mechanism, however, both MTP and PME share the view that the role of the rate of interest is confined to determination of the price complex of capital assets (and investment goods).

  The system (1)-(6), which we call ‘Model 1’, has six endogenous variables, so that it can be solved. Equation (4) is the most important, for equilibrium of investment and saving is used to determine the price complex of consumables in the current period. We should also pay attention to the mechanism by which the values of investment and consumption are determined. This works in such a way that their prices and volumes of output are determined simultaneously, the TM supply functions being dispensed with. The following passage dealing with consumption should be read with this in mind:

 

The simplest condition for stable equilibrium is that when aggregate income changes, the change in aggregate expenditure should be the same in direction but smaller in absolute amount.15

  (JMK.13, 401)

 

  «Aggregate expenditure» refers to consumption expenditure, while «condition» connotes a stability condition for P1 and can be understood as a version of the «fundamental psychological law» the first appearance of this idea, though here it relates to the stability of P1.

 

  To sum up, Model 1 contributes to the General Theory on the following points:

 

(1) the supply schedule based on the first postulate;

(2) the equality of investment and saving; 

(3) the value of investment, the general state of time preference, and the supply schedule of consumables, as factors determining the mechanism of the consumption goods sector;

  (4) the theory of liquidity preference.

 

  Point (3) is similar to the multiplier theory of the General Theory in which, given the value of investment, the prices and quantities of consumables are determined by the propensity to consume and the supply schedule of consumables.16

 

  The Variables in a System of Simultaneous Equations and Their Causal Relations – In PME Keynes consciously builds his theory as a system of simultaneous equations. In this connection, the following is very instructive, for he attaches importance to the causal relations as well:

 

These parameters ...are not entirely independent of one another and the schedules expressing them should be stated...in the form of simultaneous equations. But for purposes of analysis they are as distinct from one another as economic factors ever are. Incidentally they yield between them the price complexes of the three classes of purchasable things, ... and...there is significance in the statements that, given the quantity of money, the price of debts... is primarily determined by the state of liquidity preference; that, given the rate of interest, the price of assets is primarily determined by the expectation of quasi-rent; and that, given the price of assets, the price of consumables is primarily determined by the state of time preference.

 (JMK.13, 405)

 

  It is crucial to grasp Keynes’s conception of the causal relations, for it reveals his position concerning the relation between his model and the real world, and illuminates his policy outlook.

  He stresses the ability of the monetary authority to adjust the rate of interest in such a way that the economy can attain an optimum level of output. Here we approached our discussion starting from the commodity markets, but it is our contention that the money market plays a crucial role in PME. The following is from «9 The Parameters of a Monetary Economy» the same approach runs through the General Theory:

 

Let us imagine that we have been asked to explain what consequences will result to prices, output and incomes if the monetary authority decides to increase the quantity of money by a given amount. In what way will it be most instructive for us to give our explanations? For to lay down the general principles on which questions of this kind can be answered is the object of the monetary theory of production.

 (JMK.13, 396-397)

 

  Considering PME in terms of the part it plays in Keynes’s development, we may evaluate it as follows. Keynes here abandons construction of a dynamic model making use of the TM supply function, introducing in consequence the theory of investment-saving equilibrium (as determining the price level of consumables). Moreover, Model 1 offers a key to understanding the General Theory, the roles of prices and the ‘supply side’ being more explicitly expressed here.

  It should be noted that PME has so far been either ignored or at any rate undervalued. For example, Patinkin (1982, 21-23), who makes no reference to PME in Patinkin (1976; 1993), regards PME as being largely in the Treatise mold. In Amadeo (1989), Hession (1984, Chapter 12), and Moggridge (1992, Chapter 21), PME finds no mention.

  Even the scholars who stress the importance of PME such as Vicarelli (1984), Hishiyama (1993), Kojima (1997) and Okada (1997), seem to fall short of grasping its true significance. Asano (1987), having detected certain progressive elements in PME, argues that Keynes still adheres to the Treatise theory.

 

 

3.2. The Incompleteness

 

For the above reasons we attach great importance to PME as the turning point, but this is not to say that it is theoretically consistent. In fact, three incomplete points can be picked out.

