Macroeconomics (from the Greek prefix ''makro-'' meaning "large" + ''economics'') is a branch of
economics
Economics () is the social science that studies the production, distribution, and consumption of goods and services.
Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analy ...
dealing with performance, structure, behavior, and decision-making of an
economy
An economy is an area of the production, distribution and trade, as well as consumption of goods and services. In general, it is defined as a social domain that emphasize the practices, discourses, and material expressions associated with t ...
as a whole.
For example, using interest rates, taxes, and government spending to regulate an economy's growth and stability.
This includes regional, national, and
global economies. According to a 2018 assessment by economists
Emi Nakamura and
Jón Steinsson, economic "evidence regarding the consequences of different macroeconomic policies is still highly imperfect and open to serious criticism."
Macroeconomists study topics such as
GDP (Gross Domestic Product),
unemployment (including
unemployment rates),
national income
A variety of measures of national income and output are used in economics to estimate total economic activity in a country or region, including gross domestic product (GDP), gross national product (GNP), net national income (NNI), and adjusted nati ...
,
price indices,
output,
consumption,
inflation,
saving,
investment
Investment is the dedication of money to purchase of an asset to attain an increase in value over a period of time. Investment requires a sacrifice of some present asset, such as time, money, or effort.
In finance, the purpose of investing i ...
,
energy,
international trade, and
international finance.
Macroeconomics and
microeconomics
Microeconomics is a branch of mainstream economics that studies the behavior of individuals and firms in making decisions regarding the allocation of scarce resources and the interactions among these individuals and firms. Microeconomics fo ...
are the two most general fields in economics.
The United Nations
Sustainable Development Goal 17 has a target to enhance global macroeconomic stability through policy coordination and coherence as part of the 2030 Agenda.
Development
Origins
Macroeconomics descended from the once divided fields of
business cycle theory and
monetary theory.
[Dimand (2008).] The
quantity theory of money was particularly influential prior to World War II. It took many forms, including the version based on the work of
Irving Fisher
Irving Fisher (February 27, 1867 – April 29, 1947) was an American economist, statistician, inventor, eugenicist and progressive social campaigner. He was one of the earliest American neoclassical economists, though his later work on debt def ...
:
:
In the typical view of the quantity theory,
money velocity (V) and the quantity of goods produced (Q) would be constant, so any increase in
money supply (M) would lead to a direct increase in
price level (P). The quantity theory of money was a central part of the classical theory of the economy that prevailed in the early twentieth century.
Austrian School
Ludwig Von Mises's work ''
Theory of Money and Credit'', published in 1912, was one of the first books from the
Austrian School
The Austrian School is a heterodox school of economic thought that advocates strict adherence to methodological individualism, the concept that social phenomena result exclusively from the motivations and actions of individuals. Austrian scho ...
to deal with macroeconomic topics.
Keynes and his followers
Macroeconomics, at least in its modern form,
[Blanchard (2011), 580.] began with the publication of ''
General Theory of Employment, Interest and Money
''The General Theory of Employment, Interest and Money'' is a book by English economist John Maynard Keynes published in February 1936. It caused a profound shift in economic thought, giving macroeconomics a central place in economic theory an ...
''
written by
John Maynard Keynes. When the Great Depression struck, classical economists had difficulty explaining how goods could go unsold and workers could be left unemployed. In classical theory, prices and wages would drop until the market cleared, and all goods and labor were sold. Keynes offered a new theory of economics that explained why markets might not clear, which would evolve (later in the 20th century) into a group of macroeconomic schools of thought known as
Keynesian economics – also called Keynesianism or Keynesian theory.
In Keynes' theory, the quantity theory broke down because people and businesses tend to hold on to their cash in tough economic times – a phenomenon he described in terms of
liquidity preferences. Keynes also explained how the
multiplier effect would magnify a small decrease in consumption or investment and cause declines throughout the economy. Keynes also noted the role uncertainty and
animal spirits can play in the economy.
The generation following Keynes combined the macroeconomics of the ''General Theory'' with neoclassical microeconomics to create the
neoclassical synthesis
The neoclassical synthesis (NCS), neoclassical–Keynesian synthesis, or just neo-Keynesianism was a neoclassical economics academic movement and paradigm in economics that worked towards reconciling the macroeconomic thought of John Maynard Key ...
