@ OXFORD JOURNALS OXFORD UNIVERSITY PRESS The Market for Lemons: Quality Uncertainty and the Market Mechanism Author(s): George A. Akerlof Source: The Quarterly Journal of Economics, Vol. 84, No. 3(Aug, 1970), pp. 488-500 Published by: Oxford University Press StableUrl:http://www.jstor.org/stable/1879431 Accessed: 18-11-2017 16: 26 UTC JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor. org Your use of the JSTOR archive indicates your acceptance of the Terms Conditions of Use, available at http://about.jstor.org/terms Oxfor d University Press is collaborating with TSTOR to digitize, preserve and d extend acc to The Quarterly Journal of Economics STOR This content downloaded from 220.248.61.69 on Sat, 18 Now 2017 16: 26: 51 UTC Allusesubjecttohttp:/aboutjstor.org/terms
The Market for "Lemons": Quality Uncertainty and the Market Mechanism Author(s): George A. Akerlof Source: The Quarterly Journal of Economics, Vol. 84, No. 3 (Aug., 1970), pp. 488-500 Published by: Oxford University Press Stable URL: http://www.jstor.org/stable/1879431 Accessed: 18-11-2017 16:26 UTC JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Oxford University Press is collaborating with JSTOR to digitize, preserve and extend access to The Quarterly Journal of Economics This content downloaded from 220.248.61.69 on Sat, 18 Nov 2017 16:26:51 UTC All use subject to http://about.jstor.org/terms
THE MARKET FOR LEMONS QUALITY UNCERTAINTY AND THE MARKET MECHANISM GEORGE A. AKERLOF I. Introduction. 488.-II. The model with automobiles 489.-III. Examples and applications, 492.-IV. Counteracting institutions, 499.-v. Conclusion, 500. L. INTRODUCTION This paper relates quality and uncertainty. The existence of goods of many grades poses interesting and important problems fo he theory of markets. On the one hand, the interaction of quality differences and uncertainty may explain important institutions of the labor market. On the other hand this paper presents a strug- gling attempt to give structure to the statement Business in under developed countries is difficult", in particular, a structure is given for determining the economic costs of dishonesty. Additional appl ations of the theory include comments on the structure of money markets, on the notion of "insurability, on the liquidity of dur ables, and on brand-name goods There are many markets in which buyers use some market statistic to judge the quality of prospective purchases. In this case there is incentive for sellers to market poor quality merchandise, since the returns for good quality accrue mainly to the entire grou whose statistic is affected rather than to the individual seller. A result there tends to be a reduction in the average quality of goods and also in the size of the market. It should also be perceived that in these markets social and private returns differ, and therefore, in some cases, governmental intervention may increase the welfare of all parties. Or private institutions may arise to take advantage of the potential increases in welfare which can accrue to all parties By nature, however, these institutions are nonatomistic, and there- fore concentrations of power-with ill consequences of their own can develop. 中 The author would 8. He would also like Ford Foundation for financial support. downloaded from 220.248.61 69 on Sat, 18 Nov 2017 16: 26: 51 UTC Allusesubjecttohttp://about.jstor.org/term
THE MARKET FOR "LEMONS": QUALITY UNCERTAINTY AND THE MARKET MECHANISM * GEORGE A. AKERLOF I. Introduction, 488.-II. The model with automobiles as an example, 489.- III. Examples and applications, 492.- IV. Counteracting institutions, 499. -V. Conclusion, 500. I. INTRODUCrION This paper relates quality and uncertainty. The existence of goods of many grades poses interesting and important problems for the theory of markets. On the one hand, the interaction of quality differences and uncertainty may explain important institutions of the labor market. On the other hand, this paper presents a strug- gling attempt to give structure to the statement: "Business in under- developed countries is difficult"; in particular, a structure is given for determining the economic costs of dishonesty. Additional appli- cations of the theory include comments on the structure of money markets, on the notion of "insurability," on the liquidity of dur- ables, and on brand-name goods. There are many markets in which buyers use some market statistic to judge the quality of prospective purchases. In this case there is incentive for sellers to market poor quality merchandise, since the returns for good quality accrue mainly to the entire group whose statistic is affected rather than to the individual seller. As a result there tends to be a reduction in the average quality of goods and also