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January 26, 1950 ECONOMIC WEEKLY The Theory Of Black Market Prices A. K. Das Gupta T HE ESSENTIAL function of the price mechanism is the smooth clearance of the available supply in a market. An economic good is a good whose supply is scarce in relation to demand,— Scarcity' implying simply that the entire want of the society is not satisfied by the available sup- ply. In view of the scarcity of supply, buyers press against one another, and those who fail to offer the ruling price in the mar- ket go unsatisfied. Price thus measures the strength of excluded demand,—being determined by the degree of scarcity of supply relatively to the market demand. In a free price system, excess de- mand or excess supply are ruled out. Excess demand is a signal for a price rise, and excess supply is a signal for a price fall. Com- petition among buyers and sellers brings it about that a price is set- tled in the market at which de- mand is equated to the supply. The available supply is taken off the market by those buyers who are relatively stronger and are prepared to offer the ruling price; those who cannot afford to pay the ruling price go unsatisfied. The strength of the buyers as ex- pressed in the market depends not merely upon the degree of willingness to have a good, but also upon the capacity to pay for it. The price at which demand is equated to the supply is called by economists the normal price. In a free market, demand and supply forces can be relied on to secure the establishment of a normal price and to ensure the smooth disposal of a commodity. Each has the right to bid his own price for the commodity that he wants, and if the price offered satisfies the seller, the deal is finished with- out more ado. On the other hand, however intense the need that he may feel for a commodity, it re- mains unsatisfied unless it is back- ed by the power -to pay a price which will satisfy the seller. The free price system is thus a deli- cate mechanism through which are avoided all kinds of manoeuvr- ings that would otherwise appear in society as a result of the pres- sure of demand upon scarce supply. Yet there is just one limitation of the free price system, however satisfactory it might be in respect of the smooth delivery of goods. The system caters to the wants of stronger members of the society at the expense of its weaker mem- bers. And since this strength ex- presses itself, partly at any rate, in terms of the capacity to pay, the distribution of a good, as it takes place through the market mechanism, turns out to be in accordance with the relative 'income' of the citizens rather than in accordance with their relative needs. And in a society which is characterised by large inequali- ties of income, this limitation proves a serious limitation. This is the sanction for price control. If the normal price is found too high for the poorer section of the community and if it is felt that they should also be allowed to have a share of the available supply of a commodity, the State comes forward and fixes a legal maximum for the market price. A price below 'normal' is fixed and sellers are coerced into accepting what is deemed to be the maximum allowable, consist- ently with the demand coming from the relatively poor.* A price fixed below normal does bring the controlled good within the reach of the hitherto unsatisfied buyers, although in doing so, it deprives the stronger buyers of a share that would, in the absence of control, belong to them. If the control is judiciously and effec- tively administered, it may under * The opposite case,—that of fixing a minimum price,—is not relevant to our present problem and is therefore ruled out. certain circumstances lead to a mare desirable distribution of the available supply. There is, however, one aspect of the matter which must not be lost sight of. The limitation of the free price system that we have mentioned-arises out of large in- equalities of income. It is be- cause of this inequality that the normal price fails to satisfy the general need of the society to the extent deemed desirable. Now, if this problem of inequality can be tackled directly, through taxes and subsidies, or through other measures of general income con- trol, the case for price control surely disappears. If the income ratio between different groups in the society is brought down to the level that is considered desir- able, the free price system surely comes into its own. In principle, indeed, this is a surer way of achieving the objective that we have in view. Whereas an over- all income control relieves the State of the necessity of looking into individual markets, the prin- ciple of price control, since it re- lates to individual markets, re- quires a wider and a more ex- tended supervision, its nature de- pending upon the character of the market and the number of com- modities to be controlled. What happens if the price of a commodity is fixed by the State at a level below what it would be under the free play of the forces of demand and supply? A state of 'excess demand' is created; sellers offer to sell a quantity which falls short of that which the buy- ers are willing to buy at the given price. The market thus expe- riences 'shortage' which is to be distinguished from 'scarcity' pros- per. For, whereas 'scarcity' de- notes merely that some demand is excluded because the buyers can- not afford to pay the ruling price, 'shortage' indicates that even those buyers who are willing to pay a price acceptable to the 97