  First, notwithstanding the presentation of Model 1, Keynes still clings to the TM supply function:

 

In the foregoing we have assumed that the supply schedules of assets and consumables are dependent on the prices of the articles produced. This would be reasonable for a single industry... But it is not reasonable for industry as a whole, ...it is more nearly accurate to think of the supply schedule as relating output to profit.

(JMK.13, 403)

 

  He then puts forward a model with equations (2) and (5) as replaced by (2)΄ and (5)΄ respectively:

 

                              P2 = B (ρ)           (1)

                   = C΄ (Q2)         (2)΄

                              I   = P2×         (3)

                              P1 = G (I, H΄)         (4)΄

                R  = H΄ (Q1)         (5)΄

                              ρ = A (M)             (6)

where Q1 denotes profit of the consumption goods industry, Q2 profit of the capital goods industry, C΄ and H΄ a supply function defined as a function of profit in the capital goods industry and the consumption goods industry respectively.

  This system, which we call ‘Model 2’, is virtually the same as the model in «9 The Parameters of a Monetary Economy» (JMK.13, 396-397).

  As far as the rate of interest and the price complex of capital assets are concerned, Model 2 is the same as Model 1. The profit per unit of output in the capital goods industry, q2, is determined as the difference between the price complex of capital assets P2 and their cost w, which is assumed to be constant. Then, I΄ is determined by equation (2)΄ and Q2= q2×I΄. Taking Q1= q1×R, where q1 denotes the profit per unit of output in the consumption goods industry, into consideration, equation (5)΄ can be taken as exhibiting the relation of qto R. Let us express this as R = h (q1). Together with P1= q1 + w and R = h (q1), equation (4)΄ determines q1, P1, and R.

  The problem with Model 2 lies in equations (2)΄ and (5)΄. They are not the TM supply functions, although Keynes takes them to be so. It should be noted that even in Model 2 profit plays no dynamic role, and the volumes of output are determined in the current period.

  Second, Keynes advances the theory that, given the rate of interest, the prices of capital assets are determined by expected quasi-rents, which means that the marginal efficiency of capital has yet to appear.

  Third, Model 1 does not provide an argument in terms of macro-variables such as the aggregate supply and demand functions in Chapter 3 of the General Theory. It was not until 1933 that he developed such an argument.17

 

  We might be tempted to regard PME as still belonging to the Treatise world in consideration of the fact that (i) Keynes still clings to the TM supply function, and (ii) both Models 1 and 2 deal with the price levels only, and (iii) the liquidity preference theory is not the same as that in the General Theory.

  However, to regard PME in this way would be to overlook its importance. In either Model both the price levels and the volumes of output are determined in the current period in which profit plays no role. Among other things, we should note that in Model 1 the price level of the consumables is determined in such a way that investment becomes equal to saving.

 

4. 1932 Michaelmas Lectures

 

  Further important material indicating the turning point is to be found in the 1932 Michaelmas lectures, for which we have notes taken by Bryce, Cairncross and Tarshis18, as well as the lecture drafts for 10 October and 14 November (JMK.13, 50-57).

  Before examining the lectures, let us briefly see how the 1932 lectures have been dealt with so far. Clarke (1988; 1998, 93 and 95) sees the inception of the General Theory arriving at the end of 1932. In Clarke (1988; 1998, 96-97), however, reference goes up to the third lecture of 1932, while Clarke (1988; 1998, Chapter 4) pays no attention to Model 1 in the seventh lecture. Skidelsky (1992, 459-466) deals with the lectures as showing «the embryo of the General Theory» or «the main building blocks of a theory of output». Although he does not refer to Model 2, and Model 1 cannot be taken as a theory of effective demand, Skidelsky’s evaluation is close to ours.

  On the other hand, Milgate (1983, 195), who does not mention Model 1, regards the 1932 lectures as orthodox marginalist thought. Patinkin (Patinkin and Leith (eds) 1978, 14) and Dimand (1988) maintain that the 1932 lectures are within the Treatise framework. Dimand (1988, 153-5), without distinguishing Model 1 from Model 2, judges that «windfall profits or losses, investment minus saving, are at the centre of the analysis of the Michaelmas 1932 lectures ..., just as in the Treatise».

