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Critique of Rational Expectations

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Esuric posted on Fri, Oct 1 2010 9:36 PM

This is my critique of Rational Expectations. If you have something to add, or If I’ve made some kind of mistake, please let me know. This thread is extremely lengthy.

The most vocal criticism of the Austrian theory of cycles comes from the rational expectations crowd. They assert that individuals simply do not systematically err in the aggregate, and are therefore immune to arbitrary alterations and manipulations in the price mechanism, especially lowered interest rates. Let’s ignore, for the moment, that this argument entirely ignores the function of the price mechanism, the fact that market interest rates are only “high” and “low” depending on their positions relative to the natural rate[1], and the interrelated microeconomic effects of inflation. Rather, I think it would be more productive if we first actually focused on the theory of rational expectations itself, and its extensions, namely the efficient market hypothesis, both the weak and strong versions.

Rational Expectations:

Prior to the rational expectations “revolution” of the 70s economists regularly employed a one-dimensional theory of expectations solely based on past historical data (adaptive expectations). So, for example, if past inflation rates averaged 5%, expectations of future inflation would be 5% as well. If, on the other hand, inflation rose to a rate of 7%, then inflation expectations would gradually rise to 7%. Clearly, this is problematic. Individuals don’t solely rely on past historical averages when forming their expectations and calculations; they attempt to incorporate as many relevant variables as possible. So, for example, if the Federal Reserve announces that it will triple the supply of high-powered money, and if individuals have some basic understanding of economic theory, then they should expect inflation rates to exceed past historical averages, and they will factor this into their calculations. They will do this because failing to incorporate all relevant variables is very costly (bond holders, for example, will get crushed if they don’t understand inflation).

This is all well and good, and I doubt that many would seriously contest this line of reasoning. But John Muth, the father of rational expectations, went one step further, he asserts: expectations will be identical to optimal forecasts using all available information[2]. There are two major implications from this conclusion:

  1. If there is a change in the way a variable moves, the way in which expectations of this variable are formed will change as well: So if the interest rate, for example, is “high,” then individuals will expect it to return to its “normal level.” If it stays “high,” then individuals will expect it to remain “high.”
  2. The forecast errors of expectations will, on average, be zero: This was already mentioned, but the formal statement of the theory is Xe = Xof (the expectation of X equals the optimal forecast using all relevant information).

It is important to note that rational expectations does not assert, as many claim, that individuals have perfect information; that is, it admits that some information is simply unavailable, and it actually claims that some individuals may choose to ignore relevant variables because it may require too much effort to identify (too costly). Thus, Rational Expectations admits much of its theoretical deficiencies, and this already casts doubt on its theoretical tenability and usefulness. The truth of this concession is most evident within the political sphere, where individuals (a) are unaware of the true intensions of politicians, and (b) where they simply refuse to educate themselves politically (purposely ignore relevant variables when they make political decisions/vote).

It’s true, though, that the market is unlike the political sphere in many ways. For example, individuals actually have power in the market, and the intensions of market actors are immaterial; only results and performance matter (assuming that the system is free from arbitrary advantages and disturbances). But in the market there is a substantial difference between what individuals attempt to do and what actually happens (the inevitable result of extreme complexity and uncertainty). Individuals may attempt to use all of the relevant information, the same way that the entrepreneur attempts to engage in profitable productions, but distinguishing between relevant information and irrelevant information is an extremely difficult endeavor (much more so than in the political realm), especially when the relevant information is contained within prices (expressed by the price mechanism).

The entrepreneur, for example, needs to understand much more than his own personal preferences and the preferences of one or two actors; he needs to understand the marginal technical rates of substitution amongst various heterogeneous goods with varying degrees of complementarity; he needs to understand the subjective desires of billions of individuals, which are in continuous flux; he needs to understand the ramifications of government intrusion into various markets, ect ect.

The degree of competency required to obtain such information without a functional and accurate price mechanism is beyond the scope of human cognitive abilities. In other words, prices (not intuition) guide production. Hayek explains,

They overlook the fact that, in the exchange economy, production is governed by prices, independently of any knowledge of the whole process of individual producers, so that it is only when the pricing process is itself disturbed that a misdirection of production may occur (Monetary Theory and the Trade Cycle, pp. 41).

Let’s quickly reexamine the first implication of rational expectations, since there are many assumption already built into it:

  1. Each individual is fully aware of the time preferences of all other individuals and knows what the natural rate of interest is. In other words, they are able to see what the normal return on investment would be in a purely theoretical barter economy.
  2. They fully understand the effects of a suppressed market rate of interest below the natural rate of interest and choose not to capitalize (for lack of a better term) on potential short-term profits because they can see into the future.
  3. Essentially, individuals have some intuitive connection to some illusory general equilibrium; that is, they know where the interest rate “should be” even if the market does not express it.