The Theory Of Black Market Prices · The Theory Of Black Market Prices A. K. Das Gupta 'HE ESSENTIAL function of the price mechanism is the smooth clearance of the available supply

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January 26, 1950 E C O N O M I C W E E K L Y

The Theory Of Black Market Prices A. K. Das Gupta

TH E E S S E N T I A L func t ion o f the pr ice mechanism is the

smooth clearance of the available supply in a marke t . An economic good is a good whose supply is scarce in re la t ion to demand,— Scarc i ty ' i m p l y i n g s imply that the ent i re want of the society is not satisfied by the available sup­p ly . In v i e w of the scarcity of supply, buyers press against one another, and those who fa i l to offer the r u l i n g price in the mar­ket go unsatisfied. Pr ice thus measures the s t rength of excluded demand,—being de termined by the degree of scarcity of supply re la t ive ly to the marke t demand. In a free price system, excess de­mand or excess supply are r u l e d out. Excess demand is a signal for a pr ice rise, and excess supply is a signal for a pr ice f a l l . C o m ­pet i t ion among buyers and sellers brings it about that a pr ice is set­t led in the marke t at w h i c h de­mand is equated to the supply. The available supply is taken off the marke t by those buyers who are r e l a t ive ly stronger and are prepared to offer the r u l i n g price; those who cannot afford to pay the r u l i n g pr ice go unsatisfied. The s t rength of the buyers as ex­pressed in the marke t depends not mere ly upon the degree of wil l ingness to have a good, bu t also upon the capacity to pay for i t .

The price at wh ich demand is equated to the supply is cal led by economists the no rma l pr ice . In a free market , demand and supply forces can be re l ied on to secure the establishment of a n o r m a l price and to ensure the smooth disposal of a commodi ty . Each has the r i g h t to b i d his o w n price for the commodi ty that he wants, and if the pr ice offered satisfies the seller, the deal is f inished w i t h ­out more ado. On the other hand, however intense the need that he may feel for a commodi ty , i t re­mains unsatisfied unless i t is back­ed by the powe r -to pay a pr ice w h i c h w i l l satisfy the seller. The

free price system is thus a de l i ­cate mechanism t h r o u g h which are avoided a l l k inds of manoeuvr-ings that w o u l d otherwise appear in society as a resu l t of the pres­sure of demand upon scarce supply.

Ye t there is jus t one l i m i t a t i o n of the free pr ice system, however satisfactory i t m i g h t be in respect of the smooth de l ive ry of goods. The system caters to the wants of stronger members of the society at the expense of its weaker mem­bers. A n d since this s t rength ex­presses itself, p a r t l y at any rate, in terms of the capacity to pay, the d i s t r i bu t ion of a good, as it takes place t h r o u g h the marke t mechanism, tu rns out to be in accordance w i t h the re la t ive ' income' of the citizens ra ther than in accordance w i t h the i r re la t ive needs. A n d in a society w h i c h is characterised by large inequa l i ­ties of income, this l i m i t a t i o n proves a serious l i m i t a t i o n .

This is the sanction for price cont ro l . I f the n o r m a l pr ice is found too h igh for the poorer section of the c o m m u n i t y and i f it is felt that they should also be a l lowed to have a share of the available supply of a commodi ty , the State comes f o r w a r d and fixes a legal m a x i m u m for the m a r k e t price. A pr ice be low ' no rma l ' is fixed and sellers are coerced in to accepting what is deemed to be the m a x i m u m al lowable , consist­en t ly w i t h the demand coming f rom the re la t ive ly poor.* A pr ice f ixed below n o r m a l does b r i n g the cont ro l led good w i t h i n the reach of the h i the r to unsatisfied buyers, a l though in do ing so, i t deprives the stronger buyers of a share tha t w o u l d , in the absence of cont ro l , belong to them. I f the con t ro l is j ud ic ious ly and effec­t i v e l y adminis tered, i t may under

* The opposite case,—that of f ixing a m i n i m u m price,—is not re levant to ou r present p rob lem and is therefore r u l e d out.

cer ta in circumstances lead to a mare desirable d i s t r ibu t ion of the available supply.