 

Bearing MTP and PME in mind, let us examine the lectures.

  In the first lecture Keynes argues that in the monetary theory of production the real-world economy is treated in terms of the monetary economy, whereas economic theory up to this point had analyzed only a «neutral money» economy. He puts forward an employment theory, albeit not very clearly. He argues that, in the monetary economy, «the short-period supply price of labour is nearer horizontal» (JMK.29, 51), and proceeds to consider the case in which the short-period disturbance occurs due to «a change in demand as a whole relatively to supply as a whole due to deficient disbursement» (JMK.29, 53). These ideas might be said to be the origins of Chapter 2 of the General Theory. Keynes aims at analyzing the situation in which deficient disbursement induces entrepreneurs’ losses and a decrease in employment. Thus he endeavors to formulate the chain of causation which deficient disbursement induces in the monetary economy, and to part with the neutral economy theories.

  In the second and third lectures Keynes develops an argument to the effect that total income is equal to aggregate disbursement, presenting an equation:

 

        Total Income = E + Q = Aggregate Disbursement

          where E is earnings and Q windfall profits.

 

  Incomes of individuals continue to change until total income equals aggregate disbursement, and entrepreneurs continue to revise the scale of their production unless Q is zero. Thus equilibrium is attained where Q becomes equal to zero. Keynes then analyses the causal sequence induced by insufficient disbursement.

  The idea that changes in output depend on changes in the difference between disbursement and earnings is similar to the TM supply function in MTP19, suggesting that the lectures at this stage were influenced by it.

  From the equation showing that aggregate disbursement is composed of the amount of investment, I, and the expenditure on consumables, F, and the above equation, the following is derived:

 

                                Q = I - S   

                        where S (= E - F) is voluntary saving.

 

  This is followed by some extremely interesting discussion regarding voluntary saving which concludes that

 

whatever spending the public and entrepreneurs adopt, the amount of surplus remains always the same and equals the amount of investment. What will be changed will be the price of consumables. If we hold I as given, what S determines is the price level [of consumables]. Or increased saving permits [the] same investment at a lower price level [of consumables].

 (Rymes [Tarshis] 1988, I-13 [This means Mr X’s – here Tarshis’s – notes transcribed by Rymes.])

 

  Given the value of investment, the price level of consumables is determined by the amount of voluntary saving. This argument is used in the equation P1= G (I, H), and possibly opened the way to the «time preference» in the seventh lecture. Although some ambiguities exist in relation to investment, saving, and profit, Keynes seems to be thinking of both the short and the long periods.20

  The fourth lecture deals with the theory of liquidity preference, the fifth lecture with the theory of investment. It should be noted that Keynes discusses both topics in the context of MTP theory.

  Keynes develops his own theory as follows. «The rate of interest measures the return in terms of money which can be returned in exchange for parting with the control of that money for a stated time for a debt....[The rate of interest is] the rate of exchange between money and debts» (Rymes [Tarshis], 1988, I-15). He argues that the rate of interest is no more than an expression of liquidity preference. Furthermore, the «rate of interest is fixed with the policies of the bank and the preferences of the people for keeping control of their money» (Rymes [Bryce] 1988, A-28). Given M as the amount of money, A the state of liquidity preference and ρ the rate of interest, then the following holds good:

 

ρ = A (M)

 

  This equation generally has a negative slope.21 He touches on both the concept later called the «liquidity trap»22 and the possibility of a flight from the currency.

  At this point Keynes completed the shift from the theory of bearishness to that of liquidity preference. A fragment from the lecture draft for the sixth lecture states:

 

The rate of earnings will fall, and output will fall.... Consequently the demand for money in the active circulation will fall, which in turn will affect the state of liquidity preference so that there will be a lowering...of the rate of interest corresponding to the given quantity of money.

