§1.Preliminary Statement of Three Laws. The recognition of order in any branch of natural phenomena is but the prelude to the formulation of a set of laws, the simpler as the order is more universal, which describe, and as we say, explain it. Thus the perception of the even, elliptical courses of the heavenly bodies led to the statement of the law of gravitation and the laws of motion.
In economics, similar laws have long since been enunciated, and have proved themselves such valuable instruments for the understanding of the daily problems of the workaday world, that they have been woven into the texture of our ordinary speech and thought. I have already touched upon them in the preceding chapter. But it is now desirable to set them out in order, in the most concise and formal manner possible.
I. When, at the price ruling, demand exceeds supply, the price tends to rise. Conversely when supply exceeds demand the price tends to fall.
II. A rise in price tends, sooner or later, to decrease demand and to increase supply. Conversely a fall in price tends, sooner orlater, to increase demand and to decrease supply.
III. Price tends to the level at which demand is equal to supply.
These three laws are the cornerstone of economic theory. They are the framework into which all analysis of special, detailed problems must be fitted. Their scope is very wide. I have purposely refrained from introducing into my statement of them any reference to commodities; for they extend far beyond commodities. Subject to an important qualification, they apply to capital, the price paid for the use of capital being what we call the rate of interest. They apply hardly less to "services," to the remuneration of labor of every kind and grade. People sometimes protest warmly against the idea of treating labor "like a commodity." If this indignation expresses no more than a belief that in matters concerning conditions of work, and relations between employees and the management, the sensibilities of human nature should be taken into due account, it is based on elementary decency and commonsense. But if, as sometimes appears, it is directed against the fact that the remuneration of labor is controlled by the laws of supply and demand, it is a mere baying at the moon, with singularly little provocation. For these laws are in no way peculiar to commodities, and it is no one's fault that they include commodities too within their scope.
But let us go back to the laws themselves, and probe them and dissect them, and turn them this way and that, so that we may perceive their full content, andgrasp it firmly in our minds. The third law implies a prevailing tendency for demand to be equal to supply. This tendency, as was suggested in Chapter I, can be verified by anyone from his experience and observation (provided he is a reasonable person, and not the tiresome kind who would dispute the law of gravitation because he sees that a feather falls to the ground more slowly than a stone). But it can also be deduced as a corollary from the two preceding laws; and to regard it in this way will help us to appreciate its significance. Start, for instance, by supposing that demand is in excess of supply. Then the price will tend to rise. After the price has risen, the supply will become larger, while the demand will fall away. The excess of demand with which we started will thus clearly be diminished. But if there remains any portion of this excess, the same reactions will continue; the price will rise further, and for the same reason; demand will be further checked and supply further stimulated. In other words, these forces must persist until the entire excess of demand over supply is eliminated. If we start by supposing supply to exceed demand, the converse chain of sequences will operate. Now these very simple steps of reasoning illuminate the nature of the normal equilibrium of demand and supply. They reveal that the equilibrium is established and maintained by the agency ofchanges in price, and they enable us to lay it down as perhaps the most important thing that can be said about the price of anything that it will tend to be such as will equate demand and supply. But that is not all that they reveal. They reveal also the extreme dependence of both demand and supply upon price.Now this is a fact which it is most important to realize vividly. It is apt to be obscured by customary modes of speech. In ordinary times the prices of most commodities and services do not change by very much, unless indeed over a long period of years; the amounts demanded and supplied may therefore seem to maintain a fairly constant level; and we may be tempted to speak of Great Britain producing so many million tons of coal, or America consuming so many millions of motor-cars per annum, almost as though these quantities were independent of price considerations. But we should never forget that there is no service or commodity produced by man, however essential it may seem, the demand for or the supply of which might not be reduced to nothing, if the price were sufficiently raised on the one hand, or lowered on the other. How easy it is sometimes to forget this simple truth may be seen from the mistake so commonly made of supposing, because the peoples of Central Europe were left, on the cessation of the war, starving and destitute of the means of life and the materials of work, that they must necessarily become heavy purchasers of imported goods; without pausing to consider whether the prices were such as they could afford to pay.
§2.Diagrams and their Uses. It will help to prevent mistakes like this and more generally to make sharp and clear the fundamental relations which exist between demand, supply and price, if we exhibit them pictorially in the form of a diagram. Such diagrams are of great service in many parts of economic theory, not because they can prove anything which could not be provedotherwise, but because, being really a simpler medium of expression than words, they enable the mind to grasp more readily and to retain more vividly the essential facts of complex relations.
figure 1
figure 1
Figure 1
In Fig. 1 the curve DD' represents the conditions of demand. It is supposed to be drawn in such a way that if any point, Q, be taken on the curve, and the perpendicular QN be drawn to meet the base line, or axis OX, then ON will represent the amount that will be demanded at a price represented by QN (or Ol). In other words, distances measured along OY represent prices, and distances measured along OX represent quantities of the commodity, or service, or whatever it may be. Clearly, then, the demand curve, DD', must slope downwards from left to right, since the lower the price asked, the greater will be the amount demanded. Similarly the curve SS' represents the conditions ofsupply. It is supposed to be so drawn that if any pointqbe taken upon it, and the perpendicularqN be drawn to meet OX, then ON will represent the amount that will be supplied at a price represented byqN (or Ok). Equally clearly this supply curve must slope upwards from left to right, since the higher the price obtainable, the greater will be the quantity offered. Take the point P where the two curves meet, and draw the perpendicular PM to meet OX. Then the third law enunciated at the beginning of this chapter corresponds to the statement that PM or Omwill represent the price at which the commodity or service will be exchanged.