There is, however , one aspect of the mat ter wh ich must not be lost sight of. The l i m i t a t i o n of the free pr ice system that we have mentioned-arises out of large i n ­equali t ies of income. It is be­cause of this inequal i ty that the no rma l pr ice fails to satisfy the general need of the society to the extent deemed desirable. N o w , i f this p rob l em of inequa l i ty can be tackled d i rec t ly , t h rough taxes and subsidies, or t h rough other measures of general income con­t r o l , the case for pr ice control surely disappears. I f the income ra t io between different groups in the society is b rought down to the leve l that is considered desir­able, the free pr ice system surely comes in to its own . In p r inc ip le , indeed, this is a surer way of achieving the objective that we have in v i ew. Whereas an over­a l l income cont ro l relieves the State of the necessity of looking into i n d i v i d u a l markets , the p r i n ­ciple of pr ice cont ro l , since i t re­lates to i n d i v i d u a l markets , re­quires a w i d e r and a more ex­tended supervision, its na ture de­pending upon the character of the m a r k e t and the number of com­modit ies to be control led .

W h a t happens if the pr ice of a commodi ty is fixed by the State at a leve l be low what i t w o u l d be under the free play of the forces of demand and supply? A state of 'excess demand' is created; sellers offer to sell a q u a n t i t y w h i c h falls shor t of that w h i c h the buy­ers are w i l l i n g to b u y at the given price. The marke t thus expe­riences 'shortage' w h i c h is to be dist inguished f r o m 'scarci ty ' pros­per. For , whereas 'scarcity ' de­notes mere ly tha t some demand is excluded because the buyers can­not afford to pay the r u l i n g price, 'shortage' indicates that even those buyers w h o are will ing to pay a pr ice acceptable to the

97

January 26, 1950 E C O N O M I C W E E K L Y

The Theory Of Black Market Prices A. K. Das Gupta

'HE ESSENTIAL funct ion of the pr ice mechanism is the

smooth clearance of the available supply in a marke t . An economic good is a good whose supply is scarce in r e l a t ion to demand,— 'scarcity ' i m p l y i n g s imply tha t the ent i re wan t of the society is no t satisfied by the available sup­p ly . In v i ew of the scarcity of supply, buyers press against one another, and those w h o fa i l to offer the r u l i n g price in the mar­ke t go unsatisfied. Pr ice thus measures the s trength of excluded demand, - b e i n g de termined by the degree of scarcity of supply re l a t ive ly to the marke t demand. In a free price system, excess de­mand or excess supply are ru l ed out . Excess demand is a s ignal for a price rise, and excess supply is a signal for a pr ice f a l l . Com­pe t i t ion among buyers and sellers br ings it about that a pr ice is set­t l ed in the marke t at w h i c h de­mand is equated to the supply. The available supply is t aken off the marke t by those buyers who are re la t ively stronger and are prepared to offer the r u l i n g pr ice ; those who cannot afford to pay the r u l i n g pr ice go unsatisfied. The s t rength of the buyers as ex­pressed in the marke t depends no t mere ly upon the degree of wil l ingness to have a good, b u t also upon the capacity to pay for i t

The price at wh ich demand is equated to the supply is cal led by economists the n o r m a l pr ice . In a free market , demand and supply forces can be re l ied on to secure the establishment of a no rma l pr ice and to ensure the smooth disposal of a commodi ty . Each has the r i g h t to b id his o w n pr ice for the commodi ty that he wants , and if the pr ice offered satisfies the seller, the deal is f inished w i t h ­ou t more ado. On the other hand, however intense the need that he may feel for a commodi ty , I t r e ­mains unsatisfied unless i t is back­ed by the pow e r -to pay a pr ice w h i c h w i l l satisfy the seller, The

free pr ice system is thus a de l i ­cate mechanism t h r o u g h w h i c h are avoided a l l k inds of manoeuvr-ings that w o u l d o therwise appear in society as a resul t of the pres­sure of demand upon scarce supply.

