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Sunspots (economics)



 
 
In 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 ....
, the term sunspots (or sometimes 'a sunspot') usually refers to an 'extrinsic' random variable
Random variable

In mathematics, random variables are used in the study of Randomness and probability. They were developed to assist in the analysis of Game of chance, stochastic events, and the results of experiment by capturing only the mathematical properties necessary to answer probability questions....
, that is, a random variable that does not directly affect economic fundamentals (such as endowments
Budget constraint

A Budget constraint represents the combinations of goods and services that a consumer can purchase given current prices and his income. Consumer theory uses the concepts of a budget constraint and a preference map to analyze consumer choices....
, preferences, or technology
Production function

In economics, a production function is a Function that specifies the output of a firm, an industry, or an entire economy for all combinations of inputs....
). 'Sunspots' can also refer to the related concept of extrinsic uncertainty
Uncertainty

Uncertainty is a term used in subtly different ways in a number of fields, including philosophy, Uncertainty_principle , statistics, economics, finance, insurance, psychology, sociology, engineering, and information science....
, that is, economic uncertainty that does not come from variation in economic fundamentals. David Cass
David Cass

David Cass was a professor of economics at the University of Pennsylvania, mostly known for his contributions to General equilibrium. His most famous work was on the Ramsey growth model, which is also known as the Ramsey-Cass-Koopmans model....
 and Karl Shell
Karl Shell

Karl Lee Shell is a prominent United States theoretical economist, specializing in macroeconomics and monetary economics.Shell received a B.A....
 also coined the term "sunspots" as a suggestive and less technical way of saying "extrinsic random variable".






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In 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 ....
, the term sunspots (or sometimes 'a sunspot') usually refers to an 'extrinsic' random variable
Random variable

In mathematics, random variables are used in the study of Randomness and probability. They were developed to assist in the analysis of Game of chance, stochastic events, and the results of experiment by capturing only the mathematical properties necessary to answer probability questions....
, that is, a random variable that does not directly affect economic fundamentals (such as endowments
Budget constraint

A Budget constraint represents the combinations of goods and services that a consumer can purchase given current prices and his income. Consumer theory uses the concepts of a budget constraint and a preference map to analyze consumer choices....
, preferences, or technology
Production function

In economics, a production function is a Function that specifies the output of a firm, an industry, or an entire economy for all combinations of inputs....
). 'Sunspots' can also refer to the related concept of extrinsic uncertainty
Uncertainty

Uncertainty is a term used in subtly different ways in a number of fields, including philosophy, Uncertainty_principle , statistics, economics, finance, insurance, psychology, sociology, engineering, and information science....
, that is, economic uncertainty that does not come from variation in economic fundamentals. David Cass
David Cass

David Cass was a professor of economics at the University of Pennsylvania, mostly known for his contributions to General equilibrium. His most famous work was on the Ramsey growth model, which is also known as the Ramsey-Cass-Koopmans model....
 and Karl Shell
Karl Shell

Karl Lee Shell is a prominent United States theoretical economist, specializing in macroeconomics and monetary economics.Shell received a B.A....
 also coined the term "sunspots" as a suggestive and less technical way of saying "extrinsic random variable".

Use

The idea that arbitrary changes in expectation
Expectation

In the case of uncertainty, expectation is what is considered the most likely to happen. An expectation, which is a belief that is centred on the future, may or may not be realistic....
s might influence the economy, even if they bear no relation to fundamentals, is controversial but has been widespread in many areas of economics. For example, in the words of Arthur C. Pigou,
The varying expectations of business men... and nothing else, constitute the immediate cause and direct causes or antecedents of industrial fluctuations.


'Sunspots' have been included in economic models
Model (economics)

In economics, a model is a theory construct that represents economic Process by a set of variables and a set of logical and/or quantitative relationships between them....
 as a way of capturing these 'extrinsic' fluctuations, in fields like asset pricing, financial crises
Financial crisis

The term financial crisis is applied broadly to a variety of situations in which some financial institutions or assets suddenly lose a large part of their value....
,, business cycle
Business cycle

The term business cycle or economic cycle refers to economy-wide fluctuations in production or economic activity over several months or years, around a long-term growth trend....
s, economic growth
Economic growth

Economic growth is the increase in the amount of the goods and services produced by an economics over time. It is conventionally measured as the percent rate of increase in real gross domestic product, or real GDP....
, and 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....
. Experimental economics
Experimental economics

Experimental economics is the application of experimental methods to study economic questions. Experiments are used to test the validity of economic theories and test-bed new market mechanisms....
 researchers have demonstrated how sunspots could affect economic activity.