It can readily be seen that no other price could be maintained. For suppose the price to be less than Om, suppose it to be Ok, then, at this price, ON (orkq) will be the amount supplied, andkrthe amount demanded. The demand will thus exceed the supply, and the price will tend to rise, i.e. to move upwards towards Om. Similarly if we suppose the price to be Ol, which is larger than Om, the supply (lR) will exceed the demand (lQ) and the price will fall downwards towards Om. Thus, again, we have deduced Law III from Laws I and II with the form and precision of a proposition in Euclid. Now, when once the eye has become familiar with this diagram, it ought to be impossible for the mind to lose even momentarily its grip on the fact that demand and supply are both dependent upon price. For these curves do not represent any particular amounts; they represent a series ofrelationsbetween amount and price; if the price is QN the amount demanded is ON, and so forth. Theterms demand and supply in the sense, in which I have been using them, of the respective amounts demanded and supplied are, indeed, strictly meaningless without reference to some particular price. The reference may sometimes be implicit; but, whenever there is a chance of ambiguity, it should be explicitly made.
§3.Ambiguities of the Expressions, "Increase in Demand," etc.It is the more important to be precise upon this point, in that there is a further possible confusion which we have now to consider. Demand and supply, as we have seen, are dependent upon price; but equally clearly they are dependent upon other things as well. Demand depends upon the needs, tastes and habits of the people, as well as upon the length of their purse; supply depends upon such things as the cost of production in the case of commodities. None of these things are constant factors, all of them are liable to change, and it may well happen that we shall want to consider in some concrete problem the probable consequences of such a change. Now the most usual and natural way of describing such changes in the medium of words is to use the expression "increase" or "decrease in demand," and "increase" or "decrease in supply," the same expressions, which we employed before to describe the consequences of a change in price. This identity of language conceals a fundamental distinction between the phenomena described; and to make this distinction plain we cannot do better than revert to our diagrammatic presentation of the laws.
figure 2
figure 2
Figure 2
In Fig. 2 we start as before with our demand curve, and supply curve, cutting one another at the point P. We then suppose that some alteration takes place in the conditions of demand; there has been a growth in the general taste for the commodity or service, and the demand, as we say, has increased accordingly. How is this fact to be represented in the diagram? Plainly not by taking another point on the curve, DD', at a further distance from OY. For this would merely indicate the larger amount that would be taken, if the conditions of demand had remained unaltered but the sellers had reduced their prices. The correct way of representing the change we have supposed is to construct a new demand curve (in the figure, the dottedcurvedd'), lying at every point above the old demand curve. For this indicates that larger quantities will be purchased at the old prices, which is exactly what we want to represent. Similiarly if we wish to represent a change in the conditions of supply, such as might result, in the case of a commodity, from a tax imposed on its production, we must draw a new supply curve,ss', which in the case supposed, must lie everywhere above the old supply curve. On the other hand, the decrease or increase in demand or supply,resultingfrom a change in price, is represented simply by a shifting of the equilibrium from one point to another on the same curve. The striking pictorial contrast between a movement from one curve to another, and a movement along the same curve should help to make vivid to our minds the fundamental distinction between a change in theconditionsof demand, arising from new tastes, enhanced purchasing power, etc.; and a mere change in the amount purchased resulting from an alteration in the price which the sellers ask. Words, as this necessarily cumbrous sentence shows, are a clumsy instrument for the expression of abstract relations; it is not very easy to see which words in a sentence are the significant, commanding ones, and which are performing, as it were, ordinary routine duties. A diagram is not exposed to similar ambiguities of emphasis.
The particular distinction, to which attention has been called, is important. The reader who has grasped it clearly will be able to perceive many instances of the confusion arising out of its neglect in the ordinary discussions of economic questions which take placein the press and on the platform. It is not uncommon, for instance, for an argument to run something like this: "The effect of a tax on this commodity might seem at first sight to be an advance in price. But an advance in price will diminish the demand; and a reduced demand will send the price down again. It is not certain, therefore, after all, that the tax will really raise the price." A glance at the diagram will keep us out of such a bog of sophistry and muddle. For if we suppose the amount of the tax per unit of the commodity to be represented by Ss, the curvess'(drawn, as it is, roughly parallel to SS') will represent the new conditions of supply after the tax has been imposed. The new position of equilibrium will be given by the point P', wheress'cuts DD', the demand curve. Now P' lies to the left of P the old point of equilibrium; hence, since DD'mustslope downwards from left to right, it is clear that, if, as it is fair here to assume, theconditionsof demand have remained unaltered, the new price P'M', must be greater than the old.