Ye t there is jus t one l i m i t a t i o n of the free price system, however satisfactory i t m i g h t be in respect of the smooth d e l i v e r y of goods. The system caters to the wants of stronger members of the society at the expense of its weaker mem­bers. A n d since this s t rength ex­presses itself, p a r t l y at any rate, in terms of the capacity to pay, the d i s t r ibu t ion of a good, as it takes place t h r o u g h the m a r k e t mechanism, tu rns ou t to be in accordance w i t h the re la t ive ' income' of the citizens ra ther than in accordance w i t h the i r re la t ive needs. A n d in a society w h i c h is characterised by large inequa l i ­ties of income, th is l i m i t a t i o n proves a serious l i m i t a t i o n .

Th i s is the sanction for pr ice cont ro l . I f the n o r m a l pr ice i s found too h igh for the poorer section of the c o m m u n i t y and i f it is felt that they should also be a l lowed to have a share of the available supply of a commodi ty , the State comes f o r w a r d and fixes a legal m a x i m u m for the m a r k e t price. A price be low ' no rma l ' is fixed and sellers are coerced in to accepting wha t is deemed to be the m a x i m u m al lowable , consist­ent ly w i t h the demand coming f rom the r e l a t ive ly poor.* A pr ice f ixed below n o r m a l does b r i n g the control led good w i t h i n the reach of the h i the r to unsatisfied buyers , a l though in do ing so, i t deprives the stronger buyers of a share tha t w o u l d , in the absence of cont ro l , belong to t hem. I f the con t ro l is jud ic ious ly and effec­t i ve ly adminis tered, i t may under

* The opposite case,—that of fixing a m i n i m u m price,—is no t re levant to o u r present p rob lem and is therefore r u l e d out .

cer ta in circumstances lead to a more desirable d i s t r i b u t i o n of the available supply.

There is, however , one aspect of the mat te r wh ich must not be lost sight of. The l i m i t a t i o n of the free pr ice system that we have mentioned-arises out of large in ­equalit ies of income. It is be­cause of this inequa l i ty tha t the n o r m a l pr ice fails to satisfy the general need of the society to the extent deemed desirable. N o w , i f this p r o b l e m of inequa l i ty can be tackled d i rec t ly , t h rough taxes and subsidies, or t h rough other measures of general income con­t r o l , the case for price control surely disappears. I f the income rat io between different groups in the society is b rough t d o w n to the leve l tha t is considered desir­able, the free pr ice system surely comes in to its o w n . In pr inc ip le , indeed, this is a surer w a y of achieving the objective that we have in v i ew. Whereas an over­a l l income con t ro l relieves the State of the necessity of look ing into i n d i v i d u a l markets , the p r i n ­ciple of pr ice cont ro l , since i t re­lates to i n d i v i d u a l markets , re­quires a w i d e r and a more ex­tended supervision, its na ture de­pending upon the character of the marke t and the number of com­modit ies to be control led.

What happens if the price of a commodi ty is fixed by the State at a level be low what i t w o u l d be under the free play of the forces of demand and supply? A state of 'excess demand ' is created; sellers offer to sell a q u a n t i t y w h i c h falls short o f that w h i c h the l a y ­ers are w i l l i n g to b u y at the g iven pr ice . The m a r k e t thus expe­riences 'shortage' w h i c h is to be dist inguished f r o m 'scarci ty ' pros­per. For , whereas 'scarcity ' de­notes mere ly tha t some demand is exc luded because the buyers can­no t afford to pay the r u l i n g pr ice, 'shortage' indicates that even those buyers w h o are w i l t i n g to pay a pr ice acceptable to the

97

T

E C O N O M I C W E E K L Y Janua ry 26, 1950

sellers m a y have to go unsatis­fied. Scarci ty is ub iqu i tous in t h e exchange economy; the fact that a pr ice is to be pa id at a l l is an ind ica t ion tha t scarcity exists. Shortage, on the other hand, is the outcome of an a r t i f ic ia l con t ro l w h i c h puts a b rake on supply b u t at the same t ime releases a de­m a n d w h i c h otherwise w o u l d re­ma in subdued.

