2017年5月26日金曜日

Keynes and Monetary Economics* — Illuminated through Wicksell’s Influences, Keynesian Revolution, and the Microfoundations Toshiaki Hirai (Sophia Univ.)






Keynes and Monetary Economics*

Illuminated through Wicksell’s Influences,
 Keynesian Revolution, and the Microfoundations

Toshiaki Hirai (Sophia Univ.)


I. Introduction

To date, many historians of economic theory have put their minds to the questions of: (i) how monetary economics developed in the inter-war period; (ii) how Keynes developed his theory as monetary economics; and (iii) how the theoretical relation between Wicksell and Keynes should be understood.
It is these questions that we, too, wish to address in this paper, which runs as follows.
Firstly, having outlined Wicksell’s view of the state of economics, we will examine his theory of cumulative process in Interest and Prices (Wicksell, 1898. Hereafter IP) (Section II).  Secondly we will take the economics of Myrdal and Hayek as the representatives under Wicksell’s influences. We will see how they took a critical stance on the neoclassical orthodoxy, and look into the type of monetary economics they constructed (Section III). In going so far as to elucidate three scholars’ models, we mean to put them on a fair footing in relation to Keynes.
Thirdly we will clarify the main theory developed in A Treatise on Money (Keynes, 1930; hereafter the Treatise), refer to his theoretical change thereafter, and point out the essentials developed in The General Theory of Employment, Interest and Money (Keynes, 1936; hereafter the General Theory) (Section IV).
Fourthly we will address Negishi’s theory of microfoundations of Keynesian macroeconomics, which was put forward in the 1970s when the so-called ‘Disequilibrium Approach’ was in vogue. This will be examined in Section VI, after referring to the Keynesian Revolution and the Neoclassical Synthesis in Section V.
It should be emphasized that the scholars (apart from Wicksell1) who are to be taken up here have in common the fact that they endeavored to construct their own brand of monetary economics: Myrdal and Hayek under Wicksell’s influences; Keynes, first under the influence of, and subsequently independently of, Wicksell; and Negishi under the influences of the Disequilibrium Approach. They are critical of neoclassical orthodoxy which takes the classical dichotomy and Say’s Law for granted.
It should also be noted that monetary economics as referred to here is defined as a type of economics which, by constructing a consistent model, analyzes how money influences output and employment. If a model does not meet this criterion, it is not regarded as monetary economics.
  

II. Wicksell

1. His View of the State of Economics
Wicksell is, on the one hand, a neoclassical economist who argues that a successful economic theory should comprise a theory of relative prices and one of absolute prices, the two being separable. On the other hand, he departs from neoclassical economics, arguing that the quantity theory of money as a theory of absolute prices has serious flaws.2
  With respect to theory of relative prices, Wicksell in Value, Capital and Rent (Wicksell, 1893; hereafter VCR) regards Walras’ general equilibrium theory (hereafter GET) as accurately describing the system of exchange and distribution.3
  Wicksell was one of the first to recognize Walras’ GET. For example, he considers the case of an (indirect) exchange of three goods and n persons, and explains how relative prices are determined, using Walras’s Law and a numéraire. 4 By the time he reached the theory of production, however, he found Walras’ concept of capital unsatisfactory. 5
Wicksell develops an alternative theory of production.6 He first describes, by means of Böhm-Bawerk’s capital theory, how the economy would work if it produced one commodity. He then proceeds to explore how the economy would work if it were composed of two economies, each of which would work in the same way as the economy in the above-mentioned one-commodity case, and attempts to construct a mathematical model such that the number of equations is equal to that of unknowns.
As for theory of absolute prices, in IP Wicksell criticizes the quantity theory on three points.

(i) It assumes constancy in the velocity of money.
(ii) It assumes that the medium of exchange consists of notes and coins only, so that the quantity of money is inelastic if the quantity of currency remains constant.
(iii) It argues that an increase in the quantity of money induces an increase in prices and a fall in the money rate of interest.7

He then puts forward the theory of cumulative process as an alternative to the quantity theory.8