The absurdity of such a position is obvious. Thus, rational expectations, within the realm of economics, are entirely contingent upon a price mechanism that is not continuously manipulated by external authorities. And since prices are in fact continuously altered, we must therefore dismiss rational expectations as a valid critique of the ABCT.

The Efficient Market Hypothesis:

I mention this extension only because I wish to elucidate the point that simple theoretical mistakes have a tendency to turn into unforgivable abominations. The weak version of the EMH merely incorporates RE within the field of finance (current prices in a financial market will be set so that the optimal forecasts of a security’s return using all available information equals the security’s equilibrium return[3]). But it’s the strong version that is truly remarkable: an efficient market prices securities so that they reflect the “true intrinsic” value of the securities. Thus, prices always reflect market fundamentals, so that any investment is just as good as any other investment. And thus we have returned to the classical framework, where value and prices are identical.

Conclusion:

If individuals truly had some mystical connection to some general equilibrium, where their expectations were identical to equilibrium results, then the price mechanism, i.e., the explicit expression of opportunity costs, would be entirely superfluous. We would merely need to find the most intuitive individuals and have them centrally plan our economic system. Recessions and endogenous price rigidities simply could not exist under such circumstances (which is why some proponents of rational expectations deny the existence of bubbles contrary to all empirical and theoretical evidence). But this is merely a utopian fantasy that ignores reality.

Furthermore, Rational Expectations, and its extensions, have been an expedient tool for all those who oppose the free market system and free market economics. Liberal professors continuously refute these straw men while ignoring the indubitable arguments put forth by the likes of Bastiat, Say, Mises, Rothbard, ect.



[1] In other words, a 4% market interest rate may be “too high” and a 15% market rate of interest may be “too low.”

[2] John Muth, “Rational Expectations and the Theory of Price Movements,” Econometrica 29 (1961): 315-335.

[3] Mishkin, Frederick S., Money, Banking & Financial Markets, 9th edition. (2009): 157-158

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First, let me state that I do believe that rational expectations can be weakened by systematic biases; however, I believe the findings of behavioral economics are typically overemphasized and such biases don't seriously undermine free markets.

However, such biases can be significant when costs are low (e.g., political environments), as Caplan has demonstrated in regard to the "rational irrationality" of voters.

"I'm not a fan of Murray Rothbard." -- David D. Friedman

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StrangeLoop:
First, let me state that I do believe that rational expectations can be weakened by systematic biases; however, I believe the findings of behavioral economics are typically overemphasized and such biases don't seriously undermine free markets.

However, such biases can be significant when costs are low (e.g., political environments), as Caplan has demonstrated in regard to the "rational irrationality" of voters.

Sounds like a "yes" to me! :D

Furthermore, the economy is partially controlled by political means (e.g. central banking)... need I say more?

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The key part of rational irrationality is that it's rational to hold irrational beliefs; why so?

Workers will, I believe, negotiate contracts to match inflation; otherwise, they're being irrationally irrational! Not all of politics is vulnerable to Caplan's critique.

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StrangeLoop:
edward_1313, do you believe market participants, through their interaction, determine the most reliable prices that could be developed? That is, do you agree with Hayek?

PLEASE REREAD THE PREVIOUS ARGUMENTS CAREFULLY.  This reveals that you're not grasping the essence of the matter.  The possibility of business cycles does not hinge on any assumptions about the relative efficiences of various market structures...     

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StrangeLoop:
That is, do you agree with Hayek?

If there is anyone who had a truly deep understanding of 'expectations' and their place in the market structure, it was Hayek.  And he maintained that understanding simultaneously with his expansion of the theory of the cycle.  I would not invoke Hayek as being on your side.

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edward_1313:
PLEASE REREAD THE PREVIOUS ARGUMENTS CAREFULLY.

No offense, but introducing far-flung make-believe analogies generates more heat than light.

edward_1313:
The possibility of business cycles does not hinge on any assumptions about the relative efficiences of various market structures...

Who is discussing business cycles?

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edward_1313:
If there is anyone who had a truly deep understanding of 'expectations' and their place in the market structure, it was Hayek.  And he maintained that understanding simultaneously with his expansion of the theory of the cycle.  I would not invoke Hayek as being on your side.

If we assume that market interaction generates the most accurate prices, then could expectations be anything other than rational? If so, please explain (rather than simply praise Hayek and insist he would not endorse rational expectations). I wasn't attempting to hijack Hayek; rather, I was attempting to inquire how Hayek could still be right without rational expectations.

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StrangeLoop:
If we assume that market interaction generates the most accurate prices, then could expectations be anything other than rational? If so, please explain (rather than simply praise Hayek and insist he would not endorse rational expectations). I wasn't attempting to hijack Hayek; rather, I was attempting to inquire how Hayek could still be right without rational expectations.

The reason I've become a bit impatient is that this precise argument has been addressed in previous posts, both explicity and implicitly. 