H o w is this short supply dis­t r i b u t e d among the in tend ing buyers? Does i t go to those w h o come first , or to those w h o are physica l ly stronger and can push others out of the marke t? O b v i ­ously any such processes w o u l d frustrate the object of pr ice con­t r o l The technique o f r a t i on ing is thus the essential coro l la ry of a system of pr ice cont ro l . The con t ro l l ing a u t h o r i t y undertakes to arrange a d i s t r i bu t i on of wha t ­ever supply is available at the legal price among the in t end ing buyers according to the i r re la t ive needs. Th i s obvious ly means that , a l though people 'at the bot­t o m of the scale' get a par t of t he i r demand satisfied, those at the upper end of the scale are asked to accept a ra t ion smaller t han wha t , w i t h the i r stronger pu r ­chasing power , they could secure in a free marke t by b i d d i n g up prices. Here , therefore, are b u y ­ers eager to pay h igher prices for an ex t ra supply and sellers equa l ly eager to swi t ch on to the stronger m a r k e t i f on ly such a m a r k e t can be created. Thus the emergence of the so-called 'black marke t ' is the inevi table conse­quence of pr ice con t ro l and ra t ion ing . Because there are b u y ­ers p repared to b u y at h igher prices more than the i r r a t ion coupons a l low, and because there are sellers to w h o m the commer­c ia l code ra ther t h a n the l a w of the l and is supreme, and w h o are therefore anxious to sel l the i r good to the highest bidder , an area tends i nev i t ab ly to develop over w h i c h transactions take place at prices h igher t h a n the legal max imum,—i t s extent de­pending upon the degree of super­v i s ion exercised by the state towards the enforcement of l a w .

H o w are b lack m a r k e t prices d e t e r m i n e d " D o they t end t o b e

lower than the n o r m a l pr ice as i t w o u l d be in a free marke t? W h a t tends to be the ou tpu t of a commo­d i t y tha t f i nds i t s w a y in to b lack markets? Does i t exceed, or f a l l short of the n o r m a l ou tpu t? Th i s is a n e w f ie ld of e n q u i r y w h i c h has opened up in the wake o f w a r and post-war p r i ce controls and ra t ion ing . For , since these con­t ro ls have been in t roduced, b lack marke t s have been a common phenomenon almost everywhere .

N o t enough has ye t been done, i t appears, by our economists to analyse the affairs of the b lack markets . We have h a d a l o t of discussion concerning the d i f f i cu l ­ties a r i s ing f r o m the hetero­geneity of products w i t h i n the same indus t ry , differences in the costs of different firms, vague­ness of the needs of consumers, etc. We have also been t o ld about the possible fa i lu re of pr ice con­t r o l measures in v i e w of the i l l ega l transactions tha t 'shortages' w o u l d inev i t ab ly ca l l f o r t h . B u t the ac tual operations of the black markets , inspite of t he i r w i d e p re ­valence, have been left p rac t ica l ly alone. B u t n o t en t i re ly . A p a r t f r o m a few J o u r n a l art icles to w h i c h the present w r i t e r cou ld

no t have access, K e n n e t h E. Bou ld ing ' s Economic Analysis contains an ingenious t h e o r y of b lack m a r k e t prices, a l though even here, as t he present paper pu rpor t s to show, the mat te r has been presented in too simpliste a fashion and the essential character of the phenomenon has been lost sight of.

The f o l l o w i n g d iagram is the basis of Bould ing ' s analysis.1

D and S represent the n o r m a l demand and supply curves as they w o u l d be in the absence of con­t r o l . PN w o u l d then be the nor ­ma l pr ice, and ON the amount bought and sold. I f , now, OR is f ixed by the State to be the m a x i ­m u m price a t w h i c h b u y i n g and sel l ing are legal ly a l lowed, the quan t i t y suppl ied comes d o w n to RT and the quan t i t y demanded goes up to R V . To re l ieve the congestion of demand, the com­m o d i t y i s ra t ioned. B u t since the available supply in the legal mar-r ke t is on ly RT, many w i l l i n g buyers go unsatisfied, and an i l legal m a r k e t develops. W h a t are the demand and supply con­di t ions in this i l l ega l marke t? Here i s Bould ing ' s o w n s tory :