§4.Reactions of Changes in Demand and Supply on Price.Having now made clear the meaning that must be attached to the terms, let us consider the question which naturally arises, whether we can lay down any general propositions or laws as to the effect upon price, of an increase or decrease in demand or supply. Another glance at the diagram suggests that we can. An increase in demand is represented in Fig. 2 by a movement from DD' todd', which cuts the supply curve, SS', atp, to the right of P. Since the supply curve (drawn, as it is best to draw it, to represent theamount which will be supplied in response to a given price) must always slope upwards from left to right, the new price,pm, must be greater than the old, PM. Conversely a decrease in demand is represented by a movement fromdd'to DD', and the new price is seen to be less than the old. We have already seen that a decrease in supply, which is represented by a movement from SS' toss'results in a higher price; and it is the obvious converse that an increase in supply will have the opposite effect. It would seem then that we might lay down quite generally that an increase in demand or a decrease in supply will raise the price while a decrease in demand or an increase in supply will lower it.
But here it is necessary to be cautious. All conclusions as to the effects of causes are necessarily based, implicitly, if not explicitly, upon the assumption "other things being equal." This method of reasoning, which some people appear to find so irritating in the economic sphere, and as they say so "theoretical" and "unreal," is one which they adopt readily enough in every other department of life. No one, for instance, objects to the statement that the sun, when it comes out, makes a room warmer, although it may very well happen, if a fire is dying at the same time, that the room grows colder in point of fact. For in our general statement we assume implicitly that "other things" such as fires, are unchanged. But assumptions of this kind are legitimate only when there is no reason to suppose that the cause, the effects of which are being studied, will itself produce a change in the "other things." If (as I have often been told; I really do notknow if it is true) the rays of the sun help to put a fire out, the statement made above would be the better for some qualification.
Now we can only say that an increase in demand raises price if we assume the conditions of supply (as represented by the supply curve) to remain unchanged. But in practice, an increase in demand may cause a change in theconditionsof supply. An increase, for instance, in the demand for a commodity may give rise to a revolution in the methods of production, to the introduction of labor-saving machinery and so forth, which will eventually result in the commodity being produced more cheaply. It will certainly take a considerable time before reactions of this kind can exert an appreciable influence; and we can, therefore, feel reasonably sure that over a short period an increase in demand will raise the price. But we cannot be sure what the ultimate effect will be. A similar alteration in the condition of demand is less likely to result from an increase or decrease in supply; but it may conceivably occur. We must, therefore, be careful to qualify any general propositions which we lay down in this connection, by explicit reference to a short period of time. We can add the following to our body of laws:—
IV. An increase in demand, or a decrease in supply will tend to raise the price for a short period at least. Conversely a decrease in demand, or an increase in supply will tend to lower the price for a short period at least.
This law, like the others, applies to commodities, services, capital, to anything which can be said, literally,or by analogy, to have a price. "A short period" is, however, a vague expression and, since precision is the hallmark of an important law, we must accord to this one a status inferior to that which the preceding three can rightly claim.
§5.Some paradoxical reactions of price changes on supply.Let us turn, though, once more to these earlier laws, and with a heightened critical sense let us submit them to the test of the whole gamut of our experience, and see if in any of them we can find the smallest flaw. The first of them will pass through the ordeal—let each reader prove it for himself—unscathed. The second will emerge with a few hairs, as it were, singed. It tells us, for instance, that a rise in price will tend to augment the supply. Now there are some things the supply of which cannot possibly be augmented; these are the capital resources of nature, of which land is the most important for our present purpose. Land is bought and sold, it commands a price. In a certain sense, it may be said to be possible to increase the supply of land, in response to a rise in price, by drainage and reclamation schemes; and it will certainly happen that a rise in the price which land can command for any particular purpose will increase the amount which is devoted to that purpose. But, speaking broadly, the supply of land available for purposes of every kind is a fixed unvarying factor, with an inertia which the cajolery of price-changes is powerless to disturb. This is a most important fact, and it gives rise to some peculiar features of the price and rent of land, which we shall have to consider lateras a separate problem. It constitutes a limiting case rather than an exception to the general law. But we have not yet done with the reactions of price upon supply. In the case of capital, the nature of those reactions has been much discussed as a highly controversial question. That a rise in the rate of interest will cause some people to save more than before, is generally admitted; but it is pointed out that the effect upon others may be the exact opposite, because it means that they do not need to save so much to acquire the same future annual income. It is unwise to say dogmatically that the former tendency outweighs the latter; though upon the whole it seems highly probable that it does. We cannot, therefore, in this case feel confident that a change in price will react upon supply in the manner which our law indicates. Similarly it is possible to argue that a rise in the general level of real wages may reduce the supply of labor, even, or some might say particularly, if the term is used to denote not the number of workpeople, but the quantity of work done. For there may be a tendency for workpeople, when more comfortably off, to work less regularly or less hard. Here again we cannot be sure. In none of these cases, however, including that of land, is there any reason to doubt that a rise in price will diminishdemand, or conversely that a fall will increase it. Since, therefore, in the reasoning by which we deduced the third law, the conclusion will hold good, even if the effects of price-changes on supply are of the above paradoxical kind, provided that they do not continually outweigh the effects upon demand, there is no reason to cast doubt on the solidity of Law III, which,indeed, as we suggested before, commends itself directly to experience. But Law II seems now, perhaps, somewhat the worse for wear.