2. The Theory of Cumulative Process
Wicksell’s theory of cumulative process9 explains changes in prices in terms of the relation between the natural rate and the money rate of interest. The quantity of money is assumed to adjust to changes in prices and trade.10
The natural rate of interest is defined as ‘the rate of interest which would be determined by supply and demand if no use were made of money and all lending were effected in the form of real capital goods’ (IP, p.102). It is considered to fluctuate incessantly due to technical progress, and comes within theory of relative prices.
  Wicksell supposes that the banking system can not collect information on changes in the natural rate so quickly as firms can. He also assumes that it can lend out money at a certain rate of interest whatever the demand for money might be. Thus a divergence between the natural rate and the money rate of interest can persist over a certain period.
  Suppose that in an ‘organized credit economy’ in which ‘all domestic payments are effected by means of the Giro system and bookkeeping transfers’ (IP, p.70)11 the market rate of interest is kept lower than the natural rate for a certain period of time. Expecting profits, the entrepreneurs will borrow money as a ‘wage-rent’ fund12 from the banking system, and advance it to laborers and landlords. They, in turn, purchase consumption goods from the capitalist dealers by spending their (advanced) income. The capitalist dealers will earn interest by depositing the sale proceeds in the banking system. The entrepreneurs engaged in current production will sell their output to the capitalist dealers, and repay borrowed money with the interest to the banking system. As a result, the entrepreneurs will earn excess profits equal to [the natural rate - the market rate] × wage-rent fund.13
  If the entrepreneurs are able to go on making excess profits, their desire to expand production will grow, and the demand for labor, raw materials and durable investment goods will increase (no actual expansion will, however, occur, for the structure of roundabout production is assumed to remain constant and full employment is assumed14). This will lead to rises in money wages and rent. The entrepreneurs need to borrow more money from the banking system. This will be advanced to laborers and landlords, and the same process as the above will proceed.
  Once the entrepreneurs come round to doing their business taking rising prices into account, prices will rise at an accelerated pace due to the ‘law of continuity and inertia’ (IP, p.135). Eventually this process will come to an end as the market rate catches up with the natural rate of interest, with the price stability at a new equilibrium.
  At the root of the theory of cumulative process there lies the determination of the price level of consumption goods by aggregate supply and demand. Aggregate supply is assumed to remain constant while aggregate demand depends on the entrepreneurs’ willingness to expand production.15


III. Wicksell’s Influences Myrdal and Hayek

We define Wicksell’s Influences16 as the economics of the inter-war period that saw the endeavor on the part of the economists to construct each his/her own monetary economics, under the influence of Wicksell’s theory of cumulative process. They include the economics of Mises, Hayek, Myrdal, Lindahl, Ohlin, Keynes and so forth.17 The limited space here forces us to examine only two (Keynes will be seen later).

1. Myrdal
A. His View of the State of Economics
Myrdal noted in Monetary Equilibrium (1939. Hereafter ME) the then growing dissatisfaction over the lack of internal integration between price theory and monetary theory in the neoclassical orthodoxy.18 How did such a sharp line come to be drawn between the two? As he saw it, acceptance of the marginal utility theory resulted in money coming to be regarded as merely representing the power of purchasing goods and services.
  He argues that closer integration of the quantity theory with the central price theory is logically impossible, for they are based on different principles.19

The quantity theory, he argues, has serious defects.20

(i) During a dynamic process the velocity of money varies; the quantity theory cannot deal with this.
(ii) The relation between the quantity of money and the price level cannot be one-way.
(iii) The price level cannot be defined in the form of providing the multiplicative factor required by the central price theory.
(iv) The quantity theory ignores change within the price level.
(v) The price level in that context is a curious concept including the prices of pecuniary rights.
(vi) The quantity theory betrays the practical possibility by adopting the total sales as a weighting principle of the price index.

  Myrdal goes on to criticize the central price theory.21

(i) In failing to obtain the multiplicative factors, it remains abstract and unreal.
(ii) As it has prices only relating to a single point in time, it cannot deal with time contracts. Thus the credit problem is relegated to the quantity theory, which in turn proves unfit for the task.
(iii) Because it embodies Say’s Law, it cannot analyze business cycles.

  Myrdal concludes that neoclassical orthodoxy characterized by the separation of monetary theory from the price theory cannot deal with the credit problem; hence his new theory.

B. The Theory of Cumulative Process
a. Monetary Equilibrium
Myrdal constructs his monetary economics through careful examination of Wicksell’s three conditions for ‘monetary equilibrium’: (i) equality between the market rate and the natural rate of interest; (ii) equality between investment and saving; and (iii) price level stability.
  Wicksell only assumed the three conditions to be equivalent, namely to be different expressions of the same phenomenon, while Myrdal’s conclusion runs as follows.

(1) What matters to monetary equilibrium is condition (ii).
(2) Condition (i) does not hold good, although the argument based on condition (i) contains an investment function required in the theory of cumulative process.
(3) Condition (iii) does not hold good.

  Myrdal formulates monetary equilibrium as:

           R2 = W = S + D            (1)
where R2 is the production cost of gross investment, W free capital disposal, S savings proper, and D total anticipated value-change of the existing real capital. All are ex-ante concepts.

  R2, which is the discounted present value of investment cots anticipated at the initial point of time, is the money demand for new investment.
  Savings proper (hereafter savings) are defined as the part of income not used for consumption.22
             
               S = Y - C          (2)
where Y is income, C consumption, and S saving.

  Income, which is synonymous with “net returns”, is an ex-ante concept defined as:

Y = B - (M + D)      (3)
where B is the discounted present value of all gross returns, M the discounted present value of all gross costs.

Myrdal’s monetary equilibrium has two particular features: a position departure from which produces a cumulative movement, and a position at which certain specific price relations are fixed.

b. Cumulative Process
Now suppose that the economy starts off in monetary equilibrium.
 The investment function works as the driving force. The entrepreneurs as a whole determine the amount of investment based on the profit margin.

R2 = F (Q)          (4)
where F(.) is the investment function, and Q the profit margin.