. By the 1950s, most economists had accepted the synthesis view of the macroeconomy.
Economists like
Paul Samuelson,
Franco Modigliani,
James Tobin, and
Robert Solow developed formal Keynesian models and contributed formal theories of consumption, investment, and money demand that fleshed out the Keynesian framework.
Monetarism
Milton Friedman updated the quantity theory of money to include a role for money demand. He argued that the role of money in the economy was sufficient to explain the
Great Depression
The Great Depression (19291939) was an economic shock that impacted most countries across the world. It was a period of economic depression that became evident after a major fall in stock prices in the United States. The economic contagion ...
, and that aggregate demand oriented explanations were not necessary. Friedman also argued that monetary policy was more effective than fiscal policy; however, Friedman doubted the government's ability to "fine-tune" the economy with monetary policy. He generally favored a policy of steady growth in money supply instead of frequent intervention.
Friedman also challenged the
Phillips curve relationship between inflation and unemployment. Friedman and
Edmund Phelps (who was not a monetarist) proposed an "augmented" version of the Phillips curve that excluded the possibility of a stable, long-run tradeoff between inflation and unemployment. When the
oil shocks of the 1970s created a high unemployment and high inflation, Friedman and Phelps were vindicated. Monetarism was particularly influential in the early 1980s. Monetarism fell out of favor when central banks found it difficult to target money supply instead of interest rates as monetarists recommended. Monetarism also became politically unpopular when the central banks created recessions in order to slow inflation.
New classical
New classical macroeconomics further challenged the Keynesian school. A central development in new classical thought came when
Robert Lucas introduced
rational expectations to macroeconomics. Prior to Lucas, economists had generally used
adaptive expectations where agents were assumed to look at the recent past to make expectations about the future. Under rational expectations, agents are assumed to be more sophisticated. A consumer will not simply assume a 2% inflation rate just because that has been the average the past few years; they will look at current monetary policy and economic conditions to make an informed forecast. When new classical economists introduced rational expectations into their models, they showed that monetary policy could only have a limited impact.
Lucas also made an
influential critique of Keynesian empirical models. He argued that forecasting models based on empirical relationships would keep producing the same predictions even as the underlying model generating the data changed. He advocated models based on fundamental economic theory that would, in principle, be structurally accurate as economies changed. Following Lucas's critique, new classical economists, led by
Edward C. Prescott
Edward Christian Prescott (December 26, 1940 – November 6, 2022) was an American economist. He received the Nobel Memorial Prize in Economics in 2004, sharing the award with Finn E. Kydland, "for their contributions to dynamic macroeconomics: ...
and
Finn E. Kydland, created
real business cycle (RB C) models of the macro economy.
[Blanchard (2011), 587.]
RB C models were created by combining fundamental equations from neo-classical microeconomics. In order to generate macroeconomic fluctuations, RB C models explained recessions and unemployment with changes in technology instead of changes in the markets for goods or money. Critics of RB C models argue that money clearly plays an important role in the economy, and the idea that technological regress can explain recent recessions is implausible.
However, technological shocks are only the more prominent of a myriad of possible shocks to the system that can be modeled. Despite questions about the theory behind RB C models, they have clearly been influential in economic methodology.
New Keynesian response
New Keynesian economists responded to the new classical school by adopting rational expectations and focusing on developing micro-founded models that are immune to the Lucas critique.
Stanley Fischer
Stanley Fischer ( he, סטנלי פישר; born October 15, 1943) is an Israeli American economist who served as the 20th Vice Chair of the Federal Reserve from 2014 to 2017. Fisher previously served as the 8th governor of the Bank of Israel fro ...
and
John B. Taylor produced early work in this area by showing that monetary policy could be effective even in models with rational expectations when contracts locked in wages for workers. Other new
Keynesian economists
Keynesian economics ( ; sometimes Keynesianism, named after British economist John Maynard Keynes) are the various macroeconomic theories and models of how aggregate demand (total spending in the economy) strongly influences economic output a ...
, including
Olivier Blanchard,
Julio Rotemberg,
Greg Mankiw,
David Romer, and
Michael Woodford, expanded on this work and demonstrated other cases where inflexible prices and wages led to monetary and fiscal policy having real effects.
