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Rational expectations



 
 
Rational expectations is an assumption used in many contemporary macroeconomic models
Model (macroeconomics)

A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...
, and also in other areas of contemporary economics
Economics

File:Ballard Farmers' Market - vegetables.jpgEconomics is the Social sciences that studies the Production theory basics, Distribution , and Consumption of Good and Service ....
 and game theory
Game theory

Game theory is a branch of applied mathematics that is used in the social sciences , biology, engineering, political science, international relations, computer science , and philosophy....
 and in other applications of rational choice theory
Rational choice theory

Rational choice theory, also known as rational action theory, is a framework for understanding and often Model social and economic behavior....
.

Since most macroeconomic models today study decisions over many periods, the expectations of workers, consumers, and firms about future economic conditions are an essential part of the model. How to model these expectations has long been controversial, and it is well known that the macroeconomic predictions of the model may differ depending on the assumptions made about expectations (see Cobweb model
Cobweb model

The cobweb model or cobweb theory is an economic model that explains why prices might be subject to periodic fluctuations in certain types of markets....
).






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Rational expectations is an assumption used in many contemporary macroeconomic models
Model (macroeconomics)

A model in macroeconomics is a logical, mathematical, and/or computational framework designed to describe the operation of a national or regional economy, and especially the dynamics of aggregate quantities such as the total amount of goods and services produced, total income earned, the level of employment of productive resources, and the le...
, and also in other areas of contemporary economics
Economics

File:Ballard Farmers' Market - vegetables.jpgEconomics is the Social sciences that studies the Production theory basics, Distribution , and Consumption of Good and Service ....
 and game theory
Game theory

Game theory is a branch of applied mathematics that is used in the social sciences , biology, engineering, political science, international relations, computer science , and philosophy....
 and in other applications of rational choice theory
Rational choice theory

Rational choice theory, also known as rational action theory, is a framework for understanding and often Model social and economic behavior....
.

Since most macroeconomic models today study decisions over many periods, the expectations of workers, consumers, and firms about future economic conditions are an essential part of the model. How to model these expectations has long been controversial, and it is well known that the macroeconomic predictions of the model may differ depending on the assumptions made about expectations (see Cobweb model
Cobweb model

The cobweb model or cobweb theory is an economic model that explains why prices might be subject to periodic fluctuations in certain types of markets....
). To assume rational expectations is to assume that agents
Agent (economics)

In economics, an agent is an actor or decision maker in a Mathematical model. Typically, the actor makes decisions by solving an Optimization problem....
' expectations are correct on average. In other words, although the future is not fully predictable, agents' expectations are assumed not to be systematically biased
Bias (statistics)

In statistics, the term bias is used for describing several different concepts:* A biased sample is one in which some members of the population are more likely to be included than others....
 and use all relevant information in forming expectations of economic variables.

This way of modeling expectations was originally proposed by John F. Muth
John Muth

John Fraser Muth was an American economist. He is known as "the father of the rational expectations revolution in economics", primarily due to his article "Rational Expectations and the Theory of Price Movements" from 1961....
 (1961) and later became influential when it was used by Robert E. Lucas Jr and others. Modeling expectations is crucial in theories like new classical macroeconomics, new Keynesian macroeconomics
New Keynesian economics

New Keynesian economics is a school of contemporary macroeconomics that strives to provide microfoundations for Keynesian economics. It developed partly as a response to criticisms of Keynesian macroeconomics by adherents of New classical macroeconomics....
, and the efficient market hypothesis
Efficient market hypothesis

In finance, the efficient-market hypothesis asserts that financial markets are "informationally efficient", or that prices on traded assets, e.g., stocks, bonds, or property, already reflect all known information....
 of contemporary finance, which study the dynamics of the economy over time. For example, negotiations between workers and firms will be influenced by the expected level of inflation
Inflation

In economics, inflation is a rise in the general price level of goods and services in an economy over a period of time. The term "inflation" once referred to increases in the money supply ; however, economic debates about the relationship between money supply and price levels have led to its primary use today in describing price inflatio...
, and the value of a share of stock is dependent on the expected future income from that stock.