  Q is given by:

              Q = Σ w (c1′ - r1′)   (5)23

where c1′ and r1′ are, respectively, the value and the reproduction cost of the existing real capital, and w the investment-reaction coefficient of each firm’s investment function.

  Myrdal assumes that the value of capital fluctuates violently while the reproduction cost does not because it includes various kinds of inflexible prices such as wages.
 
Let us now turn to consumption goods. Here we find two kinds of argument.
The first has to do with determination of the price level of consumption goods.

             Y - S = P1.O          (6)

  The left-hand side is the demand for consumption goods. The volume of production is determined ex-post by the roundabout production structure.
  Equations (2) - (6) complete the system.24 This holds good in each period.
The entrepreneurs determine the amount of gross investment based on the profit margin (equation (4)). The amount of gross investment is realized in accordance with ‘freie Valuta’ (IP, p.109), and the amount thus realized is injected into the stage of intermediate goods production. It should be noted that gross investment and free capital disposal are not equal, for they are determined by different economic agents. They are ex-post equal.
In equation (6), the demand for consumption goods ascertained through equation (2) determines the price level together with the volume of production ascertained through the roundabout production mechanism.
 
The second argument centers on the idea that a rise (fall) in the price level of consumption goods induces, through its effect on expectations, a rise (fall) in the value of the existing real capital, C1, in the next period:

               ΔC1 = Φ (ΔP1)    (8)

  This influences the profit margin through equation (5). Myrdal’s model is thus completed as a dynamic system.

  Based on the above system, Myrdal explains the cumulative process in three cases in which a change occurs in: (i) anticipations; (ii) the money rate of interest; (iii) savings. What is explained is the situation in which divergence between investment and free capital disposal is cumulatively expanding, due to the change.

2. Hayek
A. His View of the State of Economics
Hayek in Prices and Production (Hayek, 1931) classifies the development of monetary theory in four stages, emphasizing the need to attain the fourth stage. Hayek criticizes the quantity theory as the first stage from a point of view of methodological individualism, arguing that aggregate concepts can have no influence on the decision-making of individuals, and that even when the quantity theory discusses the influences of prices upon production, it does so only in terms of the general price level and total production.
  Hayek is also dissatisfied with the neoclassical system per se, remarking that monetary theory is, by virtue of the quantity theory, detached from general economic theory25 as a theory of relative prices.

B. The Theory of Business Cycle
Hayek advocates monetary economics that can analyze the process in which a change in the quantity of money influences, through a change in relative prices, the structure of roundabout production.
  He builds his theory of business cycle on Wicksell’s theory of cumulative process, correcting its defects along the line taken by Mises (1912).26
  In his theory the theory of relative prices and roundabout production, to be shown below,   plays an important role.

   People spend their money income on consumer goods or various kinds of producer goods, and the relative prices of these goods will accordingly change. Thus there will occur a change in the price margin between successive stages of production. Producer goods, consisting of non-specific and specific goods, will then be shifted so as to be used in the higher (lower) stages of production, and the structure of roundabout production will become longer (shorter), which will increase (decrease) the volume of output of consumer goods.27
                                
  Hayek’s theory of business cycle combines the above with the monetary phenomenon. He explains it, distinguishing the cases of ‘voluntary saving’ and ‘forced saving’. The demarcation lies in whether the quantity and velocity of money remain constant and do not influence the real economy. The former case describes the normal state of the economy which the monetary authority should aim at, while the latter shows a departure from it and prolonged disequilibrium.

Let us see what will happen in the case of forced saving.
Hayek addresses the following question: when additional money is injected into the economy which is in a state of equilibrium, how will normal prices be disturbed and how will the structure of production be affected?
He distinguishes two cases according to the new money (credit) being provided to (i) producers, who desire to obtain producer goods; or (ii) consumers, who want to buy consumer goods.

  In case (i) investment (the demand for producer goods) is equal to the sum of voluntary saving and new credit, while in case (ii) investment is equal to voluntary saving. In either case, the amount of money increases and results in the money rate falling below the natural rate of interest. Let us begin with case (i), because case (ii) will appear after case (i) has been gone through.