in the size of the market. It should also be perceived that in these markets social and private returns differ, and therefore, in some cases, governmental intervention may increase the welfare of all parties. Or private institutions may arise to take advantage of the potential increases in welfare which can accrue to all parties. By nature, however, these institutions are nonatomistic, and there- fore concentrations of power - with ill consequences of their own - can develop. *The author would especially like to thank Thomas Rothenberg for invaluable comments and inspiration. In addition he is indebted to Roy Radner, Albert Fishlow, Bernard Saffran, William D. Nordhaus, Giorgio La Malfa, Charles C. Holt, John Letiche, and the referee for help and sugges- tions. He would also like to thank the Indian Statistical Institute and the Ford Foundation for financial support. This content downloaded from 220.248.61.69 on Sat, 18 Nov 2017 16:26:51 UTC All use subject to http://about.jstor.org/terms
MARKET FOR "LEMONS": AND MARKET MECHANISM 489 The automobile market is used as a finger exercise to illustrate and develop these thoughts. It should be emphasized that this mar- ket is chosen for its concreteness and ease in understanding rather than for its importance or realism I I. THE MODEL WITH AUTOMOBILES AS AN EXAMPLE A. The Automobiles Market The example of used cars captures the essence of the problem From time to time one hears either mention of or surprise at the rge price difference between new cars and those which have just left the showroom. The usual lunch table justification for this different explanatio pure joy of owning a"new"car. We offer a phenomenon is the on. Suppose (for the sake of clarity rather thal reality) that there are just four kinds of cars. There are new cars and used cars. There are good cars and bad cars (which in America are known as"lemons). A new car may be a good car or a lemon, nd of course the same is true of used cars The individuals in this market buy a new automobile without knowing whether the car they buy will be good or a lemon. But the do know that with probability g it is a good car and with probability (1-q)it is a lemon; by assumption, q is the proportion of good cars produced and (1-q) is the proportion of lemons After owning a specific car, however, for a length of time, the car owner can form a good idea of the quality of this machine; i.e., the owner assigns a new probability to the event that his car is a lemon. This estimate is more accurate than the original estimate etry in available information has developed sellers now have more knowledge about the quality of a car than the buyers. But good cars and bad cars must still sell at the same price-since it is impossible for a buyer to tell the difference tween a good car and a bad car. It is apparent that a used car can- not have the same valuation as a new car-if it did have the sam valuation, it would clearly be advantageous to trade a lemon at the price of new car, and buy another new car, at a higher prob- ability q of being good and a lower probability of being bad. Thus the owner of a good machine must be locked in. Not only is it true that he cannot receive the true value of his car, but he cannot even obtain the expected value of a new car. Gresham's law has made a modified reappearance. For most cars traded will be the"lemonS, "and good cars may not be traded at all. The "bad"cars tend to drive out the good (in much the downloaded from 220.248.61 69 on Sat, 18 Nov 2017 16: 26: 51 UTC Allusesubjecttohttp://about.jstor.org/term
MARKET FOR "LEMONS": AND MARKET MECHANISM 489 The automobile market is used as a finger exercise to illustrate and develop these thoughts. It should be emphasized that this mar- ket is chosen for its concreteness and ease in understanding rather than for its importance or realism. II. THE MODEL WITH AUTOMOBILES AS AN EXAMPLE A. The Automobiles Market The example of used cars captures the essence of the problem. From time to time one hears either mention of or surprise at the large price difference between new cars and those which have just left the showroom. The usual lunch table justification for this phenomenon is the pure joy of owning a "new" car. We offer a different explanation. Suppose (for the sake of clarity rather than reality) that there are just four kinds of cars. There are new cars and used cars. There are good cars and bad cars (which in America are known as "lemons"). A new car may be a good car or a lemon, and of course the same is true of used cars. The individuals in this market buy a new automobile without knowing whether the car they buy will be good or a lemon. But they do know that with probability q it is a good car and with probability (1-q) it is a lemon; by