Expectations can be perfectly rational with respect to prices (in fact, this is trivial) but not with respect to the underlying data.  If prices become unhinged from the underlying data, then you'll have a divergence. 

Thus, you can think of expectations as being judged on the basis of 2 criteria:

1.)  If they're rational w.r.t prices

2.)  if they're rational w.r.t to the underlying data

1 is basically a tautology.  2 only holds if prices accurately represent the underlying data.

In the context of the example I gave earlier, it is trivial to say that the average of the values by the guessers will approach what the slips guide them to approach (assuming they want to be accurate).  Just as it is trivial to say that producers will produce what prices guide them to produce.  But if what those slips guide them too is not the true value, then their guesses are not rational w.r.t the true underlying value.  

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In the context of the example I gave earlier, it is trivial to say that the average of the values by the guessers will approach what the slips guide them to approach (assuming they want to be accurate).  Just as it is trivial to say that producers will produce what prices guide them to produce.  But if what those slips guide them too is not the true value, then their guesses are not rational w.r.t the true underlying value.

How do you know whether a price accurately reflects the value of the underlying asset or not? You are assuming that you can objectively know whether or not a price is 'right' or 'wrong'.

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How do you know whether a price accurately reflects the value of the underlying asset or not? You are assuming that you can objectively know whether or not a price is 'right' or 'wrong'.
justin, if you read my example carefully you'll notice that I make the ASSUMPTION that the slips diverge from the true value. This would be knowledge on behalf of the experiment conductor, but not on behalf of the guessers. I made that assumption to illustrate a point. And if you read further in my example, you'll notice that it discusses how the guessers DON'T KNOW WHETHER THE SLIPS ARE ACCURATE OR NOT. So yes; we can never know whether prices are accurate or not; this is one of my main points!!!!
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No offense, but introducing far-flung make-believe analogies generates more heat than light.
I realize that you may be dis-inclined to read the thing, but having to work with concrete examples sheds light on what's really going on behind concepts. Just repeatedly regurgitating the arguments of others leads me to think you haven't meticulously thought through what those arguments mean in various contexts. If you've read Muth's paper than you'd know that he's always working within some model that is already in Eq-m. And he's assuming that 1.) that model is an accurate representation of some phenomena and 2.) that a given person has access to that model. He never makes an effort to justify why such strong assumptions would hold in a real-world economy. And then you have followers who blithely justify Muth's assumptions on the basis of profit and loss (e.g. Knoop). But they do so without thinking deeply about whether profit and loss necessarily conveys the true underlying data. This is not a given.
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How do you know whether a price accurately reflects the value of the underlying asset or not? You are assuming that you can objectively know whether or not a price is 'right' or 'wrong'.
justin, if you read my example carefully you'll notice that I make the ASSUMPTION that the slips diverge from the true value. This would be knowledge on behalf of the experiment conductor, but not on behalf of the guessers. I made that assumption to illustrate a point. And if you read further in my example, you'll notice that it discusses how the guessers DON'T KNOW WHETHER THE SLIPS ARE ACCURATE OR NOT. So yes; we can never know whether prices are accurate or not; this is one of my main points!!!!

Your example is a bit of a strawman. Rational expectations imply that people act to maximize the present value of their expected utility. Do you think that people do not act to maximize their expected utility?

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justin, your comment is irrelevant to the discussion.  Whether or not we model individuals as maximizing the present value of their expected utility has no bearing on the argument that's being made.  Your thinking on a different plane.

IF you had been reading the thread carefully you'd also note that I specifically take care to point out that I assume individuals attempt to do what's in their own best interest (e.g. trying to be as accurate as possible or to generate as much profit as possible). 

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StrangeLoop:
The key part of rational irrationality is that it's rational to hold irrational beliefs; why so?

Workers will, I believe, negotiate contracts to match inflation; otherwise, they're being irrationally irrational! Not all of politics is vulnerable to Caplan's critique.

I didn't say all of politics is vulnerable to Caplan's critique, did I?

On the other hand, it can be rational (in terms of cost-benefit analysis) to deny something even when it's staring you in the face.  The costs that other people aren't considering are the psychological costs of admitting to yourself that you are and have been wrong about it.

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justin, your comment is irrelevant to the discussion.  Whether or not we model individuals as maximizing the present value of their expected utility has no bearing on the argument that's being made.  Your thinking on a different plane.

IF you had been reading the thread carefully you'd also note that I specifically take care to point out that I assume individuals attempt to do what's in their own best interest (e.g. trying to be as accurate as possible or to generate as much profit as possible). 

Yes, it does. That's what rational expectations is built on. Your example of rational expecatations and actual rational expectations are two different things.

Economists who believe in rational expectations base their belief on the standard economic assumption that people behave in ways that maximize their utility (their enjoyment of life) or profits.

http://www.econlib.org/library/Enc/RationalExpectations.html

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