The damage, however, is not considerable. For in each case the uncertainty arises only when we are dealing with one of the factors of production, land, labor or capital,regarded as a whole. If we are dealing with the capital available for a particular industry, a rise in the rate of profit in that industry will certainly increase the supply of capital available there; for it will tend to attract savings that might otherwise have been employed elsewhere. We can even be fairly sure that an increase in the general rate of interest prevailing in any particular country will increase the total supply of capital available for the businesses of that country, since capital has in modern times acquired a considerable migratory power. In the case of labor, we cannot go so far as this; but here, too, there is no doubt that an increase in the remuneration offered in any particular occupation will attract an increased labor supply (always supposing, of course, that "other things are equal"). No similar difficulty arises for land, labor or capital, as regards the effect of price-changes on demand; while for ordinary commodities there is no such difficulty on the side either of demand or of supply. Hence the only qualification which the strictest accuracy would require us in this connection to attach to our statement of Law II is the postscript:—
"Except that, in the case of land, the aggregate supply is unalterable; while in the case of capital or labor we cannot be sure how price-changes will affect the aggregate supply."
Much significance attaches to these exceptions, as later will appear.
§6.The Disturbances of Monetary Changes. But let us still keep a critical eye on Law II, and submit it to another flashlight from our practical experience. The recent world war made us all acutely aware of a remarkable rise in the price of almost everything, which yet did not seem to diminish appreciably the demand. The explanation of this paradox is not difficult to find. There was an immense increase in the volume of nominal purchasing power, due to a complex set of causes, of which "currency inflation" may be taken as the symbol. Now perhaps we are entitled to assume the absence of such currency changes as part of the "other things being equal" which is always understood as implied. But it is rash to take this particular assumption for granted, more especially in these days. Already people are too apt to speak as though the trade depression (which as these pages are written holds us in its grip) cannot pass away until pre-war prices are restored, ignoring altogether the great and probably permanent increase in nominal purchasing power which the war has left behind it. It would be safer, therefore, to add explicitly to Law II the reservation, "Assuming that there is no change in the general volume of purchasing power."
Monetary and allied questions will form the subject of the second volume of this series. It must not be supposed that our general laws have no bearing on them. On the contrary, Law I, which all this time has remained serene and undisturbed by the occasional discomfituresof Law II, is the gateway through which all questions of currency, banking and the foreign exchanges should be approached. It is well to note, as an inexorable corollary of Law I, that prices can riseonlyif demand exceeds supply, and fallonlyif supply exceeds demand; and hence that it is only through the agency of changes in the demand for and supply of commodities and services that an inflation or deflation of the currency can influence the price level. Further, since a condition of things in which supply generally exceeds demand spells what we know and fear as a trade depression, it may be well to note at once that falling prices and unemployment are inseparable bedfellows. For we are far too apt to shut our eyes to these unpleasant truths. But we cannot pursue them further here; and in the remainder of this volume we shall not be concerned (except, perhaps, incidentally) with questions affecting the general level of prices or of purchasing power; but rather with the relation which the price of one commodity bears to that of another, with the rate of interest (which being a rate per cent is not essentially dependent on the price level), with "real" wages (as distinct from money wages) and the like.
§7.The Trade Cycle. But our reference to trade depressions suggests a final comment on Law II. One small qualification was embodied in our original statement of it, namely the words "sooner or later." A rise in price may not check the demand immediately (even if the printing presses are standing idle in the Treasuries); it may actually stimulate it for a time. For people may fear that the price will rise further still, andhasten to buy what theymustbuy before very long. Sellers may share the same opinion, and be reluctant on their side to part. When prices are falling the roles are reversed, and we are likely to see the sellers tumbling over one another in a frantic eagerness to sell, the buyers wary and aloof. Sooner or later, indeed, these tendencies must dissolve and disappear; but they may persist for a longer period than might seem probable at first. For the raw material of one trade is, as we say, the finished product of another. The demand for one thing gives rise to a demand for other things, for the labor with which to make them, and so on in an expanding circle. A sympathy, subtle and intense, unites the business world, and a wave of depression or animation arising in any quarter may spread itself far and wide, heightened by the gusts of human hope and fear, and continue long before its influence is spent.