 (JMK.29, 56)

 

  In the fifth lecture Keynes first argues that the value of capital assets is the present value obtained by discounting the stream of expected quasi-rents at the current rate of interest. He takes the price of capital goods in stock to regulate the price of new capital goods, which is the standpoint Keynes had adopted since the Treatise. He then argues that investment takes place if the price of an asset exceeds its current cost of production, so that «the volume of investment is determined by [the streams of] prospective quasi-rents, ... [the] rate of interest and [the] cost of production» (Rymes [Bryce] 1988, A-32). This idea is not to be found in the Treatise.

  In the sixth and seventh lectures Keynes proposes the «astronomical structure» and the «mechanical structure» models.

    The astronomical structure has two versions, depending on an assumption concerning the supply function. The first version is the same as Model 1, while the second is based upon the idea that a supply function should be expressed as a function of profits, and is the same as Model 2 except for an «earnings reaction» function.

  However, we find the second version unsatisfactory: firstly, it follows from the fact that (voluntary) saving is supposed to be in equilibrium with investment in the equation P1= G (I, H) that Q1 and Q2 are zero; secondly, it is not clear how I΄,  P1 and R are determined in this model; and thirdly, it is not clear what roles the supply functions play.

  Keynes first proposes Model 1, and then Model 2, apparently preferring the latter to the former.

  Finally, he refers to the «mechanical structure», which is expressed as follows:

 

ΔQ =ΔI - ΔS = ΔD - ΔE

 

  When disbursement, D, increases faster than earnings, E, first profits increase, and then output. That is, whether output increases or not depends upon whether investment increases faster than saving. In this structure something like the TM supply function plays a central role, so that the amount of investment does not necessarily equal the amount of saving.

  We should also note that in the lecture draft for 14 November, Keynes discusses the trade cycle and underemployment equilibrium within the MTP framework.

  What emerges here is that Keynes is wavering between the world of the Treatise, to which Model 2 (at least superficially) and the «mechanical structure» belong, and that of the General Theory, to which Model 1 belongs.

  However, Keynes’s state of mind is one thing, his true state of development another. First, the supply function in Model 2 is not the TM supply function any longer. Second, Model 1 includes new ideas contributing towards the General Theory, and should therefore be taken more seriously. If we see that Model 2 fails to fulfill its intended role, we can then say that his economic theorizing goes through transition at this point, which is why we regard both PME and the 1932 lectures as the turning point.

  In his final lecture, Keynes considers the views of earlier economists which might support his theory. This naturally leads to Chapter 23 of the General Theory.23

  He also outlines an embryonic argument which leads to Chapters 19 and 21 of the General Theory, as Tarshis’s note shows.

 

labour is essentially the standard of value — the level of wages determines prices --- explanat[ion] of prices was to be found in effective demand — raising incomes raising prices, etc.

 (Rymes [Tarshis] 1988, I-28)

 

  The term «effective demand» makes its first appearance, and is argued in relation to Malthus, who also makes his first appearance in Cairncross’ note (Rymes 1988, D22) as well as Bryce’s (Rymes 1988, A51).24

  Keynes concludes the lectures with a statement of the argument, along the lines of the «mechanical structure», to the effect that the normal tendency is for saving to far exceed investment, so that loss of profits and unemployment ensue.

 

  As we have seen, in the light of the above points we find Keynes wavering between the world of the Treatise and that of the General Theory. Here the two ideas the idea of the TM supply function maintained since the Treatise, and the idea which leads to the General Theory are developed in a confusing way. We can safely say that he first wrote MTP, then delivered his lectures on the basis of it, and finally wrote PME at the later stages. Keynes sticks to the TM supply function to the last, notwithstanding the inconsistency of Model 2. We would stress, however, that what matters most is the appearance of Model 1.

 

 

5. Kahn’s Contribution

 

Given the results of the above examination we cannot help wondering why Keynes set out to change the way of constructing his economic model at this particular time. What was it in particular that drove him to do so, and who was behind it?

  Hard as it may be to answer this question exactly, the contribution made by the Cambridge Circus merits some consideration.25

Immediately after the publication of the Treatise, several economists, including Kahn, Sraffa, Meade, and Austin and Joan Robinsons, formed a group – the «Cambridge Circus» (January - May 1931) – to study it. The members attended Keynes’s lecture of 2 May 1932 and responded with a «Manifesto»26, to which Keynes replied.