Janua ry 26, 1950 E C O N O M I C W E E K L Y

" W e can postulate a 'b lack m a r k e t supp ly curve ' , TSB l y i n g to the l e f t o f t h e n o r m a l supply cu rve TS. As operations in the b l ack m a r k e t invo lve a cer ta in r i s k above w h a t w o u l d be necessary in a free marke t , suppliers are n o t t o be found w i l l i n g to supply as m u c h a t each pr ice in the b l ack m a r k e t as w o u l d be done in the f r ee marke t ; in other words , be­cause of the h igher costs i t n o w takes a higher pr ice to ca l l f o r t h any g i v e n quan t i t y than i t d i d before. The h igher the costs of b lack marke t operat ion, t he steeper w i l l TSB rise. We can s i m i l a r l y postulate a b l ack m a r k e t demand curve , T 'Db. Even a t the legal m a x i m u m pr ice (OR) we m a y suppose tha t not a l l po ten t ia l buyers are w i l l i n g to b u y in the b lack marke t , so that the quan­t i t y demanded in the b lack m a r ­k e t at the price OR is no t the t o t a l unsatisfied demand quan t i ty , T V . b u t a smaller q u a n t i t y TDb . . . . T h e n the b lack m a r k e t price i s P 1 ,N 1 and the q u a n t i t y bought and sold in the black m a r k e t is TK, RK be ing the to t a l q u a n t i t y in the legal and the b lack m a r k e t com­bined , and RT the quan t i t y in the legal marke t . " I t i s fu r the r a rgued that in case " there are no penalties of any k i n d , legal or m o r a l , attached to purchases in the b lack market , the black mar­k e t demand curve w i l l b e the same as the n o r m a l demand curve , DP2, so that , w i t h TSB as the black m a r k e t supply curve , the b lack marke t pr ice w i l l be as h i g h as P2N2 . On the other hand , i f suppliers are unmolested and penalties are placed on ly on b lack marke t buyers , the b l ack m a r k e t pr ice w i l l be as l ow as

B o u l d i n g derives the fo l l owing conclusions f r o m his analysis of the b l ack marke t :

F i r s t , the b lack m a r k e t p r i ce m a y be less t h a n the n o r m a l p r ice as i t w o u l d be in a free marke t ; P1N1, as the d iagram shows, is less t h a n P N . Secondly, the aver­age p r i ce in the legal and the b lack marke t together i s l i k e l y to be less than the n o r m a l pr ice , so t h a t "even i f a b lack m a r k e t deve­lops as a resul t of p r ice con t ro l

t h e resu l t ing average pr ice is less t h a n tha t w h i c h w o u l d have obta ined in a perfec t ly free mar ­ket ." A n d t h i r d l y , the more r igorous are the measures taken against the b lack m a r k e t buyers t he lower i s the b l ack m a r k e t p r ice , and the larger the penalties placed on sellers, the h igher is the b lack m a r k e t price,—the inference f r o m this being that "other th ings be ing equal, i t w o u l d be bet ter to penalize the buyers ra ther than the sellers in the b lack marke t , the housewife ra ther than the grocer. ' '

W h i l e the above analysis raises ce r t a in interest ing issues, the manner in w h i c h t he p rob l em i s hand led leaves room for fu r the r reflect ion. In general, the exten­s ion of demand and supply curves, such as is done, to cover the black m a r k e t area is not o n l y logica l ly untenable b u t is also misleading in i ts implicat ions. To an exami ­na t i on of this we shal l now t u r n .

In the f i r s t place, i t i s w r o n g to take the unobst ructed black mar­ke t demand curve to be j u s t an extension of the o r ig ina l D— curve . I t mus t be remembered that, according to hypothesis, the legal supply, RT, is sold at the cont ro l led price, OR, and is thus open to buyers w i t h i n the range PV equal ly w i t h the buyers be­longing to the upper range. I f , then, a par t of the amount sold in the legal m a r k e t i s t aken away by buyers l y i n g be low the range RT, the demand curve in the b lack marke t , in the absence of penal ­ties, gets shifted above DP2. T h e stronger buyers w i t h i n the range RT, w i t h p a r t o f t h e i r demand u n ­satisfied, assert themselves in the black marke t and offer a p r i ce w h i c h i s h igher than i s shown in the o r ig ina l demand curve. Neg­lect ing obstacles to demand, there­fore, the po in t T 1 i nva r i ab ly lies ve r t i c a l l y above the D—curve .

