A Child's Guide to Rational Expectations Maddock and Carter.Pdf
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American Economic Association A Child's Guide to Rational Expectations Author(s): Rodney Maddock and Michael Carter Source: Journal of Economic Literature, Vol. 20, No. 1 (Mar., 1982), pp. 39-51 Published by: American Economic Association Stable URL: http://www.jstor.org/stable/2724658 Accessed: 20-03-2015 00:44 UTC Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp 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 [email protected]. American Economic Association is collaborating with JSTOR to digitize, preserve and extend access to Journal of Economic Literature. http://www.jstor.org This content downloaded from 208.138.56.79 on Fri, 20 Mar 2015 00:44:00 UTC All use subject to JSTOR Terms and Conditions Journal of Economic Literature Vol. XX (March 1982), pp. 39-51 A Child's Guide to Rational Expectations By RODNEY MADDOCK AND MICHAEL CARTER Research School of Social Sciences Australian National University DRAMATISPERSONAE (In order of speaking) Ernie, first student, is something of a Keynesian. Bert, second student, is more inclined to monetarism. Scene i Prologue Scene ii The Idea of Rational Expectations Deriving the Impotence Results Criticisms Scene iii Testing Significance Conclusion Appendix A Aggregate Supply Appendix B Algebra of the Model References Scene i. Prologue Bert: Which? Ernie: Somebody named Bennett McCallum (Two students sharing coffee in the union of was saying that rational expectations an Australian university.) proved that the government could not sta- Ernie: Did you read that ridiculous article in bilize the economy. Hang on, I've got it Challenge the other day? here: "An accurate understanding of how expectations are formed leads to the con- clusion that short-run stabilization policies * Our thanks to Neville Cain for his inspiration are untenable." (McCallum, 1980, p. 37). for this paper and to our colleagues at ANU, notably I don't know how they could develop theo- Malcolm Gray, Adrian Pagan and Jim Trevithick, ries like that. It's pretty obvious that gov- for their comments. We are also grateful to Fred Gruen and to an anonymous referee and the editor ernment policy does affect the economy for their assistance.All faults, of course, remain ours. in the short run. 39 This content downloaded from 208.138.56.79 on Fri, 20 Mar 2015 00:44:00 UTC All use subject to JSTOR Terms and Conditions 40 Journal of Economic Literature, Vol. XX (March 1982) Bert: He didn't say they could not affect the all the people all the time. Therefore, sys- economy in the short run or even in the tematic policy is ineffective.5 long run. The key word is stabilize.' Just Ernie: I'm not at all sure that the long-run think about what's happened in the last Phillips curve is vertical.6 We used to have few years-record inflation and record un- about one percent unemployment; now employment. You don't call that stabiliza- we seem to be stuck at about eight per- tion, do you? cent. How can you explain that with a ver- Ernie: Well, maybe they've been stable at tical Phillips curve. "The Phillips curve is high levels but I take your point. There vertical but moves around a lot"-hardly does seem to have been some break- seems much of a theory.7 Even if it is verti- down of the ways in which the govern- cal and we can't get away from it except ment can influence the macroeconomy. by fooling people, clearly the government Do these rational expectations blokes can fool people. Every time it changes pol- think they have a model to explain stag- icy the people don't know about the new flation? policy for a while so it takes time before Bert: Yes, they do. It's caused by misguided they catch up.8 governments following Keynesian policies Bert: But that's just what rational expecta- that haven't worked, don't work, and tions is all about! It suggests that people won't work in the future.2 anticipate the effects of the new policy. Ernie: I suppose they advocate doing nothing If that's true, then the policies won't cause and letting the 'free market' do its worst. any increase in employment! Great! They sound just like Friedman and Ernie: How on earth are people supposed to all those old-fashioned monetarists. They anticipate the effects of policy? I just can't have always said inflation was just a mone- see it. Have they all got econometric mod- tary phenomenon and macro policy els under the sink?9 couldn't shift the economy to higher levels Bert: (Angrily) Now you're just being silly. of employment. Have you read any of the basic litera- Bert: Yes, that's right. Most economists now ture-Lucas, Sargent, Wallace, and so on? agree that the long-run Phillips curve is Ernie: I've looked at some but it just seems vertical.3 That means that there exists a unreal-too many equations. They never natural rate of unemployment.4 Govern- define exactly how they think anybody ment policy can bring about a departure forms these "rational expectations." from that only in the short run and then Bert: Look, I've got to go to my macro lec- only by fooling people. But you can't fool ture. How about we meet again tomorrow, I Usually defined as minimization of the variance 5 This is Friedman's proposition that in the long around some fixed macroeconomic objectives (Greg- run anticipated and actual economic values must be ory Chow, 1970). equal so that policies that work through illusions, 2 There is a clear ideological component to much or systematically wrong anticipations, will be ineffec- rational-expectations work and opponents will be tive in that long run. tempted to dismiss the theory on ideological 6 Gordon (1976) considers a number of possibilities grounds. Later we suggest that there are merits in mainly relying on different forms of sluggish price the theory quite separate from its use to support adjustment. particular propositions about the role of govern- 7 Robert Hall (1975) makes this criticism. As he ment. interpreted the evidence, most of the variation in 3 See M. Friedman (1968) and Robert J. Gordon output came from changes in the natural rate, pro- (1976) for views on this. Appendix A deals with the voking questions about the importance of a theory issue in some more detail. which only explained deviations from the natural 4 "Natural" in the sense that everybody who wants rate. It would be a useful theory if it explained the a job at the going wage has one. This definition de- movements in the rate itself. nies the possibility of unemployment arising from 8John Taylor (1975) explores the possibilities for a failure of effective demand and hence from the policy while people learn the new rule. Benjamin "Keynesian" problem (Edmond Malinvaud, 1977). Friedman (1979) addresses the same question. There is no necessary connection between verti- 9John Muth (1961, p. 317) in outlining what he cal Phillips curves and a natural rate of employ- meant by rational expectations anticipated this criti- ment. cism. This content downloaded from 208.138.56.79 on Fri, 20 Mar 2015 00:44:00 UTC All use subject to JSTOR Terms and Conditions Maddock and Carter:Rational Expectations 41 and I'll introduce you to the magnificient processing of information and to the for- world of rational expectations. Same time? mation of expectations."1 Ernie: Am I to infer that my utility function Scene ii. A. The Idea and I sit down together and rationally de- of Rational Expectations cide how much information I should ac- quire in order to form the expectations (In the same place, next day.) that will help me maximize my utility? In- Bert: Well, are you ready to try to under- credible! stand what rational expectations is about? Bert: Yes, you can attack it that way if you Ernie: Yes. Have you got it figured out yet? like, but that's a more general criticism Bert: I've been thinking about it. Let's go of utility theory which we can argue about through it systematically. First, we can talk some other time. All I'm saying here is about just what rational expectations are. that if one considers economic agents to Then we can look at the way the policy be rational maximizers, then it's impotence result is derived. By then we consistent12to consider information gath- should have a pretty clear idea of what ering and expectation formation as deter- this line of research is all about so we can mined by the same procedure. try to figure out how it relates to the Phil- Ernie: O.K. So you'd insist upon a rational ex- lips curve, monetarism, econometric mod- pectations postulate that private economic els, and all that. O.K.? agents gather and use information effi- Ernie: Alright. What's the definition of ra- ciently. That means you believe the mar- tional expectations? What on earth might ginal costs of gathering and using informa- irrational expectations be? tion are equated to their marginalbenefits. Bert: First things first. Let's start with famil- McCallumdoesn't agree with you. He says: iar ground.