  The controversy between the two can be summed up as follows. Keynes put forward the credit cycle theory by way of the TM supply function, while the Circus put forward the multiplier theory, including the method of supply and demand, based on Kahn (1931), criticizing the TM supply function.

The Circus position is very clear in Joan Robinson’s letter to Keynes in May 1932 (JMK.29, 47). It was based on two considerations: (i) the elasticities of supply in capital and consumption goods industries; and (ii) the influence of an increase in investment on the demand for consumption goods.

The point of contention is unmistakably the supply function.

  By the end of 1932, however, he was to accept the Circus criticisms. He abandoned the TM supply function and adopted «the method of Supply and Demand», following the lines laid down by Kahn and Robinson. This transformation can be clearly seen in PME and the 1932 Michaelmas lectures, which is why we believe that at this point it is worth turning our attention to Kahn (1972[1931], 1-27]), a central figure in the Circus. Although the article dates from 1930, we discuss it here because Keynes did not incorporate the idea into his own theory until 1933.

 

  Kahn looked back on those days in 1971:

 

...I circulated a very early version to the members of the Committee of Economists ... in September 1930. This version was revised and considerably expanded as a result of discussions with Colin Clark..., and with James Meade and others in Cambridge, where I read it to Keynes's Political Economy Club in the autumn of 1930.

(Kahn 1972, vii)

 

  As for Kahn’s influences, we would suggest two points in particular.

  The first is that the standard supply-demand analysis is developed.27 The following idea which Keynes adopted when he accepted the first postulate in  mid-193328, should be read with the Cambridge Circus29 criticisms of the Treatise theory in mind:

 

The price-level and output of home-produced consumption-goods, just like the price and output of any single commodity, are determined by the conditions of supply and demand. If the conditions of supply can be regarded as fixed, both the price-level and the output are determined by the demand; and there is a unique correlation between price-level and output....The volume of employment engaged in producing consumption-goods and the price-level of home-produced consumption-goods are uniquely correlated.

 (Kahn, 1972, 5-6)

 

  The second point is that the multiplier theory is developed as a concrete formula.30 The original idea of the multiplier goes back to Lloyd George’s pledge of April 1924. The concept was subsequently developed through a series of studies within the Liberal Party, Keynes playing a central role.31

    In «Can Lloyd George Do It? » (Keynes and Henderson, May 1929; JMK.9, 86-125), it is argued that the promotion of a national development policy can increase the number employed, not only directly but also indirectly, and that this brings about a cumulative effect on production activity, the expenses involved being much lower than might be expected. In their argument they criticize the «Treasury View»32:

  Kahn (1931) gives substance to this idea by fleshing out how much employment will be brought about by an increase in employment in the investment goods sector, given constant money wages, profit, and prices. In the memorandum dated 21 September 1930 (JMK.13, 178-200), with the help of the multiplier theory Keynes advocates government home investment schemes:

 

Mr Kahn has produced an argument, which seems to me convincing, for supposing that in present conditions in Great Britain a given amount of primary employment gives rise to an approximately equal amount of secondary employment.

 (JMK.13, 188)

 

  Again, he uses the multiplier theory as an indicator assessing the excess of saving over investment within the Treatise framework;

 

we may assess the existing excess of saving over investment at £187,500,000 per annum. This follows from taking our abnormal unemployment at 1,500,000 and the output corresponding to the employment of a man for a year at £250.

 (JMK.13, 188. The multiplier is 2)

 

  In the Draft Report dated 6 October 1930 (JMK.20, 437-443), Keynes explained the multiplier theory as follows:

 

Apart from the primary employment..., there is...a further source of secondary employment, ... For the newly employed men and others whose receipts are increased as a result of the new investment may spend these receipts...on increasing their own consumption, with the effect of increasing employment in industries producing consumption goods; and those engaged in these consumption industries will also have more to spend; and so the ripple of increased demand will spread over the whole pool of employment.