Here we are upon the threshold of one of the most striking and formidable of economic facts, the regular alternation of periods of good and bad trade, each very widespread, if not world-wide, in its range, each comprising certain regular phases of acceleration and decay, and each infallibly yielding sooner or later to the other. The details of these phenomena are highly complex, some of them obscure; an immense literature has already been devoted to the subject, yet its systematic study is hardly more than begun. The account given in the preceding paragraph is incomplete and meagre. It is inserted here in the hope that it will impress the reader with a sense both of the fact of these alternations and of the deeply rooted nature of the causes from which they spring. They take a heavy toll of human happinessand wealth; and there is no object that more urgently calls for concerted human effort than that of mitigating them, and of alleviating the misery which they bring in their train. Still better, of eradicating them if that is possible; but let none suppose that it can be lightly done. Meanwhile, let us always remember that they form the atmosphere and medium in which the enduring tendencies of the business world must work themselves out. It is often convenient to speak of "normal conditions" in this trade or that; but hardly ever can it be truly said of a particular moment that conditions are normal. The normal is rather a mean level about which oscillations to and fro, round and about, are constantly taking place, but which itself is reached only by accident, if at all. Whenever we say that some new factor should in the long run lower the price of this or that commodity or service, the picture which these words should convey to our mind is one of the price rising less on times of boom, and falling more in times of depression than is the case with other things. And if ever our faith in some honored economic law is shaken by the apparent ease with which, perhaps, in times of active trade, sellers are able to advance their prices to whatever figure (so it almost seems) they choose to name, let us rally our sense of economic rhythm, and reserve our judgment until the trade cycle has run its course.
§1.The Forces behind Supply and Demand. The laws enunciated in the preceding chapter constitute the framework and skeleton of all economic analysis; but they do not carry us very far. It is only through the agency of these laws that any influence can affect the price of anything: but what influences may so affect it is a question which we have still to consider.
Let us begin with ordinary commodities and ask ourselves, in the light of experience and common sense, upon what factors their price seems mainly to depend? Two factors spring to mind at once; their cost of production and their usefulness. As regards the former, the case seems clear enough. We may indeed sometimes grumble that the price of this or that commodity is unconscionably high in comparison with its cost; but this only goes to show that we conceive a relation between price and cost as the normal, governing rule. If one commodity cost only a half as much to produce as another, we should think that something had gone very wrong indeed, if the former commodity were sold for the higher price. But, when we turn to the usefulness of commodities, the case is not so clear. Usefulness has some connection with price, so much is certain; for an entirely useless thing, fit only for the dust-bin (andknown to be such, it may be well to add) will fetch no price at all, however costly it may be to produce. But it is not easy to express the connection in quantitative terms. It seems reasonable enough to say that the prices of commodities are roughly proportionate to their costs of production. But directly we contemplate saying a similar thing of their usefulness, we are pulled up short. As we look round the world, and enumerate the commodities which by common consent are the most useful, salt, water, bread, and so forth, the striking paradox presents itself that these are among the cheapest of all commodities; far cheaper than champagne, motor-cars or ball-dresses, which we could very well get on without. As things are, of course, a ball-dress, or a motor-car costs more to produce than a loaf of bread or a packet of salt; and the common-sense explanation of the paradox seems, therefore, to be that the cost of production is a more weighty influence than the usefulness, or utility, as we will henceforth call it (so as to include the satisfaction we derive from not strictly useful things). We are thus tempted to conclude that, provided a commodity possesses some utility, its price will be determined by the cost of production, the degree of utility being unimportant. This was exactly how the position was gummed up for many years in systematic treatises upon Political Economy; and it was not until fully half a century after theWealth of Nationsthat a discovery was made which threw a fresh light on the whole matter.
First of all, let it be clearly observed how very unsatisfactory is the above account. In Chapter II where we were treading surely, with a sense of solidground beneath us, we drew no such invidious distinction between supply and demand. They seemed then to possess an equal status. But cost of production is the chief factor which, in the case of commodities, ultimately determines the conditions of supply. Utility, similarly, is the chief factor which ultimately determines the conditions of demand. Must not then the symmetrical relations between demand and supply be reflected in a corresponding symmetry between the utility and the costs which underlie them? Demand springs obviously from utility; the only motive for buying anything is that it will serve some real or fancied use. Can we then accord to demand so dignified and to utility so subordinate a place? There is here an inconsistency which we must somehow reconcile. It will not serve as a solution to distinguish between different periods of time, and to say, as economists used to say not very long ago, that price is governed over a short period by demand and supply, but in the long run by the cost of production. This still leaves our sense of symmetry unsatisfied. Moreover, the conception of cost of production, when we consider it as ruling over a long period, frequently seems to lose any precision, as an independent factor, which it may otherwise possess. Motor-cars, we have agreed, are more costly to produce than loaves of bread; but, as we know well, the cost of producing motor-cars varies enormously, accordingly as they are produced on a small or a large scale. By the methods of mass production they can be turned out at a relatively low cost per car. But this requires that they should be purchased in large numbers and this in turn throws us back to the demand formotor-cars, and plainly enough, to people's judgment as to their utility. In some cases, the opposite phenomenon occurs. In the case of British coal, for instance, the average cost of production would be much lower than it is if the output were reduced to a fraction of its present volume, and if only the richer seams of the more fertile mines were worked. Once again, therefore it is difficult to measure the cost of production until we know the magnitude of the demand, which in a manner, which we have still to elucidate, clearly depends upon the utility.