Like classical models, new classical models had assumed that prices would be able to adjust perfectly and monetary policy would only lead to price changes. New Keynesian models investigated sources of
sticky prices and wages due to
imperfect competition, which would not adjust, allowing monetary policy to impact quantities instead of prices.
By the late 1990s, economists had reached a rough consensus. The nominal rigidity of new Keynesian theory was combined with rational expectations and the RBC methodology to produce
dynamic stochastic general equilibrium (DSGE) models. The fusion of elements from different schools of thought has been dubbed the
new neoclassical synthesis. These models are now used by many central banks and are a core part of contemporary macroeconomics.
New Keynesian economics, which developed partly in response to new classical economics, strives to provide microeconomic foundations to Keynesian economics by showing how imperfect markets can justify demand management.
Macroeconomic models
Aggregate demand–aggregate supply
The
AD-AS model has become the standard textbook model for explaining the macroeconomy. This model shows the price level and level of real output given the equilibrium in
aggregate demand
In macroeconomics, aggregate demand (AD) or domestic final demand (DFD) is the total demand for final goods and services in an economy at a given time. It is often called effective demand, though at other times this term is distinguished. This i ...
and
aggregate supply. The aggregate demand curve's downward slope means that more output is demanded at lower price levels. The downward slope is the result of three effects: the
Pigou or real balance effect, which states that as real prices fall, real wealth increases, resulting in higher consumer demand of goods; the
Keynes or interest rate effect, which states that as prices fall, the demand for money decreases, causing interest rates to decline and borrowing for investment and consumption to increase; and the net export effect, which states that as prices rise, domestic goods become comparatively more expensive to foreign consumers, leading to a decline in exports.
In the conventional Keynesian use of the AS-AD model, the aggregate supply curve is horizontal at low levels of output and becomes inelastic near the point of
potential output, which corresponds with
full employment
Full employment is a situation in which there is no cyclical or unemployment#Cyclical unemployment, deficient-demand unemployment. Full employment does not entail the disappearance of all unemployment, as other kinds of unemployment, namely Structu ...
. Since the economy cannot produce beyond the potential output, any AD expansion will lead to higher price levels instead of higher output.
The AD–AS diagram can model a variety of macroeconomic phenomena, including inflation. Changes in the non-price level factors or determinants cause changes in aggregate demand and shifts of the entire aggregate demand (AD) curve. When demand for goods exceeds supply, there is an
inflationary gap where
demand-pull inflation occurs and the AD curve shifts upward to a higher price level. When the economy faces higher costs,
cost-push inflation occurs and the AS curve shifts upward to higher price levels. The AS–AD diagram is also widely used as an instructive tool to model the effects of various macroeconomic policies.
IS-LM
The
IS–LM model gives the underpinnings of aggregate demand (itself discussed above). It answers the question "At any given price level, what is the quantity of goods demanded?". This model shows what combination of interest rates and output will ensure equilibrium in both the goods and money markets. The goods market is modeled as giving equality between investment and public and private saving (IS), and the money market is modeled as giving equilibrium between the money supply and
liquidity preference.
The IS curve consists of the points (combinations of income and interest rate) where investment, given the interest rate, is equal to public and private saving, given output The IS curve is downward sloping because output and the interest rate have an inverse relationship in the goods market: as output increases, more income is saved, which means interest rates must be lower to spur enough investment to match saving.
The LM curve is upward sloping because the interest rate and output have a positive relationship in the money market: as income (identically equal to output) increases, the demand for money increases, resulting in a rise in the interest rate in order to just offset the incipient rise in money demand.
The IS-LM model is often used to demonstrate the effects of monetary and fiscal policy. Textbooks frequently use the IS-LM model, but it does not feature the complexities of most modern macroeconomic models. Nevertheless, these models still feature similar relationships to those in IS-LM.
Growth models
The
neoclassical growth model of
Robert Solow has become a common textbook model for explaining economic growth in the long-run. The model begins with a
production function where national output is the product of two inputs: capital and labor. The Solow model assumes that labor and capital are used at constant rates without the fluctuations in unemployment and capital utilization commonly seen in business cycles.