  The would-be entrepreneurs provided with credit can now purchase producer goods,  but only if they offer prices higher than those offered by the existing entrepreneurs. Due to the fall in the money rate of interest, together with a rise in the prices of the original means of production, and a rise in the prices of non-specific producer goods, the existing entrepreneurs will find it reasonable to reduce expenditure on the original means of production and non-specific producer goods, and to increase expenditure on intermediate products (capital).
  Thus the new entrepreneurs, by obtaining the necessary original means of production and non-specific producer goods, can generate a new roundabout stage of production, and the structure of roundabout production will thereby grow longer.
  The volume of output at the stage of production from which the original means of production and non-specific producer goods were withdrawn will decrease, and consequently, when it eventually matures as consumer goods, the volume of output of consumer goods will decrease. This is ‘forced saving’ in Hayek’s sense.
Due to the decrease in the production of consumer goods and the invariable consumption expenditure, the prices of consumer goods will rise. At this point, Hayek argues, the consumers would be inclined to restore their real consumption to the former level, if possible, by spending more money. The money income of laborers working in the producer goods sector will increase, because more money will go to the entrepreneurs in this sector. The laborers can spend their extra money income on consumption. The volume of consumer goods, however, will increase more slowly. As a result, the prices of consumer goods will rise even higher.
  The lengthening of the roundabout production structure must eventually increase the output of consumer goods. In the case of forced saving, however, no increase is assumed to occur. The output of consumer goods will temporarily decrease due to the lengthening of the roundabout production structure, while expenditure on consumption will continue to increase. Thus the prices of consumer goods go on rising. Such is the cumulative process as argued by Hayek.
  As a result of the public’s increasing their expenditure on consumption with the hope of bringing back real consumption to the former level, there will eventually occur a reversal of the ratio of consumer goods demand over producer goods demand, and the prices of consumer goods will rise relatively to those of producer goods.29
  At this stage we come to case (ii), for the reversal of the ratio is analogous to case (ii). The economy will move in the opposite direction from that described above in case (i).

We have now examined two representatives of Wicksell’s Influences; we have seen how critical they were of the quantity theory of money and the classical dichotomy, and how seriously they endeavored to construct their own brand of monetary economics.


IV. Keynes from the Treatise to the General Theory

What about Keynes, then? This is the point we come to in this section. We will clarify the stance and theory of the Treatise which can be counted among Wicksell’s Influences, examine his developmental process thereafter, and explain the features of the General Theory.

1. The Treatise30
A. His View of the State of Economics
On bank rate theories, investment and saving and the quantity theory of money, the following views are expressed.

Bank Rate Theories – Keynes identifies four bank rate theories so far developed, regarding the bank rate as:

(i)  the means of regulating the quantity of bank money;
(ii)  the means of protecting a country’s gold reserves (Keynes evaluates and uses it in his open system);
(iii)  having a psychological influence on price levels;
(iv)  influencing investment and savings (Keynes regards this as the essence of the bank rate. He sees Wicksell (1898) as representing this idea and coming close to his ‘fundamental equations’31:

  Although the bank rate plays a pivotal role in Keynes’s theory, money supply has a part to play as well. This may have something to do with Wicksell’s construction of his theory in an organized credit economy, and Keynes’s criticism that Wicksell does not succeed in ‘linking up his theory of bank rate to the quantity equation’ (TM.1, p.167).
  Keynes explains his ‘general theory of bank rate’ as an extension of (iv) as follows.

(a)  Suppose that the market rate, say, rises above the natural rate of interest; this will cause the demand price of investment goods to fall, resulting in a decrease in investment. A rise in the market rate of interest will, at the same time, cause savings to increase, though not by an equal amount. Thus investment will decrease more than savings increase.
(b)  A fall in the price level of investment goods will cause production to decrease (which means a decrease in the value of investment). In addition, since an increase in savings means a decrease in consumption, the price level of consumption goods will decrease. Thus the price level as a whole will fall.
(c)  When producers incur losses, they will cut the level of employment at the existing rate of earnings. If this situation continues, unemployment will increase until the rate of earnings is reduced.32

  Keynes argues (a) with ‘the second fundamental equation’ in mind. The first point in (b) is based on the TM supply function (to be explained later) in the investment goods sector, the second on ‘the first fundamental equation’.

Investment and Saving – Keynes stresses that investment is not usually equal to savings, offering two reasons.

 (i) Those who determine the division of the total output are not the same as those who determine that of the total income.
(ii) Earnings and savings do not include entrepreneurs’ profits (or losses), while the value of investment does.

The Quantity Theory – Keynes’s criticism of it runs as follows.

(i)  It deals with various kinds of ambiguous price levels.
(ii)  It fails to distinguish between income, business, and savings deposits.
(iii)  It cannot analyze a dynamic process in which changes occur in the price level due to a divergence between investment and saving.

  Underlying his criticism is an important conviction to the effect that unless the influence of the bank rate upon investment and saving and the distinction between earnings and profits are introduced into analysis, the dynamic process of price formation cannot be captured. He asserts the advantage of the ‘fundamental equations’ and gives priority to the bank rate over the quantity of money.33
                
B. The Theory
The most significant feature of the Treatise theory may well be seen in the coexistence of a Wicksellian theory and ‘Keynes’s own theory’ (to be explained below).

Wicksellian Theory – The Treatise belongs to Wicksell’s Influences, as we can tell from the following features.

  (1) Explanation of the fluctuations of the price level in terms of the relation between the money rate and the natural rate of interest, and explanation of the working of the economy based on it.
(2) Stress on a bank rate policy as stabilizing the price level.
(3) Acceptance of an equivalence between Wicksell’s three conditions for monetary equilibrium.

  It should be noted, however, that the main reason why Keynes himself regards his theory as belonging to Wicksell’s Influences is his adoption of the idea that the bank rate influences investment and saving. In the Treatise this is used to provide a mechanism in which economic stability (stability of the price level and the volume of output) can be attained by means of a bank rate policy.