If we take the problem of joint products, the conception of cost of production fails us still more conspicuously. For what is the cost of producing wool, or the cost of producing mutton? We can speak of the cost of rearing sheep: but it is hardly possible to allot this cost, except quite arbitrarily, between the two products. How, then, can we explain the separate prices of these things by reference to cost alone? Instances of joint production are becoming so common in the modern world, or at least, with the growing attention to the utilization of by-products, are assuming so much more heightened a significance, that an explanation of price, which does not apply to them, is a very feeble one indeed.
§2.The Law of Diminishing Utility. Let us turn back, then, to the factor of utility, and see if we cannot put on a more satisfactory basis the relation between utility and price. The clue to the puzzle is to be found in a brief reflection on the implications of the second general law propounded in Chapter II. A rise in price,it was there stated, will sooner or later diminish the demand. This was asserted as a matter of fact, observed from and confirmed by experience. But what does it signify? To what causes is this familiar fact to be attributed? The first stage of the answer is very ample. The many individuals, whose purchases make up the demand for the commodity, will buy smaller quantities now that the price is higher. Possibly some of them may cease to buy it altogether; but as a rule it would be reasonable to suppose that most people continue to buy a certain amount though a smaller amount than hitherto. Let us turn our attention, then, to the individual purchaser, and ask ourselves why he (or let us say she) acts in the manner indicated. The obvious answer is that the more she already has of anything, the less urgently does she require a little more of it. If she buys 6 pounds of sugar every week when the price is 7 cents a pound, but only 5 pounds when the price is 8 cents, she shows by her action that she does not consider that the additional utility she will derive from buying 6 pounds a week rather then 5 pounds is worth as much as 8 cents. But she shows at the same time that she thinks it worth 7 cents. For, when the price is 7 cents, no one compels her to buy that sixth pound. She could stop, if she chose, at five; and it may serve to make the point quite plain if we suppose her actually to hesitate before she buys the sixth. She has hitherto, let us say, been buying 5 pounds a week at 8 cents. To-day she enters the shop and finds the price is down to 7 cents. She asks for her customary 5 pounds; then she pauses, and a minute later turns her order into six. What are the alternatives which she has been weighing one against theother in that momentary pause? Not the utility of the whole 6 pounds of sugar against the total price of 42 cents. For she has already ordered the first 5 pounds; and the decision to buy the sixth is taken independently and subsequently. She has been sizing up theincrementof utility which a sixth pound would yield, and she decides that this is worth the expenditure of a further 7 cents. Again, when the price was 8 cents she need not have bought as many as 5 pounds. She could have stopped at 4 had she chosen, and the fact that she did buy 5 pounds shows that the increment of utility derived from buying a fifth pound, when she might be said already to have 4, was worth at least 8 cents in her judgment.
This trite illustration enables us to lay down two important laws relating to utility. To state them shortly, it is convenient to employ one or two technical terms, which, unlike every term employed hitherto, are not very commonly used in their present sense in everyday life. Their adoption is desirable not merely for the sake of convenience, but because they help to stamp clearly on the mind a most illuminating conception, that of the "margin," which supplies the clue to many complicated problems. The last pound of sugar which the housewife purchased, the fifth pound when the price was 8 cents, or the sixth pound when the price was 7 cents, we call the "marginal" pound of sugar. And the increment of utility which she derives from buying this marginal pound we call the "marginal utility" of sugar to her. We are thus able to state the fact that the more a person has of anything the less urgently does herequire a little more of it, in the following formal terms:—
V. The marginal utility of a commodity to anyone diminishes with every increase in the amount he has.
The total utility will, of course, increase with an increase in the amount, but at a diminishing rate. This law is usually called The Law of Diminishing Utility.
§3.Relation between Price and Marginal UtilityBut this is not all. We are now in a position to perceive the true relation between utility and price. The relation is one which exists not between price and total utility, but between price and marginal utility. If we know only that a housewife will buy weekly 5 pounds of sugar at 8 cents per pound, but 6 pounds at 7 cents, we know nothing of the total utility of sugar to her. We do not know how much she might be prepared to pay rather than go without 3 pounds, 2 pounds, or any sugar at all. But we do know that, when she buys 6 pounds, the marginal utility of sugar is in her judgment worth something which does not differ greatly from the price. We can, therefore, say in general terms that the price of a commodity measures approximately its marginal utility to the purchaser.