As regards the black m a r k e t supp ly curve , i f r i sks at tend b lack m a r k e t sel l ing, th is curve shou ld l ie above the S—curve over i t s who le length , the distance bet­ween the t w o curves depending u p o n the marg ina l r isk-cost asso­ciated w i t h increasing sales i n t he

b l ack marke t . I f the m a r g i n a l risk-cost remains constant; the 1

t w o curves w i l l be paral lel . I f , on the other hand, as is more l i k e l y , the sellers are af ra id that exten­s ion of sales in the black marke t w i l l invo lve w i d e r pub ic i ty and increasing r i sk of detection, the distance between the t w o curves w i l l g row w i d e r as they move to t he r i gh t . In any case, the i n i t i a l p o i n t on the black marke t supply c u r v e w i l l be ve r t i ca l ly above T. Fu r the r , the amount sold in the legal marke t w i l l depend not o n l y u p o n average cost, as is assumed in the diagram, b u t also upon the degree of res t r i c t ion that is placed upon black marke t sell ing. RT is ce r ta in ly the m a x i m u m amount tha t can be sold at the con t ro l l ed pr ice , OR. Ye t i t may not be the actual amount released in the open marke t at that price, since the black markets w o u l d promise a higher r e t u r n . To wha t extent ou tpu t w h i c h could prof i tably be sold in the legal marke t w o u l d nevertheless disappear in to the d a r k area w i l l depend u p o n the r i g o u r w i t h w h i c h black m a r k e t dealings are treated,

T h i r d l y , — a n d this i s by far the most impor tan t po in t about the whole matter ,—the so-called b lack m a r k e t is a bundle of iso­lated transactions w h i c h , s t r i c t l y speaking, do not f o r m a m a r k e t a t a l l . The i l legal character of the transactions na tu ra l ly precludes the possibi l i ty of that degree of in te r -communica t ion between buyers and sellers w h i c h makes for a perfect marke t w i t h a u n i ­f o r m price. By its ve ry na tu re , the black market , such as it is, is a t best an imperfect i n s t i t u t i on in w h i c h i n d i v i d u a l buyers and sellers are, so to say, pa i red , a n d separate prices tend to evolve in respect of the same commodi ty , —the leve l in each case depending upon the re la t ive s t rength of -the parties. To t a l k of the black mar-k e t price, de te rmined at the point o f intersect ion between the b lack m a r k e t demand and supply curves, is thus i l leg i t imate . Indeed the theory tha t is relevant here is r a the r t ha t of imperfect m a r k e t a n d d i sc r imina t ion , and the tech­n i q u e tha t is appropriate is that of m a r g i n a l revenue and marg ina l

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E C O N O M I C W E E K L Y J a n u a r y 26, 1950

cost, T h e in tersect ion between ' the b lack m a r k e t demand and supp ly curves may point to a m i n i m u m price a t w h i c h a parce l of p roduc t might be sold p ro f i t ­ab ly , due account be ing taken of the r isks of such sales; i t does no t indicate the average pr ice at w h i c h the b lack marke t o u t p u t is actually sold. T h u s even if the b lack m a r k e t supply cu rve cuts the black m a r k e t demand c u r v e at P1 (as shown in the dia­g r a m ) , the amount bought and sold in the area w i l l not be neces­sar i ly ON1 nor w i l l the average pr ice be necessarily P 1 N 1 . Since some degree of d i sc r imina t ion w i l l be possible, the average revenue curve w i l l sure ly l ie above T'Db.

W h a t does a l l th is lead to? H o w are our generalisations concerning b lack marke ts affected by these considerations?

In the first place, since the b lack marke t area is dominated by stronger buyers and since, in the absence of in te r -communica t ion , sellers, strengthened by the fact of shortage, are in a posi t ion to apply d i sc r imina t ion to t h e i r advantage, the average of prices w i t h i n the black m a r k e t area ( w h i c h , according to our hypothe­sis, exceeds the marg ina l demand pr ice) tends to be higher than the n o r m a l price as it w o u l d be in a free marke t . T h e reverse may happen only i f v e r y h i g h penalties are placed upon black marke t buyers.

