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In
economics Economics () is a behavioral science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and interac ...
and
political science Political science is the scientific study of politics. It is a social science dealing with systems of governance and Power (social and political), power, and the analysis of political activities, political philosophy, political thought, polit ...
, fiscal policy is the use of
government revenue Government revenue or national revenue is money received by a government from Tax revenue, taxes and Non-tax revenue, non-tax sources to enable it, assuming full resource employment, to undertake non-inflationary public expenditure. Government re ...
collection (
tax A tax is a mandatory financial charge or levy imposed on an individual or legal entity by a governmental organization to support government spending and public expenditures collectively or to regulate and reduce negative externalities. Tax co ...
es or
tax cuts A tax cut typically represents a decrease in the amount of money taken from taxpayers to go towards government revenue. This decreases the revenue of the government and increases the disposable income of taxpayers. Tax rate cuts usually refer ...
) and
expenditure An expense is an item requiring an outflow of money, or any form of fortune in general, to another person or group as payment for an item, service, or other category of costs. For a tenant, rent is an expense. For students or parents, tuition i ...
to influence a country's economy. The use of government revenue expenditures to influence
macroeconomic Macroeconomics is a branch of economics that deals with the performance, structure, behavior, and decision-making of an economy as a whole. This includes regional, national, and global economies. Macroeconomists study topics such as output/ GDP ...
variables developed in reaction to the
Great Depression The Great Depression was a severe global economic downturn from 1929 to 1939. The period was characterized by high rates of unemployment and poverty, drastic reductions in industrial production and international trade, and widespread bank and ...
of the 1930s, when the previous
laissez-faire ''Laissez-faire'' ( , from , ) is a type of economic system in which transactions between private groups of people are free from any form of economic interventionism (such as subsidies or regulations). As a system of thought, ''laissez-faire'' ...
approach to economic management became unworkable. Fiscal policy is based on the theories of the British economist
John Maynard Keynes John Maynard Keynes, 1st Baron Keynes ( ; 5 June 1883 – 21 April 1946), was an English economist and philosopher whose ideas fundamentally changed the theory and practice of macroeconomics and the economic policies of governments. Originall ...
, whose
Keynesian economics Keynesian economics ( ; sometimes Keynesianism, named after British economist John Maynard Keynes) are the various macroeconomics, macroeconomic theories and Economic model, models of how aggregate demand (total spending in the economy) strongl ...
theorised that government changes in the levels of taxation and government spending influence
aggregate demand In economics, 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 is the ...
and the level of economic activity. Fiscal and
monetary policy Monetary policy is the policy adopted by the monetary authority of a nation to affect monetary and other financial conditions to accomplish broader objectives like high employment and price stability (normally interpreted as a low and stable rat ...
are the key strategies used by a country's government and
central bank A central bank, reserve bank, national bank, or monetary authority is an institution that manages the monetary policy of a country or monetary union. In contrast to a commercial bank, a central bank possesses a monopoly on increasing the mo ...
to advance its economic objectives. The combination of these policies enables these authorities to target inflation and to increase employment. In modern economies, inflation is conventionally considered "healthy" in the range of 2%–3%. Additionally, it is designed to try to keep
GDP Gross domestic product (GDP) is a monetary measure of the total market value of all the final goods and services produced and rendered in a specific time period by a country or countries. GDP is often used to measure the economic performance o ...
growth at 2%–3% and the unemployment rate near the natural unemployment rate of 4%–5%. This implies that fiscal policy is used to stabilise the economy over the course of the
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
. Changes in the level and composition of taxation and government spending can affect macroeconomic variables, including: *
aggregate demand In economics, 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 is the ...
and the level of economic activity *
saving Saving is income not spent, or deferred Consumption (economics), consumption. In economics, a broader definition is any income not used for immediate consumption. Saving also involves reducing expenditures, such as recurring Cost, costs. Methods ...
and
investment Investment is traditionally defined as the "commitment of resources into something expected to gain value over time". If an investment involves money, then it can be defined as a "commitment of money to receive more money later". From a broade ...
*
income distribution In economics, income distribution covers how a country's total GDP is distributed amongst its population. Economic theory and economic policy have long seen income and its distribution as a central concern. Unequal distribution of income causes e ...
*
allocation of resources In economics, resource allocation is the assignment of available resources to various uses. In the context of an entire economy, resources can be allocated by various means, such as markets, or planning. In project management, resource allocation ...
. Fiscal policy can be distinguished from
monetary policy Monetary policy is the policy adopted by the monetary authority of a nation to affect monetary and other financial conditions to accomplish broader objectives like high employment and price stability (normally interpreted as a low and stable rat ...
, in that fiscal policy deals with taxation and government spending and is often administered by a government department; while monetary policy deals with the
money supply In macroeconomics, money supply (or money stock) refers to the total volume of money held by the public at a particular point in time. There are several ways to define "money", but standard measures usually include currency in circulation (i ...
,
interest rate An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, ...
s and is often administered by a country's
central bank A central bank, reserve bank, national bank, or monetary authority is an institution that manages the monetary policy of a country or monetary union. In contrast to a commercial bank, a central bank possesses a monopoly on increasing the mo ...
. Both fiscal and monetary policies influence a country's economic performance.