Keynes’s Own Theory – At the same time, Keynes develops his own theory. This consists of two parts, one of which addresses the determination of variables relating to consumption goods and investment goods in ‘each period’.

(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 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. The profit is determined as a result.

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

  (Mechanism 3) The behavior of entrepreneurs is such that, if they make a profit (loss) in the current period, they will expand (contract) output in the next.

  We will refer to this behavioral function as the ‘TM supply function’.
  Now, ‘Keynes’s own theory’ can be expressed as the dynamic process consisting of Mechanisms 1 and 2 working through Mechanism 3.

2. After the Treatise
We regard the Treatise as propounding a monetary economics critical of neoclassical orthodoxy. How did he develop his theory after the Treatise and come to arrive at the General Theory?34
After the Treatise Keynes went on applying Keynes’s own theory, disregarding Wicksellian theory. It is crucially important to address the question of how Keynes dealt with the relation between profits and the volume of output. In the Treatise, the importance of this relation (the ‘TM supply function’) is stressed as expressing the dynamic mechanism. Keynes adhered to this function after the Treatise, in spite of much criticism. ‘The Monetary Theory of Production’ manuscript, written in mid-193235, epitomizes this stance.
Toward the end of 1932, however, he eventually abandoned the TM supply function, albeit hesitatingly, and put forward a new formula of a system of commodity markets in ‘The Parameters of a Monetary Economy’ manuscript, written at the end of 1932.36 This was a turning point toward the General Theory. 37
It was not until 1933 that Keynes came to put forward a model of how the volume of employment is determined. 38 Thereafter he took pains to elaborate his model, continuing to revise the concept of effective demand, the concept of marginal efficiency of capital, the theory of liquidity preference and various other points. Here, given the constraint of space, we must omit Keynes’s process of development thereafter which led up to the General Theory. 39

3. The General Theory40
Through a zig-zag process Keynes published the General Theory in February 1936.
  We can identify two central themes running through the General Theory: Contrasting Potentialities and Monetary Economics.

A. Contrasting Potentialities
Keynes sees the market economy as possessing two contrasting potentialities.

Stability, certainty and simplicity – Keynes argues that the market economy is equipped with several built-in stabilizers, so that it has an inherent tendency to converge to equilibrium. Based on this optimistic vision, he constructs a theoretical model in which the level of employment is determined where the aggregate demand function intersects the aggregate supply function.

Instability, uncertainty and complexity – At the same time Keynes repeats that the stability tendency inherent in the market economy cannot work unless some conditions are met. Failing them, it is doomed to fall into instability. Thus we are faced with a structure built on fragile foundations.

Keynes seems confident, all in all, that an economy stuck in underemployment equilibrium could be cured with a public works program and a low interest rate policy.

B. Monetary Economics
Keynes puts forward his theory of underemployment equilibrium as monetary economics,  as distinct from real economics. He argues that the monetary economy in which we live can be analyzed only within a framework of monetary economics. Keynes’s fundamental idea is expounded in Ch.21, I, where 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’ (GT, p. 293). The other is a division ‘between the theory of stationary equilibrium and the theory of shifting equilibrium’ (GT, p. 293).
 In both cases, the criterion of division hinges on money. When dealing with the determination of the level of output and employment as a whole in the real world, we must consider the role played by money. This is what Keynes means by monetary economics. No wonder Keynes allocates so much space to the rate of interest (Chs. 13, 14, 15, 17, 23 and 24).
  Arguably the General theory rejects Wicksell’s theory of cumulative process. Keynes also criticizes the notion that credit creation by the banking system makes investment possible without any corresponding saving, and the theory of forced saving (both were taken by Myrdal and Hayek), stressing the need to allow for interaction in the working of the economy, and equality of investment and saving.