An increase in output, or economic growth, can only occur because of an increase in the capital stock, a larger population, or technological advancements that lead to higher productivity (
total factor productivity). An increase in the savings rate leads to a temporary increase as the economy creates more capital, which adds to output. However, eventually the depreciation rate will limit the expansion of capital: savings will be used up replacing depreciated capital, and no savings will remain to pay for an additional expansion in capital. Solow's model suggests that economic growth in terms of output per capita depends solely on technological advances that enhance productivity.
In the 1980s and 1990s
endogenous growth theory
Endogenous growth theory holds that economic growth is primarily the result of endogenous and not external forces. Endogenous growth theory holds that investment in human capital, innovation, and knowledge are significant contributors to econom ...
arose to challenge neoclassical growth theory. This group of models explains economic growth through other factors, such as increasing returns to scale for capital and
learning-by-doing, that are endogenously determined instead of the exogenous technological improvement used to explain growth in Solow's model. The quantity theory by Russian economist
Vladimir Pokrovskii explains growth as a consequence of the dynamics of three factors, among them capital service as one of independent production factors in line with labour and capital.
[Pokrovski, V.N. (2003). Energy in the theory of production. Energy 28, 769-788.] Capital service as production factor was interpreted by Ayres and Warr as useful work of production equipment, which makes it possible to reproduce historical rates of economic growth with considerable precision
[Pokrovski, V.N. (2003). Energy in the theory of production. Energy 28, 769-788.]. and without recourse to exogenous and unexplained technological progress, thereby overcoming the major flaw of the Solow theory of economic growth.
Humanity's economic system as a subsystem of the global environment
In the macroeconomic models in
ecological economics, the economic system is a subsystem of the environment. In this model, the
circular flow of income diagram is replaced in ecological economics by a more complex flow diagram reflecting the input of solar energy, which sustains natural inputs and
environmental services which are then used as units of
production. Once consumed, natural inputs pass out of the economy as pollution and waste. The potential of an environment to provide services and materials is referred to as an "environment's source function", and this function is depleted as resources are consumed or pollution contaminates the resources. The "sink function" describes an environment's ability to absorb and render harmless waste and pollution: when waste output exceeds the limit of the sink function, long-term damage occurs.
[Harris J. (2006). ''Environmental and Natural Resource Economics: A Contemporary Approach''. Houghton Mifflin Company.] Some persistent pollutants, such as some organic pollutants and nuclear waste are absorbed very slowly or not at all; ecological economists emphasize minimizing "cumulative pollutants".
[ Pollutants affect human health and the health of the ecosystem.
]
Basic macroeconomic concepts
Macroeconomics encompasses a variety of concepts and variables, but there are three central topics for macroeconomic research. Macroeconomic theories usually relate the phenomena of output, unemployment, and inflation. Outside of macroeconomic theory, these topics are also important to all economic agents including workers, consumers, and producers.
Output and income
National output is the total amount of everything a country produces in a given period of time. Everything that is produced and sold generates an equal amount of income. The total output of the economy is measured GDP per person. The output and income are usually considered equivalent and the two terms are often used interchangeably, output changes into income. Output can be measured or it can be viewed from the production side and measured as the total value of final goods and services or the sum of all value added in the economy.
Macroeconomic output is usually measured by gross domestic product
Gross domestic product (GDP) is a money, monetary Measurement in economics, measure of the market value of all the final goods and services produced and sold (not resold) in a specific time period by countries. Due to its complex and subjec ...
(GDP) or one of the other national accounts. Economists interested in long-run increases in output, study economic growth. Advances in technology, accumulation of machinery and other capital
Capital may refer to:
Common uses
* Capital city, a municipality of primary status
** List of national capital cities
* Capital letter, an upper-case letter Economics and social sciences
* Capital (economics), the durable produced goods used f ...
, and better education and human capital
Human capital is a concept used by social scientists to designate personal attributes considered useful in the production process. It encompasses employee knowledge, skills, know-how, good health, and education. Human capital has a substantial ...
, are all factors that lead to increase economic output over time. However, output does not always increase consistently over time. Business cycles can cause short-term drops in output called recessions. Economists look for macroeconomic policies that prevent economies from slipping into recessions, and that lead to faster long-term growth.
Unemployment
The amount of unemployment in an economy is measured by the unemployment rate, i.e. the percentage of workers without jobs in the labor force. The unemployment rate in the labor force only includes workers actively looking for jobs. People who are retired, pursuing education, or discouraged from seeking work by a lack of job prospects are excluded.