 (JMK.20, 439)

 

  It was not until 1933, however, that Keynes placed the multiplier theory at the center of his theoretical system. This is shown by the following facts:

 

  (1) In the seventh of the 1933 Michaelmas lectures he argues for the multiplier theory;

  (2) In the table of contents dated December 1933 he entitles Chapter 16 as «Multiplier».33

 

  To sum up, the method of supply and demand and the multiplier theory advocated in Kahn’s paper was eventually to be adopted by Keynes. By the end of 1932 his adoption of the former is evident in PME and the 1932 Michaelmas lectures, although he still sticks to the TM supply function. As far as the multiplier theory is concerned, it was in 1933 that Keynes incorporated it into his theory.

 

  

6. Conclusion

 

Our considerations show that PME and the 1932 Michaelmas lectures occupy a crucial place in Keynes’s theoretical development. Model 1, above all, is decisive. Although he still clings to the TM supply function idea, PME nevertheless marks a turning point.

  Why did Keynes change his way of constructing his economic model at this particular time? Even before this, he had tried to build a model explaining how the volume of output is determined. Before PME, however, his model was constructed in such a way that only when the volume of output in the initial period was given could the volumes of output in the succeeding periods be determined a restriction that he must surely have been dissatisfied with. Around May 1932, Keynes’s views were criticized by the Cambridge Circus, the central figure of which was Kahn. This criticism was to prompt him to change his theory after a period of contrast with the Circus. The central problem for him lay in how to deal with the supply function. He subsequently abandoned the TM supply function, adopted the first postulate of the classical economics, and constructed Model 1.

  For these reasons we regard PME and the Michaelmas lectures of 1932 as a turning point. Despite their crucial importance, they have been largely ignored or misinterpreted. This may have to do with the failure to appreciate the role played by the TM supply function from the Treatise to the end of 1932.

 


 