assumption, q is the proportion of good cars produced and (1 - q) is the proportion of lemons. After owning a specific car, however, for a length of time, the car owner can form a good idea of the quality of this machine; i.e., the owner assigns a new probability to the event that his car is a lemon. This estimate is more accurate than the original estimate. An asymmetry in available information has developed: for the sellers now have more knowledge about the quality of a car than the buyers. But good cars and bad cars must still sell at the same price -since it is impossible for a buyer to tell the difference be- tween a good car and a bad car. It is apparent that a used car can- not have the same valuation as a new car - if it did have the same valuation, it would clearly be advantageous to trade a lemon at the price of new car, and buy another new car, at a higher prob- ability q of being good and a lower probability of being bad. Thus the owner of a good machine must be locked in. Not only is it true that he cannot receive the true value of his car, but he cannot even obtain the expected value of a new car. Gresham's law has made a modified reappearance. For most cars traded will be the "lemons," and good cars may not be traded at all. The "bad" cars tend to drive out the good (in much the This content downloaded from 220.248.61.69 on Sat, 18 Nov 2017 16:26:51 UTC All use subject to http://about.jstor.org/terms
QUARTERLY JOURNAL OF ECONOMICS Bame way that bad money drives out the good). But the analogy with Gresham s law is not quite complete: bad cars drive out the good because they sell at the same price as good cars; similarly, bad money drives out good because the exchange rate is even. but the bad cars sell at the same price as good cars since it is impossible for a buyer to tell the difference between a good and a bad car only the seller knows. In Gresham's law, however, presumably both buyer and seller can tell the difference between good and bad money. So the analogy is instructive, but not complete B. Asymmetrical informatiom It has been seen that the good cars may be driven out of the market by the lemons. but in a more continuous case with different grades of goods, even worse pathologies can exist. For it is quite possible to have the bad driving out the not-s0-bad driving out the medium driving out the not-so-good driving out the good in such a sequence of events that no market exists at all One can assume that the demand for used automobiles depends most strongly upon two variables-the price of the automobile p and the average quality of used cars traded a, or Qd=D(p, u).Both the supply of used cars and also the average quality u will depend upon the price, or p=u(p)and S=s(p). And in equilibrium the supply must equal the demand for the given average quality, or S(p)=D(p, u(p)). As the price falls, normally the quality will also fall. And it is quite possible that no goods will be traded at e level thal e lach an example can be derived from utility theory. Assum group one a utility function U1=M+写x where M is the consumption of goods other than automobile, 4 is the quality of the ith automobile, and n is the number of auto- mobiles Similarly, let U2=M+写3/2x4 where M, I, and n are defined as before Three comments should be made about these utility func- ions: (1)without linear utility (say with logarithmic utility )one gets needlessly mired in algebraic complication. (2)The use of downloaded from 220.248.61 69 on Sat, 18 Nov 2017 16: 26: 51 UTC Allusesubjecttohttp://about.jstor.org/term
490 QUARTERLY JOURNAL OF ECONOMICS same way that bad money drives out the good). But the analogy with Gresham's law is not quite complete: bad cars drive out the good because they sell at the same price as good cars; similarly, bad money drives out good because the exchange rate is even. But the bad cars sell at the same price as good cars since it is impossible for a buyer to tell the difference between a good and a bad car; only the seller knows. In Gresham's law, however, presumably both buyer and seller can tell the difference between good and bad money. So the analogy is instructive, but not complete. B. Asymmetrical Information It has been seen that the good cars may be driven out of the market by the lemons. But in a more continuous case with different grades of goods, even worse pathologies can exist. For it is quite possible to have the bad driving out the not-so-bad driving out the medium driving out the not-so-good driving out the good in such a sequence of events that no market exists at all. One can assume that the demand for used automobiles depends most strongly upon two variables - the price of the automobile p and the average quality of used cars traded, a, or Qd = D (p, A). Both the