V. Keynesian Revolution and the Neoclassical Synthesis

The General Theory exerted a profound influence on economic theory and policy (the Keynesian Revolution) in the post-war world. The ensuing revolution embodied four elements.
Firstly, in the controversy over employment policy in the 1940s Keynes and the Economic Section used a simplified Keynesian theory of a 45-degree type, and worked out various policy tools such as built-in-stabilizers.41 Secondly, Keynes’s theory developed in tandem with elaboration of the national income accounting to which he contributed with Stone and Meade.
Thirdly, Keynes’s theory developed in the form of the IS-LM model. This was formulated, immediately after the publication of the GT, by Hicks, Harrod, Meade and others, and acquired the status of orthodoxy. Fourthly, Keynes’s theory developed hand in hand with econometrics (though Keynes was very critical of it).
Under the impact of these elements, the age came in which almost all the economists were Keynesians ‘after a fashion’, and so opened the period when Keynesian economics swept the world in terms of economic theory and policy. The IS-LM model in tandem with econometric modeling has come to occupy a central position in macroeconomics and economic policy as well as in pedagogy, Klein and Goldberger (1955) being an emblematic work.
Another important economic theory – Walrasian GET – which had captivated mathematical economists in inter-war Europe and Japan, was further elaborated in terms of mathematics in the USA. Arrow and Debreu (1954) is the exemplary work in this field.42
Thus the paradigm, ‘Neoclassical Synthesis’, which was coined by Paul Samuelson, emerged in which Keynesian economics as macroeconomics and the GET as microeconomics ruled the roost. This suggests that the IS-LM model applies in the underemployment situation, but once full employment is attained (through implementing Keynesian monetary and fiscal policies) the economy could behave in accordance with Walrasian GTE. Thus almost all the economists were Walrasians as well.
It should be noted that the Neoclassical Synthesis showed a tendency to be ‘eclectic’, for Keynesian economics tended increasingly to be conceived and formulated in terms of Walrasian GET. This shows some contrast not only with Keynes himself but also with the Wicksell’s Influences, all of whom were critical of the neoclassical orthodoxy, and aimed at their own monetary economics, as we saw in Sections III and IV.
No wonder, then, if even the following questions arise at this point: is this what Keynes aimed at in the General Theory? Could such eclecticism prove viable? Could monetary economics co-habit with real economics?
It was under these problematic circumstances that Clower (1965) and Leijonhufvud (1968) advanced an alternative interpretation of the General Theory, criticizing the IS-LM paradigm. This group of economists (the ‘Disequilibrium Approach’. Hereafter the DA) shares the view that the General Theory analyses an economy in disequilibrium while Walrasian GTE takes an economy in equilibrium.43
  Clower put forward the ‘dual decision hypothesis’, reappraising the consumption function from the point of view of the behavior of a household under excess supply of labor. Patinkin (1964, Ch.13) analyzed the behavior of a firm whose sale proceeds were restrained by the aggregate demand. The two were integrated as a general disequilibrium theory by Barro and Grossman (1971).
  Almost all the disequilibrium approaches presuppose fixed prices and money wages. In this respect Negishi’s theory occupies a unique position, for he analyzed why they tend to be fixed.


VI. Negishi’s Theory of Microfoundations

Negishi’s theory aims at explaining why a ‘representative firm’ or a ‘representative household’ will make quantity adjustment while keeping price or money wage intact, given the macroeconomic situation. It might be said, in a sense, to be a precursor of the ‘New Keynesian’44 theories which explain the rigidities of prices, wages, and interest rates at the microeconomic level.
  This section runs as follows: (1) Negishi’s grasp of the relation between Marshallian microeconomics and Keynesian macroeconomics, and his understanding of Keynesian macroeconomics; (2) Negishi’s theory of microfoundations; (3) Comparison between his theory and the DA.

1.               Marshallian Microeconomics and Keynesian Macroeconomics
A. The Relation
Negishi argues that Wicksell’s system is composed of the theory of cumulative process and Walrasian GET, endorsing tâtonnement and the classical dichotomy.45 Negishi’s major concern here is to distinguish between those who support tâtonnement and the classical dichotomy and those who aim at non-tâtonnement and monetary economics. He places Wicksell and Walras in the former camp, assigning Marshall and Keynes in the latter.
Negishi argues that unlike Walras, Cassel, Wicksell, Pigou and Fisher, Marshall analyzes the real world, introducing money from the start and refusing the classical dichotomy. Because, he continues, the Principles (Marshall, 1890) presents a theory based on non-tâtonnement and includes, in substance, a kinked demand curve of a ‘representative’ firm, it could provide the microfoundations for Keynesian macroeconomics, the essence of which lies in quantity adjustment under the fixed-pricing system.46
He sees the relation between the two in terms, as it were, of division of labor. The level of employment and output is determined through effective demand by Keynesian macroeconomics, while, given the macroeconomic situation, the behavior of a ‘representative  firm’ or a ‘representative household’ is explained in terms of Marshallian microeconomics.

B. Keynesian Macroeconomics
Negishi stresses three points as characterizing Keynesian macroeconomics: (a) monetary economy; (b) stability of the real wage; (c) asymmetrical change in prices and wages with respect to excess demand.47
Points (b) and (c), he argues, come from empirical studies (point (b) is derived from the studies of Dunlop and Tarshis; point (c) from the Phillips curve), and are connected with Negishi’s rejection of ‘the first postulate of classical economics’. Whatever Keynesian macroeconomics might be, Negishi maintains, it should satisfy these points.
Negishi argues that Keynesian economics – both at the macro and micro level – should be a theory which explains the possibility of ‘Keynesian equilibrium’ accompanying involuntary unemployment.
He considers that Keynesian macroeconomics should be a theory which determines the total quantity of output in a state of disequilibrium, and uniquely determines the output of an individual industry, which means assuming a unique correspondence between a set of the volumes of output of individual industries and the aggregate volume of output. In addition, he deems, there exists a discrepancy between the volume of output of an individual industry and the volume of output of the individual firms within this industry.48
He further argues that because of a great discrepancy between Keynesian macroeconomics and Keynesian microeconomics, the former cannot be derived through an aggregation procedure from the latter.
Negishi might be seen, although he does not explicitly say so, to accept the IS-LM approach as determining the total level of employment and output in a state of disequilibrium under the fixed-pricing system.