Theory

Rational expectations theory defines this kind of expectations as being identical to the best guess of the future (the optimal forecast) that uses all available information. However, without further assumptions, this theory of expectations determination makes no predictions about human behavior and is empty. Thus, it is assumed that outcomes that are being forecast do not differ systematically from the market equilibrium
Economic equilibrium

In economics, economic equilibrium is simply a state of the world where economic forces are balanced and in the absence of external influences the values of economic variables will not change....
 results. As a result, rational expectations do not differ systematically or predictably from equilibrium results. That is, it assumes that people do not make systematic errors when predicting the future, and deviations from perfect foresight are only random. In an economic model, this is typically modelled by assuming that the expected value of a variable is equal to the value predicted by the model, plus a random error term representing the role of ignorance and mistakes.

For example, suppose that P is the equilibrium price in a simple market, determined by supply and demand
Supply and demand

...
. The theory of rational expectations says that the actual price will only deviate from the expectation if there is an 'information shock' caused by information unforeseeable at the time expectations were formed. In other words ex ante the actual price is equal to its rational expectation.:

P = P* + e

E(P) = P*

where P* is the rational expectation and e is the random error term, which has an expected value of zero, and is independent of P*.

Rational expectations theories were developed in response to perceived flaws in theories based on adaptive expectations
Adaptive expectations

In economics, adaptive expectations means that people form their expectations about what will happen in the future based on what has happened in the past....
. Under adaptive expectations, expectations of the future value of an economic variable are based on past values. For example, people would be assumed to predict inflation by looking at inflation last year and in previous years. Under adaptive expectations, if the economy suffers from constantly rising inflation rates (perhaps due to government policies), people would be assumed to always underestimate inflation. This may be regarded as unrealistic - surely rational individuals would sooner or later realise the trend and take it into account in forming their expectations? Further, models of adaptive expectations never attain equilibrium, instead only moving toward it asymptotically.

The hypothesis of rational expectations addresses this criticism by assuming that individuals take all available information into account in forming expectations. Though expectations may turn out incorrect, they will not deviate systematically from the expected values.

The rational expectations hypothesis has been used to support some radical conclusions about economic policymaking. An example is the Policy Ineffectiveness Proposition
Policy Ineffectiveness Proposition

The Policy Ineffectiveness Proposition is a new classical theory proposed in 1976 by Thomas J. Sargent and Neil Wallace based upon the theory of rational expectations....
 developed by Thomas Sargent and Neil Wallace. If the Federal Reserve attempts to lower unemployment through expansionary monetary policy
Monetary policy

Monetary policy is the process by which the government, central bank, or monetary authority of a country controls the supply of money, availability of money, and cost of money or rate of interest, in order to attain a set of objectives oriented towards the growth and stability of the economy....
 economic agents will anticipate the effects of the change of policy and raise their expectations of future inflation accordingly. This in turn will counteract the expansionary effect of the increased money supply. All that the government can do is raise the inflation rate, not employment. This is a distinctly New Classical outcome. During the 1970s rational expectations appeared to have made previous macroeconomic theory largely obsolete, which culminated with the Lucas critique
Lucas critique

The Lucas Critique, named for Robert Lucas Jr's work on macroeconomic policymaking, says that it is naive to try to predict the effects of a change in economic policy entirely on the basis of relationships observed in historical data, especially highly Aggregate data historical data....
. However, rational expectations theory has been widely adopted throughout modern macroeconomics as a modelling assumption thanks to the work of New Keynesians such as Stanley Fischer
Stanley Fischer

Stanley "Stan" Fischer is an economist and the current Governor of the Bank of Israel.Born in Northern Rhodesia on 15 October, 1943, he obtained his Bachelor of Science and Master's degree at the London School of Economics from 1962-1966 and his Doctor of Philosophy at MIT in 1969, all in economics....
.