Unemployment can be generally broken down into several types that are related to different causes.
* Classical unemployment theory suggests that unemployment occurs when wages are too high for employers to be willing to hire more workers. Other more modern economic theories suggest that increased wages actually decrease unemployment by creating more consumer demand. According to these more recent theories, unemployment results from reduced demand for the goods and services produced through labor and suggest that only in markets where profit margins are very low, and in which the market will not bear a price increase of product or service, will higher wages result in unemployment.
* Consistent with classical unemployment theory, frictional unemployment
Frictional unemployment is a form of unemployment reflecting the gap between someone voluntarily leaving a job and finding another. As such, it is sometimes called search unemployment, though it also includes gaps in employment when transferring ...
occurs when appropriate job vacancies exist for a worker, but the length of time needed to search for and find the job leads to a period of unemployment.
* Structural unemployment
Structural unemployment is a form of involuntary unemployment caused by a mismatch between the skills that workers in the economy can offer, and the skills demanded of workers by employers (also known as the skills gap). Structural unemployment i ...
covers a variety of possible causes of unemployment including a mismatch between workers' skills and the skills required for open jobs. Large amounts of structural unemployment commonly occur when an economy shifts to focus on new industries and workers find their previous set of skills are no longer in demand. Structural unemployment is similar to frictional unemployment as both reflect the problem of matching workers with job vacancies, but structural unemployment also covers the time needed to acquire new skills in addition to the short-term search process.
* While some types of unemployment may occur regardless of the condition of the economy, cyclical unemployment occurs when growth stagnates. Okun's law represents the empirical relationship between unemployment and economic growth. The original version of Okun's law states that a 3% increase in output would lead to a 1% decrease in unemployment.
Inflation and deflation
A general price increase across the entire economy is called inflation. When prices decrease, there is deflation. Economists measure these changes in prices with price indexes. Inflation can occur when an economy becomes overheated and grows too quickly. Similarly, a declining economy can lead to deflation.
Central bank
A central bank, reserve bank, or monetary authority is an institution that manages the currency and monetary policy of a country or monetary union,
and oversees their commercial banking system. In contrast to a commercial bank, a centra ...
ers, who manage a country's money supply, try to avoid changes in price level by using monetary policy. Raising interest rates or reducing the supply of money in an economy will reduce inflation. Inflation can lead to increased uncertainty and other negative consequences. Deflation can lower economic output. Central bankers try to stabilize prices to protect economies from the negative consequences of price changes.
Changes in price level may be the result of several factors. The quantity theory of money holds that changes in price level are directly related to changes in the money supply. Most economists believe that this relationship explains long-run changes in the price level. Short-run fluctuations may also be related to monetary factors, but changes in aggregate demand and aggregate supply can also influence price level. For example, a decrease in demand due to a recession can lead to lower price levels and deflation. A negative supply shock, such as an oil crisis, lowers aggregate supply and can cause inflation.
Macroeconomic policy
Macroeconomic policy is usually implemented through two sets of tools: fiscal and monetary policy. Both forms of policy are used to stabilize the economy, which can mean boosting the economy to the level of GDP consistent with full employment.[Mayer, 495.] Macroeconomic policy focuses on limiting the effects of the business cycle to achieve the economic goals of price stability, full employment, and growth.
According to a 2018 assessment by economists Emi Nakamura and Jón Steinsson, economic "evidence regarding the consequences of different macroeconomic policies is still highly imperfect and open to serious criticism." Nakamura and Steinsson write that macroeconomics struggles with long-term predictions, which is a result of the high complexity of the systems it studies.
Monetary policy
Central bank
A central bank, reserve bank, or monetary authority is an institution that manages the currency and monetary policy of a country or monetary union,
and oversees their commercial banking system. In contrast to a commercial bank, a centra ...
s implement monetary policy by controlling the money supply through several mechanisms. Typically, central banks take action by issuing money to buy bonds (or other assets), which boosts the supply of money and lowers interest rates, or, in the case of contractionary monetary policy, banks sell bonds and take money out of circulation. Usually policy is not implemented by directly targeting the supply of money.
Central banks continuously shift the money supply to maintain a targeted fixed interest rate. Some of them allow the interest rate to fluctuate and focus on targeting inflation rates instead. Central banks generally try to achieve high output without letting loose monetary policy that create large amounts of inflation.