2. The Theory of Microfoundations
A. The Theory
In the case of the goods market, according to Negishi, a representative firm has its inverse perceived demand function which has a kinked point (the fixed price, the output realized). Applying this concept, he explains why prices tend to be fixed in a perfectly competitive market with imperfect information in a state of disequilibrium. He maintains that the Keynesian microfoundations should be constructed on this basis. Although he extends this idea to the labor market, the problem of marketing costs, and so on, we will take here the case of the goods market.49
Suppose that an inverse perceived demand function of a representative firm is expressed as p = f (y, p*, y*), and the total cost function as g(y, w). The profit function is expressed as π= py – g (y, w).
Then the equilibrium condition is obtained, given the wage rate w, by maximizing the profit with regard to y, subject to y = y* (the realized condition of output). The inverse perceived demand function is assumed to pass the point (p*, y*).
(y is the volume of output, p the price, y* the volume of output at an initial point, and p* the price at an initial point.)
 The solution at the point (p*, y*) is

p* (1 e+) – g/y 0  …(1)
p*(1 e -) – g/y 0  … (2)
where e+, e - are an inverse of demand elasticity at the point (p*, y*), respectively, from the right-hand side and the left-hand.

Equation (1) is the right-hand side condition at the point (p*, y*), showing that the marginal revenue should be less than or equal to the marginal cost, while equation (2) is the left-hand side condition at the point (p*, y*), showing that the marginal revenue should be more than or equal to the marginal cost.
 If the two equations are in a state of inequality, p* (= p) remains independent of y* (=y), which means that even if the activity level of a representative firm changes, the price would remain unchanged.

B. Two Features
Negishi’s theory of microfoundations has two remarkable features worth considering.

(i) The rigidity of prices at the micro level explained in Negishi’s theory has the effect of reinforcing the rigidity of prices at the macro level. That is, if transactions in the economic system are made in a state of disequilibrium under the fixed-pricing system, the microeconomic behavior of a representative firm or household contributes to strengthening the rigidity of prices.
      Negishi’s theory presupposes price rigidity at the macro level, but why this occurs is not gone into, being left to Keynesian macroeconomics, whatever that might be.

 (ii) Negishi’s theory supposes a unique relation between macroeconomics and microeconomics. According to this theory, the volume of output of an individual industry (or a representative firm) is to be determined by means of Keynesian macroeconomics. However, the demand and the supply there should be naturally derived from some microeconomic situation. Otherwise the demand and the supply would not correctly reflect the behavior of individual decision-makers, with the result that any decision-maker would not be able to judge, on the basis of the quantity demanded and the quantity supplied, whether the market concerned was or was not in excess demand. It would be difficult, then, for a firm to perceive an inverse demand function.

3. Comparison with the DA
Negishi rates the DA highly. Whenever he refers to it, no critical comment seems to be forthcoming, in contrast with his comments, for example, on real economics.
We might compare Negishi’s theory with the DA on three points.
   
  (i) The DA insists that the revolutionary nature of Keynes’s economics lies in  having demonstrated the ‘partiality’ of Walrasian GTE, which is characterized by the absence of money, and the assumption of tâtonnement, and in having established a general disequilibrium theory, which includes Walrasian GTE as a special case.
(i') Negishi does not argue the relation between Keynesian economics and Walrasian GTE in terms of generality or partiality. Although he uses the absence of money and the assumption of tâtonnement as a criterion of judgment, what he earnestly maintains is a complete difference between the two in their approach towards economic analysis.

(ii) The DA argues that Keynes’s theory aims at analyzing the market economy in which quantity (or income) adjustment works under the fixed-pricing system.
(ii') Negishi shares this view.

(iii) The DA distinguishes Keynes’s economics from Keynesian economics (or the IS-LM model).
(iii') Negishi makes no distinction between Keynes’s economics and Keynesian economics. It may in fact be that he sees the IS-LM model as effective in analyzing the macroeconomic situation.


VII. Conclusion

In the course of this paper we have identified some representative monetary economics.
We started our investigation with the extent to which Wicksell’s theory of cumulative process influenced monetary economics of Myrdal, Hayek and Keynes (of the Treatise). We then went into Keynes’s theoretical process from the Treatise to the General Theory.50 Keynes put forward the monetary economics of underemployment equilibrium in the General Theory, departing from Wicksell’s influences, and succeeded in bringing about the Keynesian Revolution in post-world economics, although the essence of the revolution continues to be interpreted in divergent ways. Finally we examined how Negishi constructed a theory of microfoundations for Keynesian Economics. This was developed in the 1970s when the Neoclassical Synthesis was coming to end. Negishi maintained that Keynesian macroeconomics characterized as monetary economics, which is in sharp contrast with real economics as endorsing the classical dichotomy and Say’s Law, should be based on Marshallian microeconomics.
All of them strove to construct their own version of monetary economics, criticizing the neoclassical orthodoxy which endorses the quantity theory of money, Walrasian GET, the classical dichotomy, and Say’s Law. The theories they came up with show, of course, appreciable differences. We might say that it is precisely these differences that reveal the originality of each, reflecting the respective academic backgrounds and/or circumstances.