Rational expectations theory is the basis for the efficient market hypothesis
Efficient market hypothesis

In finance, the efficient-market hypothesis asserts that financial markets are "informationally efficient", or that prices on traded assets, e.g., stocks, bonds, or property, already reflect all known information....
 (efficient market theory). If a security's price does not reflect all the information about it, then there exist "unexploited profit opportunities": someone can buy (or sell) the security to make a profit, thus driving the price toward equilibrium. In the strongest versions of these theories, where all profit opportunities have been exploited, all prices in financial markets are correct and reflect market fundamentals
Fundamental analysis

Fundamental analysis of a business involves analyzing its financial statements and health, its management and competitive advantages, and its competitors and markets....
 (such as future streams of profits and dividends). Each financial investment is as good as any other, while a security's price reflects all information about its intrinsic value.

Criticisms

The hypothesis is often criticised as an unrealistic model of how expectations are formed. First, truly rational expectations would take into account the fact that information about the future is costly. The "optimal forecast" may be the best not because it is accurate but because it is too expensive to attain even close to accuracy. Followers of the Austrian School
Austrian School

The Austrian School is a Heterodox economics school of economics. It emphasizes the spontaneous organizing power of the price mechanism, holds that the complexity of subjective human choices makes mathematical modelling of the evolving market extremely difficult and therefore advocates a laissez faire approach to the economy....
 and John Maynard Keynes go further, pointing to the fundamental uncertainty about what will happen in the future. That is, the future cannot be predicted, so that no expectations can be truly "rational."

Further, the models of Muth and Lucas (and the strongest version of the efficient markets hypothesis) assume that at any specific time, a market or the economy has only one equilibrium (which was determined ahead of time), so that people form their expectations around this unique equilibrium. Muth's math (sketched above) assumed that P* was unique. Lucas assumed that equilibrium corresponded to a unique "full employment
Full employment

In macroeconomics, full employment is a condition of the national economy, where nearly all persons willing and able to work at the prevailing wages and working conditions are able to do so....
" level (potential output
Potential output

In economics, potential output refers to the highest level of real vs. nominal in economics Gross Domestic Product output that can be sustained over the long term....
) -- corresponding to a unique NAIRU
NAIRU

The term NAIRU is an acronym for Non-Accelerating inflation Rate of unemployment. It is a concept in economics theory significant in the interplay of macroeconomics and microeconomics....
 or natural rate of unemployment
Natural rate of unemployment

The natural rate of unemployment is a concept of Economics activity developed in particular by Milton Friedman and Edmund Phelps in the 1960s, both recipients of the Nobel Prize in Economics....
. If there is more than one possible equilibrium at any time then the more interesting implications of the theory of rational expectations do not apply. In fact, expectations would determine the nature of the equilibrium attained, reversing the line of causation posited by rational expectations theorists.

A further problem relates to the application of the rational expectations hypothesis to aggregate behavior. It is well known that assumptions about individual behavior do not carry over to aggregate behavior (Sonnenschein-Mantel-Debreu theorem
Sonnenschein-Mantel-Debreu Theorem

The Sonnenschein-Mantel-Debreu Theorem is a result in General equilibrium economics. It states that the system of excess demand functions pertaining to an economy with sufficiently many agents is in no way restricted by the usual rationality restrictions pertaining to the demands of the individuals making up the economy....
). The same holds true for rationality assumptions: Even if all individuals have rational expectations, the representative household describing these behaviors may exhibit behavior that does not satisfy rationality assumptions (Janssen 1993). Hence the rational expectations hypothesis, as applied to the representative household, is unrelated to the presence or absence of rational expectations on the micro level and lacks, in this sense, a microeconomic foundation.