supply of used cars and also the average quality p will depend upon the price, or p=j (p) and S=S(p). And in equilibrium the supply must equal the demand for the given average quality, or S(p) = D (p, p (p)). As the price falls, normally the quality will also fall. And it is quite possible that no goods will be traded at any price level. Such an example can be derived from utility theory. Assume that there are just two groups of traders: groups one and two. Give group one a utility function U1=M+ iXi _.1 where M is the consumption of goods other than automobiles, x4 is the quality of the ith automobile, and n is the number of auto- mobiles. Similarly, let U2 = M+ X 3/2x4 i.i where M, xi, and n are defined as before. Three comments should be made about these utility func- tions: (1) without linear utility (say with logarithmic utility) one gets needlessly mired in algebraic complication. (2) The use of This content downloaded from 220.248.61.69 on Sat, 18 Nov 2017 16:26:51 UTC All use subject to http://about.jstor.org/terms
MARKET FOR "LEMONS: AND MARKET MECHANISM 491 linear utility allows a focus on the effects of asymmetry of informa- tion; with a concave utility function we would have to deal jointly with the usual risk-variance effects of uncertainty and the special effects we wish to discuss here (3)U, and U2 have the odd char- acteristic that the addition of a second car, or indeed a kth car, adds the same amount of utility as the first. again realism is sacri ficed to avoid a diversion from the proper focus To continue, it is assumed (1)that both type one traders and type two traders are von Neumann- Morgenstern maximizers of expected utility; (2)that group one has N cars with uniformly distributed quality r, Osrs2, and group two has no cars; (3)that the price of“ other goods”" M is unity Denote the income (including that derived from the sale of automobiles)of all type one traders as Y1 and the income of all type two traders as Y2. The demand for used cars will be the sum of the demands by both groups. When one ignores indivisibilities, the demand for automobiles by type one traders will be /p>1 A/p<1 And the supply of cars offered by type one traders is (1)S2=pN/2 with average quality /2 (To derive (1)and(2), the uniform distribution of automobile quality is used. Similarly the demand of type two traders is D2=Y2/p 3μ/2>P S2=0. Thus total demand D(p, u)is D(p,)=(Y2+Y1)/p D(p, Y if<p<3μ/2 D(p,)=0 if p>3u However, with price p, average quality is p/2 and therefore at no price will any trade take place at all: in spite of the fact that at any given price between 0 and 3 there are traders of type one who are willing to sell their automobiles at a price which traders of type two are willing to pay downloaded from 220.248.61 69 on Sat, 18 Nov 2017 16: 26: 51 UTC Allusesubjecttohttp://about.jstor.org/term
MARKET FOR "LEMONS": AND MARKET MECHANISM 491 linear utility allows a focus on the effects of asymmetry of informa- tion; with a concave utility function we would have to deal jointly with the usual risk-variance effects of uncertainty and the special effects we wish to discuss here. (3) U1 and U2 have the odd char- acteristic that the addition of a second car, or indeed a kth car, adds the same amount of utility as the first. Again realism is sacri- ficed to avoid a diversion from the proper focus. To continue, it is assumed (1) that both type one traders and type two traders are von Neumann-Morgenstern maximizers of expected utility; (2) that group one has N cars with uniformly distributed quality x, 0<x <2, and group two has no cars; (3) that the price of "other goods" M is unity. Denote the income (including that derived from the sale of automobiles) of all type one traders as Y1 and the income of all type two traders as Y2. The demand for used cars will be the sum of the demands by both groups. When one ignores indivisibilities, the demand for automobiles by type one traders will be D1=Y1/p /p>l Di=O =/p<l. And the supply of cars offered by type one traders is (1) S2= pN/2 p'2 with average quality (2) i= p/2. (To derive (1) and (2), the uniform distribution of automobile quality is used.) Similarly the demand of type two traders is D2 = Y2/P 3u/2 > p D2 =0 3u/2 < p and S2 =0. Thus total demand D (p, u) is D (p, u) = (Y2+ Y1)/P if p </ D (p, ) = Y2/p if u< p <3u/2 D(p, y =0 if p>3u/2. However, with price p, average quality is p/2 and therefore at no price will any trade take place at all: in spite of the fact that at any given price between 0 and 3 there are traders of type one who are willing to sell their automobiles at a price which traders of type two are willing to pay. This content downloaded from 220.248.61.69 on Sat, 18 Nov 2017 16:26:51 UTC All use subject to http://about.jstor.org/terms