1) Wicksell’s economics should not beseen as monetary economics as defined below. However, he made a great contribution to its development.
  2) See Chiodi (1991, p.48-50). The difference between Wicksell and Mises is examined in Bellofiore (2000, p.549-54).
  3) For the difference between Wicksellian and Walrasian GET, see Rogers (1989, Ch. 2).
  4) See VCR, p. 82-92.
5) See VCR, p. 95.
6) See VCR, p. 153-61.   
  7) See IP, p.165-7.
8) See IP, p.135. For the debates between Wicksell, Davidson and Åkerman on Wicksell’s theory of cumulative process, see Siven (1998). Wicksell (1913) is a rejoinder to Davidson.
  9) Wicksell (1889, p.514 in Boianovsky and Trautwein, 2001) ascribes his theory of cumulative process to Ricardo (1810).
  10) Stressing the ‘supply of deposits’ rather than ‘real shocks and rate differentials’, Humphrey (1997) regards Wicksell as ‘a bona fide quantity theorist’. The reverse might be true, for the ‘supply of deposits’ is passively determined in Wicksell’s theory.
 11) Myrdal, Lindahl and Mises follow this.
  12) See IP, p.125-7.
 13) We follow Wicksell’s class division of society.
14) ‘The Great Depression’ in the fourth quarter of the 19th century saw a gradual fall in prices together with full employment. Wickesell’s theory reflects this. It was not until the early 1920s that he became concerned with change in output and employment. See Boianovsky (1998).
  15) With regard to the argument that incomes determine the price level of consumption goods, Wicksell refers to the first half of Tooke’s thirteenth proposition. See Wicksell (1898, p.44). This is accepted by Lindahl (1939, p.142), Myrdal (1939, p.22), and TM.1, p.122.
16) They cover the same area as Leijoinhufvud’s ‘Wickesell Connection’ (1981) with different implications.
17) Aoyama’s contemporaneous studies are worthy of notice. He maintains that a theory of dynamic general equilibrium can effectively represent a criticism of Say’s law, as can be seen in Robertson (1926). See Aoyama (1953) and Negishi and Ikeo (1999).
18) Myrdaul indicates Walras, Cassel, Pareto and Fisher. See ME, p.11.
19) See ME, p. 11-2. 
20) See ME, p. 14-5.
  21) See ME, p.16-7.
22) See ME, p.90. Y is not used in the original.
  23) See ME, p.79. In the original, cand r are written as c and r respectively.
24) Endogenous variables are Y, Q, R2, C and P1.
25) See Hayek (1931, p.3-4). Mises (1912, p.91-92) argues that the quantity theory fails to explain variations in the value of money in terms of subjective valuation.
26) See Hayek (1931, p.25-26). For relations between Wicksell, Hayek and Mises, see Bellofiore (1998).
  27) The volume of consumer goods is assumed to increase more slowly than consumption. See Hayek (1931, p.88). 
  29) In Mises and Hayek the money rate of interest is defined as the prices of consumer goods over those of producer goods.
30) See Hirai (2008, Ch.5, ‘The Treatise’).
31) See TM.1, p.198-9.
  32) See TM.1, p.171.  
33) See TM.1, p.196-7.
34) This is the main theme in Hirai (2008, Chs. 6-12).
35) JMK.13, p.381-96. See Hirai (2008, Ch.6, ‘After the Treatise’).
36) JMK.13, p.397-405.
37) See Hirai (2008, Ch.7, ‘The Turning Point’).
38) See Hirai (2008, Ch.8, ‘Searching for a New Theory of Employment’).
39) See Hirai (2008, Chs.9, ‘Establishment of the Investment and Consumption Theories’, 10, ‘The Eve of the General Theory’, 11, ‘The Proofing Process (I)’, and 12, ‘The Proofing Process (II)’).
40) See Hirai (2008, Ch.13, ‘The General Theory’).
41) See Hirai (2008, p.39).
42) There occurred a serious problem with the GET thereafter. For this, see Kirman (1989).
43) For a recent evaluation for DA, see, for example, Backhouse and Boianovsky (2005).
44) Ironically New Classical theories of business cycle represented by Lucas (1975), Kidland and Prescot (1982) are macroeconomics, although they stress their rigorous microfoundations.
45) See Negishi (1981, Chs. 10-12).
46) See Negishi (1989, Ch. 10).
47) See Negishi (1979, p.31-3).
48) See Negishi (1974b, p.11).
49) The following model comes from Negishi (1974a).
50) On the process from A Tract on Monetary Reform (Keynes, 1923) to the Treatise, see Hirai (2008, Ch.4, ‘From the Tract to the Treatise’).


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* I appreciates valuable comments by Profs. M. Bianovsky (Univ. of Brasilia) and Hans-Michael Trautwein (Univ. of Oldenburg) as well as A. Ikeo (Waseda Univ.), who greatly contributed to improvement. The remaining errors are mine.