This statement is perfectly consistent with the paradox noted above that the most useful commodities such as bread, salt and water are very cheap. For when we say that these commodities are supremely useful, we mean only that their total utility is very great; that, rather than do without them altogether, we would offer for them a large proportion of our means.But we would not value very highly a small addition to the bread, water or salt that we habitually consume; nor would most of us feel it as a very serious deprivation if our consumption of these things were curtailed by a small percentage. In other words, theirmarginalutilities are small, and it is only themarginalutility that has any relation to price.
§4.The Marginal Purchaser. A possible objection to the preceding argument deserves to be considered. Some readers may find the picture I have drawn of the hesitating housewife entirely unconvincing. They may declare that her mind does not work at all in the manner I have indicated. She will have formed certain habits in regard to her weekly purchases of sugar, which are connected very vaguely, if at all, with any conscious processes of thought. She will buy so many pounds of sugar weekly without troubling her head over the specific utility of the last pound she buys. When the price falls she may, indeed, buy more; but it will not be because she separates out and considers by itself the extra utility of an additional pound. She may buy more, because she has formed the habit of spending so much money on sugar; and now that the price has fallen, the same amount of money will enable her to buy more pounds. Or, perhaps, she may be moved by instinctive and irresistible attraction to buy more of a thing when it is cheaper, similar to that which inspires so many people to face with ardor the horrors of a bargain sale. In any case the fine calculations I have imagined convey a fantastic picture of her state of mind. And how much more fantastic, the critic maycontinue, of the state of mind in which things of a different kind are bought by less careful people. When, for instance, one of us happy-go-lucky males (more liberally supplied, perhaps, than the housewife with the necessary cash), decides to buy a motor bicycle, or to replenish his stock of collars or ties, does the above analysis bear any resemblance to the actual facts? In the case of the motor bicycle, the purchaser may, indeed, weigh the price fairly carefully against the pleasure and benefit, though contrariwise he may be a rich enough gentleman hardly to bother about this. But, one motor bicycle is as much as he is at all likely to buy, and what becomes, then, of the distinction between total and marginal utility? In the case of the ties and collars, the vagueness of many of us about the price will be extreme. We probably have been uneasily conscious for some time of an inconvenient shortage of these troublesome articles and eventually will go off (or perhaps will be sent off with ignominy) to the nearest suitable shop to make good the deficiency. How can we speak here with a straight face of the relation between marginal utility and price?
These are very pertinent criticisms; but they do not make nearly as much nonsense of the notion of marginal utility as may seem at first. The last point, indeed, serves rather to give it a fresh aspect of much significance. Those of us who do not bother about the price we pay for our ties and collars owe a debt of gratitude, of which we are insufficiently conscious, to the more careful people who do; as well as to the custom which prevails in shops in Western countries (as distinct from the bazaars of the East) of charging as arule a uniform price to all customers. Ifwewere the only people who bought these things, an enterprising salesman would be able to charge us very much what he chose. He could put up his price, and we would hardly be aware of it. And, as by lowering his price he could not tempt us to buy any more, price reductions would be few and far between. But fortunately there are always some people who do know what the price is, even when they are buying collars and ties; and who will adjust the amount they buy in accordance with the price. It is these worthy people who make the laws of demand work out as we well know they do. It is they who will curtail their consumption if the price has fallen and it is they who constitute the seller's problem, and help to keep down prices for the rest of us. The rest of us—it is well to be quite blunt about it—simply do not count in this connection. We have no cause then to plume ourselves that we have disproved the truth of economic laws when we declare that we seldom weigh the utility of anything against its price. All that this shows is that our actions are too insignificant to be described by economic laws since they exert no appreciable influence on the price of anything. And this in turn shows the extreme importance of grasping clearly the conception of the margin. Just as it is the marginal purchase, so it is the marginal purchaser who matters. It is the man who, before he buys a motor bicycle, weighs the matter up very carefully indeed and only just decides to buy it, whose demand affects the price of motor bicycles. It is the utility whichhederives that constitutes the marginal utility, which is roughly measured by the price.
As to the housewife, I am not prepared to concede that my picture is in essentials very fanciful. She may be a creature of habits and instincts like the rest of us, but most habits and instincts affecting household expenditure are based ultimately onsomecalculation, if not one's own, and reason has a way of paying, as it were, periodic visits of inspection, and pulling our habits and instincts into line, if they have gone far astray. I am not satisfied that the housewife does not envisage the utility of a sixth pound of sugar as something distinct from the utility of the other five; she may buy it, for example, with the definite object of giving the children some sugar on their bread, and she may have a very clear idea as to the price which sugar must not exceed before she will do any such thing. Possibly I may exaggerate. I have the profound respect of the incorrigibly wasteful male for the care and skill she displays in laying out her money to the best advantage.