Secondly, the average price in the legal and the black markets taken together, depending, as i t does, upon the level of cont ro l led pr ice, the leve l of b lack marke t prices and the area covered by i l l ega l transactions re la t ive ly to the open market , may easily ex­ceed the n o r m a l free marke t prise. This tendency becomes a l l the more l i k e l y i f cont ro l over b lack marke t dealings is slacken­ed, for, in that case, a larger pro­po r t i on of the aggregate ou tpu t goes in to the black m a r k e t area. Thus an act of concession to b lack marke t sellers, w h i l e i t may b r i n g d o w n black marke t prices as such, i s altogether no t cer ta in in i ts effect on average pr ice in the

combined area, when account is taken of its repercussion on the vo lume of ou tpu t available for the 'open' area,

T h i r d l y , since, i f the l aw is to be taken at a l l seriously, the objective of po l icy mus t be to stop black marke t dealings, or, at any rate, to reduce the i r area to the m i n i m u m , i t is a mat ter of i n ­difference whe the r buyers or sellers or bo th are chosen for punishment in respect of these dealings. Fo r it is just a quest ion of keeping the demand curve below the supply curve in the black marke t region. A n d this of course can be done either by pushing d o w n the demand curve t h r o u g h penalties on buyers or by pushing up the supply curve t h r o u g h penalties on sellers. Ei ther of these operations, i f ca r r ied on successfully, w o u l d serve the purpose equal ly w e l l I t is for the State to decide w h i c h w o u l d be more convenient and more effective f rom the adminis­t r a t i ve point of v i ew .

Las t ly ,—given the black marke t supply curve , the higher the penalties placed on i l legal b u y i n g the lower surely is the average of prices, bu t the smaller also is the ou tpu t sold in the black marke t . I f , then, consumers' surplus is taken to be the c r i t e r ion of gain to buyers—to estimate w h i c h penal­ties, b o t h actual and potent ia l , as also the loss of ou tpu t available. are to be taken in to account,—it is misleading, under the pre tex t of price reduct ion , to make a scape­goat of the buyer.

These considerations ' suggest the sort of d i l emma to w h i c h a pol icy of pr ice con t ro l and ra t ion­ing gives rise. I f con t ro l over the b lack marke t is slackened, aggre­gate ou tpu t expands, bu t the legal m a r k e t is left h igh and d r y , and the scheme of r a t ion ing is endan­gered. On the other hand, i f con­t r o l over the black marke t i s t ightened, the supply in the legal m a r k e t expands, b u t the aggre­gate ou tpu t shr inks , and there is damage to consumers' surplus.

Does i t no t fo l low, therefore, that,—except whe re large i n ­

equalit ies are cal led for as a spe­cia l incent ive measure, as in t imes of war ,—the proper remedy for these excesses is tax-cum-subsidy rather than pr ice con t ro l and ra t ioning? The verd ic t of Profes­sor, Bobbins on this mat ter is w e l l w o r t h ponder ing over: " I f i t is felt that the w o r k i n g of the marke t results in a dis­t r i b u t i o n of goods w h i c h is not equitable, the remedy is to be found, not in suspending the marke t or in fa ls i fying the system of prices, b u t ra ther in direct ope­rat ion on the level of net incomes and proper ty ei ther by way of taxat ion or by way of subsidies to persons. If i t is thought that the r i c h get too much , then they should be taxed. If i t is thought that the prices of essential com­modit ies are too h igh for the poc­kets of the lowest group of income receivers, then give them money. Or if i t is felt that the poorest consumers are so s i l ly or so i r res­ponsible that they cannot spend increased money incomes p r o p e r l y ei ther for themselves or ( w h a t is more impor tan t ) for the i r c h i l d ­ren, then give them income in k i n d . B u t do not t h row the baby out w i t h the bath water by sus­pending the marke t or by fixing prices below the market e q u i l i ­b r i u m . Tha t way lies f rus t ra t ion and much economic waste."*

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* L i o n o l Robbins, The Economic Problem in Peace and War (Mac-mi l l an , 1947), pp. 8-9.