The name is a whimsical reference to 19th-century economist William Stanley Jevons
William Stanley Jevons

William Stanley Jevons , England economist and logician, was born in Liverpool. He expounded in his book The Theory of Political Economy the "final" utility theory of value....
, who attempted to correlate business cycle patterns with sunspot
Sunspot

A sunspot is a region on the Sun's surface that is marked by intense magnetism activity, which inhibits convection, forming areas of reduced surface temperature....
 counts (on the actual sun
Sun

The Sun , a G V star, is the star at the center of the Solar System. The Earth and other matter orbit the Sun, which by itself accounts for about 98.6% of the Solar System's mass....
) on the grounds that they might cause variations in weather and thus agricultural output. Subsequent studies found no evidence for the hypothesis that the sun influences the business cycle.

Sunspot equilibrium

In economics, a sunspot equilibrium is an economic 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....
 where the market outcome or allocation of resources varies in a way unrelated to economic fundamentals. In other words, the outcome depends on an "extrinsic" random variable
Random variable

In mathematics, random variables are used in the study of Randomness and probability. They were developed to assist in the analysis of Game of chance, stochastic events, and the results of experiment by capturing only the mathematical properties necessary to answer probability questions....
, i.e. on some random influence that matters only because people think it matters. The sunspot equilibrium concept was defined by David Cass
David Cass

David Cass was a professor of economics at the University of Pennsylvania, mostly known for his contributions to General equilibrium. His most famous work was on the Ramsey growth model, which is also known as the Ramsey-Cass-Koopmans model....
 and Karl Shell
Karl Shell

Karl Lee Shell is a prominent United States theoretical economist, specializing in macroeconomics and monetary economics.Shell received a B.A....
.

Origin of Terminology


While Cass and Shell's 1983 paper defined the term sunspot in the context of general equilibrium
General equilibrium

General equilibrium theory is a branch of theoretical economics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets....
, their use of the term sunspot (a term originally used in astronomy
Sunspot

A sunspot is a region on the Sun's surface that is marked by intense magnetism activity, which inhibits convection, forming areas of reduced surface temperature....
) alludes to the earlier econometric work of William Stanley Jevons
William Stanley Jevons

William Stanley Jevons , England economist and logician, was born in Liverpool. He expounded in his book The Theory of Political Economy the "final" utility theory of value....
, who explored the correlation between the degree of sunspot activity and the price of corn . In Jevons' work, uncertainty about sunspots could be considered intrinsic, for example, if sunspots have some demonstrable effect on agricultural productivity, or some other relevant variable. In modern economics, the term does not indicate any relationship with solar phenomena, and is instead used to describe random variables that have no impact on the preferences, allocations, or production technology of a general equilibrium
General equilibrium

General equilibrium theory is a branch of theoretical economics. It seeks to explain the behavior of supply, demand and prices in a whole economy with several or many markets....
 model. The modern theory suggests that such a nonfundamental variable might have an effect on equilibrium outcomes if it influences expectations.

Cass and Shell refer to Keynes' "animal spirits", and to the notion of self-fulfilling prophecy
Self-fulfilling prophecy

A self-fulfilling prophecy is a prediction that directly or indirectly causes itself to become true, by the very terms of the prophecy itself. Although examples of such prophecy can be found in literature as far back as ancient Greece and ancient India, it is 20th-century sociologist Robert K....
 to illuminate their use of the term "extrinsic uncertainty". Formally however they define it as any variable that does not directly affect the fundamentals of the economy.

Occurrence of Equilibria


Much work on sunspot equilibria aims to prove the possible existence of equilibria differing from a given model's competitive equilibria
Competitive equilibrium

Competitive market equilibrium is the traditional concept of economic equilibrium, appropriate for the analysis of commodity markets with flexible prices and many traders, and serving as the benchmark of efficiency in economic analysis....
, which can result from various types of extrinsic uncertainty. The sunspot equilibrium framework supplies a basis for rational expectations
Rational expectations

Rational expectations is an assumption used in many contemporary Model , and also in other areas of contemporary economics and game theory and in other applications of rational choice theory....
 modeling of excess volatility (volatility resulting from sources other than randomness in the economic fundamentals). Proper sunspot equilibria can exist in a number of economic situations, including asymmetric information, externalities in consumption
Consumption (economics)

Consumption is a common concept in economics, and gives rise to derived concepts such as consumer debt. Generally consumption is defined by opposition to Production theory basics....
 or production
Manufacturing

Manufacturing is the use of machine, tool and labor to make things for use or sale. The term may refer to a range of human activity, from handicraft to high tech, but is most commonly applied to Industry production, in which raw material are transformed into finished good on a large scale....
, imperfect competition
Imperfect competition

In economic theory, imperfect competition is the competitive situation in any market where the conditions necessary for perfect competition are not satisfied....
, incomplete markets, and restrictions on market participation.