Conventional monetary policy can be ineffective in situations such as a liquidity trap
A liquidity trap is a situation, described in Keynesian economics, in which, "after the rate of interest has fallen to a certain level, liquidity preference may become virtually absolute in the sense that almost everyone prefers holding cash rathe ...
. When interest rates and inflation are near zero, the central bank cannot loosen monetary policy through conventional means.
Central banks can use unconventional monetary policy such as quantitative easing to help increase output. Instead of buying government bonds, central banks can implement quantitative easing by buying not only government bonds, but also other assets such as corporate bonds, stocks, and other securities. This allows lower interest rates for a broader class of assets beyond government bonds. In another example of unconventional monetary policy, the United States Federal Reserve recently made an attempt at such a policy with Operation Twist. Unable to lower current interest rates, the Federal Reserve lowered long-term interest rates by buying long-term bonds and selling short-term bonds to create a flat yield curve.
Fiscal policy
Fiscal policy is the use of government's revenue and expenditure as instruments to influence the economy. Examples of such tools are expenditure, taxes, debt
Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, which differentiates it from an immediate purchase. The d ...
.
For example, if the economy is producing less than potential output, government spending can be used to employ idle resources and boost output. Government spending does not have to make up for the entire output gap. There is a multiplier effect that boosts the impact of government spending. For instance, when the government pays for a bridge, the project not only adds the value of the bridge to output, but also allows the bridge workers to increase their consumption and investment, which helps to close the output gap.
The effects of fiscal policy can be limited by crowding out. When the government takes on spending projects, it limits the amount of resources available for the private sector to use. Crowding out occurs when government spending simply replaces private sector output instead of adding additional output to the economy. Crowding out also occurs when government spending raises interest rates, which limits investment. Defenders of fiscal stimulus argue that crowding out is not a concern when the economy is depressed, plenty of resources are left idle, and interest rates are low.
Fiscal policy can be implemented through automatic stabilizers. Automatic stabilizers do not suffer from the policy lags of discretionary fiscal policy. Automatic stabilizers use conventional fiscal mechanisms but take effect as soon as the economy takes a downturn: spending on unemployment benefits automatically increases when unemployment rises and, in a progressive income tax system, the effective tax rate automatically falls when incomes decline.
Comparison
Economists usually favor monetary over fiscal policy because it has two major advantages. First, monetary policy is generally implemented by independent central banks instead of the political institutions that control fiscal policy. Independent central banks are less likely to make decisions based on political motives. Second, monetary policy suffers shorter inside lags and outside lags than fiscal policy. Additionally, central banks are able to make quick decisions with rapid implementation. Whereas fiscal policy will most likely move slowly through government bureaucracy and take longer to fully implement into the economy.
See also
* Business cycle accounting Business cycle accounting is an accounting procedure used in macroeconomics to decompose business cycle fluctuations into contributing factors. The procedure was introduced by V. V. Chari, Patrick Kehoe, and Ellen McGrattan but is similar to techn ...
* Dynamic stochastic general equilibrium
* Economic development
In the economics study of the public sector, economic and social development is the process by which the economic well-being and quality of life of a nation, region, local community, or an individual are improved according to targeted goals a ...
* Growth accounting
Notes
References
*
* Blanchard, Olivier. (2009).
The State of Macro
" ''Annual Review of Economics'' 1(1): 209-228.
*
* Blaug, Mark (1986), ''Great Economists before Keynes'', Brighton: Wheatsheaf.
*
*
* Bouman, John
Principles of Macroeconomics – free fully comprehensive Principles of Microeconomics and Macroeconomics texts
Columbia, Maryland, 2011
*
*
*
*
*
* Leijonhufvud, Axe
''The Wicksell Connection: Variation on a Theme''
UCLA. November, 1979.
*
*
*
*
*
*
* Nakamura, Emi and Jón Steinsson. (2018).
Identification in Macroeconomics.
''Journal of Economic Perspectives'' 32(3): 59-86.
*
*
* Reed, Jacob (2016)
AP Economics Review
Macroeconomics.
*
* Snowdon, Brian, and Howard R. Vane, ed. (2002). ''An Encyclopedia of Macroeconomics''
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