It can be argued that it is difficult to apply the standard efficient market hypothesis
Efficient market hypothesis

In finance, the efficient-market hypothesis asserts that financial markets are "informationally efficient", or that prices on traded assets, e.g., stocks, bonds, or property, already reflect all known information....
 (efficient market theory) to understand the stock market bubble
Stock market bubble

A stock market bubble is a type of economic bubble taking place in stock markets when price of stocks rise and become overvalued by any measure of stock valuation....
 that ended in 2000 and collapsed thereafter. (Advocates of Rational Expectations may say that the problem of ascertaining all the pertinent effects of the stock-market crash is a great challenge.)

Sociologists tend to criticize the theory based on philosopher Karl Popper
Karl Popper

Knight Bachelor Karl Raimund Popper Order of the Companions of Honour, Fellow of the Royal Society, Fellow of the British Academy was an Austrian and British philosopher and a professor at the London School of Economics....
's criterion of falsifiability
Falsifiability

Falsifiability is the logical possibility that an assertion can be shown false by an observation or a physical experiment. That something is "falsifiable" does not mean it is false; rather, that if it is false, then this can be shown by observation or experiment....
. They note that many economists, upon being confronted with empirical
Empirical

The word empirical denotes information gained by means of observation, experience, or experiment, as opposed to theory. A central concept in science and the scientific method is that all evidence must be empirical, or empirically based, that is, dependent on evidence or Logical consequence that are observable by the senses....
 data that goes against the "rational" theory, can simply modify their theories without ever touching the basic thesis of rational expectation. Furthermore, social scientists in general criticize the movement of this theory into other fields such as political science
Political science

Political science is a social science concerned with the theory and practice of politics and the description and analysis of political systems and political behavior....
. In his book Essence of Decision
Essence of Decision

Essence of Decision: Explaining the Cuban Missile Crisis is an analysis, by political scientist Graham T. Allison, of the Cuban Missile Crisis....
,
political scientist Graham T. Allison
Graham T. Allison

Graham Tillett Allison, Jr. is an United States political scientist and professor at the John F. Kennedy School of Government at Harvard. He is renowned for his contribution in the late 1960s and early 1970s to the bureaucratic analysis of decision making, especially during times of crisis....
 specifically attacked the rational expectations theory.

Some economists now use the adaptive expectations
Adaptive expectations

In economics, adaptive expectations means that people form their expectations about what will happen in the future based on what has happened in the past....
 model, but then complement it with ideas based on the rational expectations theory. For example, an anti-inflation campaign by the central bank is more effective if it is seen as "credible," i.e., if it convinces people that it will "stick to its guns." The bank can convince people to lower their inflationary expectations, which implies less of a feedback into the actual inflation rate. (An advocate of Rational Expectations would say, rather, that the pronouncements of central banks are facts that must be incorporated into one's forecast because central banks can act independently). Those studying financial markets similarly apply the efficient-markets hypothesis but keep the existence of exceptions in mind.

A specific field of economics, called behavioral economics, has emerged from those considerations, of which Daniel Kahneman
Daniel Kahneman

Daniel Kahneman With Amos Tversky and others, Kahneman established a cognitive basis for common human errors using heuristics and biases , and developed Prospect theory ....
 (Nobel prize 2002) is one of the pioneers and main theorist.

See also


  • Adaptive expectations
    Adaptive expectations

    In economics, adaptive expectations means that people form their expectations about what will happen in the future based on what has happened in the past....
  • Game theory
    Game theory

    Game theory is a branch of applied mathematics that is used in the social sciences , biology, engineering, political science, international relations, computer science , and philosophy....
  • Dynamic stochastic general equilibrium
    Dynamic stochastic general equilibrium

    Dynamic stochastic general equilibrium modeling is a branch of applied general equilibrium theory that is increasingly influential in contemporary macroeconomics....


External links

  • by Thomas Sargent
    Thomas J. Sargent

    Thomas John "Tom" Sargent is an United States economist specializing in the fields of macroeconomics, monetary economics and time series econometrics....
     in the Concise Encyclopedia of Economics.