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*E-mails:hirai-t@sophia.ac.jp. The paper originates in Hirai (1997-1999, Chapter 9). The earlier versions were read at: the International Workshop on the Cambridge School, Hitotsubashi University, Japan, in December 2002; History of Economics Society, the University of Leeds, UK, in September 2003; Prof. C. Marcuzzo’s workshop, the University of Rome «La Sapienza», Italy, in November 2003; and Prof. Richard Arena’s seminar, the University of Nice-Sophia, France, in March 2004. All of them greatly contributed to revision. The author also appreciates valuable comments by the anonymous referees.
[1] The present author’s understanding of Keynes’s achievement, with regard to the Treatise and the General Theory, differs from Leijonhufvud’s. In consequence, although the discussion here covers the same historical ground as Leijonhufvud (1981), it provides a different analysis of the Wicksell Connection. This is examined in Hirai (1997-9, Chapters 3 and 7). See also Chiodi (1991) and Laidler (1991).
2 Amadeo (1989;1994), which is in contrast with Dimand (1988, 39) and Meltzer (1988, 76-77), is very close to it.
3 On which, see Hirai (1997-9, Chapter 8).
4 On which, see Hirai (1997-9, Chapter 15).
5 This is our basic understanding of the General Theory, in contrast with the stance viewing the General Theory exclusively in terms of the second aspect.
6 For details, see Hirai (1997-9, Chapter 15 (2)).
7 This methodology is developed in Chapter 4 of the General Theory.
8 For a similar line of thought, see GT, 42 and 286.
9 See JMK.13, 403.
10 This leads to the argument in GT, 139-140.
11 For the first time he defined a supply schedule along these lines.
12 See Hirai (1997-1999, Chapter 10, Section 2).
13 This idea appeared for the first time in «Notes on the Definition of Saving» (JMK.13, 275-289. Esp. 276), enclosed in Keynes’s letter to Robertson of 22 March 1932.
14 Referring to the relation between income and consumption in connection with the stability condition for P1, Keynes does not explicitly delineate the relations between saving, consumption and income.
15 A similar description appears at GT, 250.
16 See GT, 115-116, 122 and 286. See also Keynes (1937), JMK.13, 457-468 (5 June 1934) and JMK.14, 58. The same idea is found in Kahn (1931), Bryce (1935).
17 See JMK.29, 62-66, and Hirai (1997-9, Chapter 10).
18 Rymes, 1988, A-1 - A-52, D-2 - D-22, and I-1 - I-28. We also have Rymes’s reconstruction (Rymes 1989, 47-84).
19 See JMK.13, 381 and Hirai (1997-9, Chapter 8, Section 2).
20 This might relate to MTP. See JMK.13, 382-387.
21 The diagram appears in Bryce’s notes (Rymes 1988, A-29).
22 «Suppose we have [the] case where everybody wants to hold» (Rymes [Bryce] 1988, A-29). See also JMK.13, 422, and 424.
23 «Historical Retrospect» (JMK.13, 406-408) precedes this. Malthus, Hobson, and Douglas are yet to be mentioned.
24 Keynes’s reference to «effective demand» and «Malthus» is brief. Kates (1998, 140) regards the last lecture as decisive, stressing Keynes’s reading of Malthus’s letters.
25 Our view of the role played by Kahn is in the same direction as Marcuzzo (2002), although she states that, accepting Kahn’s theory by the summer of 1932, Keynes developed an aggregate supply-aggregate demand analysis, and regards the lectures at the Harris Foundations and MTP as belonging to the General Theory world. On the other hand, Patinkin (1993, 651) underestimates the importance of Kahn (1931).
26 The «Manifesto» (JMK.29, 42-45) and some related letters (JMK.13, 376-380 and JMK.29, 46-47) are worth noting. See Hirai (1997-9, Chapter 8, Section 3). The relation of «Mr Meade’s relation» to Kahn’s multiplier is clarified by Meade (1993). Robinson (1933, 24) criticizes Keynes’s position in the Treatise. See also Moggridge’s comments (JMK.13, 340). Bridel (1987, 155-156) regards Robinson (1933) itself as confined within the Treatise theory.
27 This point is stated by Kahn both in his letter to Patinkin dated 11 October 1978 and on p. 11 of the typescript of Kahn (1984, the fourth lecture), for which see Patinkin (1993, 659). Keynes (1939) refers to the same thing. Kahn (1984, 99-100) argues that because his 1931 article is not free from the Treatise, it fails to put sufficient stress on the supply-demand theory as a whole.
  Bridel (1987) does not refer to ‘the standard supply-demand analysis’, although he points out, as the crux of Kahn’s paper, the disposition of the «Treasury View», and a precise formulation of the multiplier (1987, 153). Bridel, however, is rather critical of Kahn (1931), saying that it belongs to the Treatise world.
28 See JMK.29, 72, 101-102 and Hirai (1997-9, Chapter 10, Section 2). Harrod (1936, 71) regards the adoption of the marginal analysis in the General Theory as a remarkable improvement.
29 For a theoretical cleavage between Kahn and J. Robinson on the one hand and Sraffa on the other, see Marcuzzo (2003).
30 Davis (1980) states that Hawtrey formulates the multiplier theory in his working paper for the Macmillan Committee, which he omitted from his subsequent publications. See also Clarke (1988, 242). It was Robertson (1940, 117-121) who vehemently opposed the multiplier theory, defending the theory of forced saving. See Presley (1979, 169-176). Concerning Hawtrey’s influence on Kahn and Keynes in this regard, there exist divergent views. See Davis (1980), Cain (1982), Deutscher (1990, 102-105), Komine (1994), Dimand (1997), and Ohara (1999).
31 Keynes’s activities began immediately after Lloyd George's pledge. See «Does Employment Need a Drastic Remedy?» (May 1924; JMK.19, Part I, 219-223), the Liberal Party (1928), and «A Draft Report» (October 1930; JMK.20, 437-443). However, he did not mention the multiplier theory in his Harris Foundation lectures (June 1931. JMK.13, 343-367), which were within the Treatise framework.
32 The Treasury View is based upon Hawtrey (1925). On this basis the Treasury officials produced a memorandum which became the Cabinet paper CP53(29). This was a rejoinder to the Liberal Party (1928) and became the basis of the White Paper in May 1929. See Peden (1984), and Clarke (1988, Chapter 3).
33 See JMK. 13, 422.