§5.The Business Man as Purchaser.But if the reader still finds the picture unconvincing, let us shift the scene from domestic economy to commerce, and substitute for the careful housewife an enterprising business man. Now, as anyone who has a business man for his father will have often heard him say, the vagueness and caprice which characterize our personal expenditure would be quite intolerable in business affairs. There you must weigh and measure with the utmost possible precision. You must be for ever watching the several channels of your expenditure, careful to see that in none does the stream rise higher than the level at whichfurther expenditure ceases to be profitable. You will not even engage typists or install a telephone in your office without weighing up fairly carefully the number of typists or the number of switches that it is worth your while to have. And in deciding whether to employ say, five typists, or six, you will not vaguely lump the services of the whole six typists together, and consider whether as a whole they are worth to you the wages you must give them. You will, in the most direct and literal manner, weigh up theadditionalbenefit you would derive from a sixth typist, and if that does not seem to you equivalent to her wage, you will not engage her, however essential it may be to you to have one or two typists in your office. If on the other hand, the utility of having a sixth typist seems to you worth much more than her pay, the chances are that you will be well advised to consider the employment of a seventh. And so, where you stop employing further typists, the utility to you of the last one, of the "marginal typist" as it were, is unlikely to differ greatly from her pay.
Now this is not a fancy picture of some remote abstraction called an "economic man." Allowing for the over-emphasis which is necessary to drive home the central point, it is a bald account of the aims and methods of the actual man of business. To ascertain the margin of profitable expenditure in each direction, to go thus and no further, is the very essence of the business spirit, as the business man himself conceives it. When he condemns the extravagance of Government departments, it is their lack of just this marginal sense that he chiefly has in mind. "The lore of nicelycalculated less or more" may be rejected by High Heaven and Whitehall, but no one can afford to despise it in the business world.
The transition from household to business expenditure involves an extended use of the word utility, which is worth noting. Commodities like bread, sugar, or privately owned motor-cars are sometimes called "consumers' goods" in contrast to "producers' goods," which comprise things such as raw materials, machinery, the services of typists and so forth, which are bought by business men for business purposes. The line of division between the two classes is not a sharp one, and we need not trouble with fine-spun questions as to whether a particular commodity should in certain circumstances be included under the one head or the other. But, broadly speaking, things of the former type yield a direct utility; they contribute directly to the satisfaction of our pleasures or our wants. Things of the latter type yield rather an indirect utility. Their utility to the business man who buys them lies in the assistance they give him in making something else from which he will derive a profit. The utility of these things is therefore said to bederivedfrom that of the consumers' goods or services to which they ultimately contribute. This conception of derived utility leads to certain complications which we shall have to notice later.
§6.The Diminishing Utility of Money. But one important point must be emphasized in this chapter. The utility which a business man derives from the things which he buys for business purposes is the extrareceipts which he obtains thereby. Derived utility, in other words, is expressed in terms of money, and the idea of its relation to price presents no difficulty. But the utility of things which are bought for personal consumption means thesatisfactionwhich they yield, and this is clearly not a thing which is commensurable with money. When, therefore, it is said that the prices measure their respective marginal utilities, what exactly is meant? What was it that the argument of §3 went to show? That the utility of the marginal pound of sugar would seem to the housewife just worth the price that she must pay for it; in other words, that it would be roughly equal to the utility she could obtain by spending the money in other ways. The respective marginal utilities whichsheobtains from the different things she buys will thus be proportionate to their prices. But if she were to receive a legacy which gave her a much larger income to spend, she might buy larger quantities of practically every commodity; and, though she would obtain a greater total utility thereby, the marginal utility she would obtain in each direction would be smaller, in accordance with the law of diminishing utility. The prices might not have changed; the respective marginal utilities to her of the different things would again be proportionate to their prices, but they would constitute a smaller satisfaction than before.
Thus we can only say that the prices of commodities will be proportionate to their real marginal utilities, when we are considering the different purchases of one and the same individual. The amounts of money which different people are prepared to pay for differentconsumers' goods are no reliable indication of the real utilities, the amounts of human satisfaction which they yield. Here we must take account not only of varying needs and capacities for enjoyment, but of the very unequal manner in which purchasing power is distributed among the people. The cigars which a rich man may buy will yield him an immeasurably smaller satisfaction than that which a poor family could obtain by spending the same amount of money on boots, or clothes or milk. When, therefore, we compare commodities which are bought by essentially different consuming publics, their respective prices may bear no close relation to theirrealutility, whether marginal or otherwise. Thus the law of diminishing utility applies to money or purchasing power, as well as to particular commodities. The more money a man has the less is the marginal utility which it yields him; and, where the marginal utility of money to a man is small, so also will be the real marginal utility he derives in each direction of his expenditure. The extreme inequality of the distribution of wealth gives immense importance to this consideration. Its practical implications will be discussed in Chapter V. Meanwhile, we may express the conclusions of the present chapter by the statement that the price of a commodity tends to equal its marginal utility,as measured in terms of money, i.e. relatively to the marginal utility of money to its purchaser.