Monetary or fiscal policy?

Since the 1970s, it became clear that monetary policy performance has some benefits over fiscal policy due to the fact that it reduces political influence, as it is set by the central bank (to have an expanding economy before the general election, politicians might cut the interest rates). Additionally, fiscal policy can potentially have more supply-side effects on the economy: to reduce inflation, the measures of increasing taxes and lowering spending would not be preferred, so the government might be reluctant to use these. Monetary policy is generally quicker to implement as interest rates can be set every month, while the decision to increase government spending might take time to figure out which area the money should be spent on. The recession of the 2000s decade shows that monetary policy also has certain limitations. 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 ...
occurs when interest rate cuts are insufficient as a demand booster as banks do not want to lend and the consumers are reluctant to increase spending due to negative expectations for the economy. Government spending is responsible for creating the demand in the economy and can provide a kick-start to get the economy out of the recession. When a deep recession takes place, it is not sufficient to rely just on monetary policy to restore the economic equilibrium. Each side of these two policies has its differences, therefore, combining aspects of both policies to deal with economic problems has become a solution that is now used by the US. These policies have limited effects; however, fiscal policy seems to have a greater effect over the long-run period, while monetary policy tends to have a short-run success. In 2000, a survey of 298 members of the
American Economic Association The American Economic Association (AEA) is a learned society in the field of economics, with approximately 23,000 members. It publishes several peer-reviewed journals, including the Journal of Economic Literature, American Economic Review, an ...
(AEA) found that while 84 percent generally agreed with the statement "Fiscal policy has a significant stimulative impact on a less than fully employed economy", 71 percent also generally agreed with the statement "
Management Management (or managing) is the administration of organizations, whether businesses, nonprofit organizations, or a Government agency, government bodies through business administration, Nonprofit studies, nonprofit management, or the political s ...
of the
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
should be left to the
Federal Reserve The Federal Reserve System (often shortened to the Federal Reserve, or simply the Fed) is the central banking system of the United States. It was created on December 23, 1913, with the enactment of the Federal Reserve Act, after a series of ...
; activist fiscal policy should be avoided." In 2011, a follow-up survey of 568 AEA members found that the previous consensus about the latter proposition had dissolved and was by then roughly evenly disputed.


Stances

Depending on the state of the economy, fiscal policy may reach for different objectives: its focus can be to restrict economic growth by mediating inflation or, in turn, increase economic growth by decreasing
tax A tax is a mandatory financial charge or levy imposed on an individual or legal entity by a governmental organization to support government spending and public expenditures collectively or to regulate and reduce negative externalities. Tax co ...
es, encouraging spending on different projects that act as stimuli to economic growth and enabling borrowing and spending. The three stances of fiscal policy are the following: * Neutral fiscal policy is usually undertaken when an economy is in neither a
recession In economics, a recession is a business cycle contraction that occurs when there is a period of broad decline in economic activity. Recessions generally occur when there is a widespread drop in spending (an adverse demand shock). This may be tr ...
nor an expansion. The amount of government
deficit spending Within the budgetary process, deficit spending is the amount by which spending exceeds revenue over a particular period of time, also called simply deficit, or budget deficit, the opposite of budget surplus. The term may be applied to the budg ...
(the excess not financed by tax
revenue In accounting, revenue is the total amount of income generated by the sale of product (business), goods and services related to the primary operations of a business. Commercial revenue may also be referred to as sales or as turnover. Some compan ...
) is roughly the same as it has been on average over time, so no changes to it are occurring that would have an effect on the level of
economic activity Economics () is a behavioral 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 analyse ...
. * Expansionary fiscal policy is used by the government when trying to balance the contraction phase in the
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
. It involves government spending exceeding tax revenue by more than it has tended to, and is usually undertaken during recessions. Examples of expansionary fiscal policy measures include increased government spending on public works (e.g., building schools) and providing the residents of the economy with tax cuts to increase their purchasing power (in order to fix a decrease in the demand). * Contractionary fiscal policy, on the other hand, is a measure to increase tax rates and decrease government spending. It occurs when government deficit spending is lower than usual. This has the potential to slow economic growth if inflation, which was caused by a significant increase in aggregate demand and the supply of money, is excessive. By reducing the economy's amount of aggregate income, the available amount for consumers to spend is also reduced. So, contractionary fiscal policy measures are employed when unsustainable growth takes place, leading to inflation, high prices of investment, recession and unemployment above the "healthy" level of 3%–4%. However, these definitions can be misleading because, even with no changes in spending or tax laws at all, cyclic fluctuations of the economy cause cyclic fluctuations of tax revenues and of some types of government spending, altering the deficit situation; these are not considered to be policy changes. Therefore, for purposes of the above definitions, "government spending" and "tax revenue" are normally replaced by "cyclically adjusted government spending" and "cyclically adjusted tax revenue". Thus, for example, a government budget that is balanced over the course of the business cycle is considered to represent a neutral and effective fiscal policy stance.


Methods of fiscal policy funding

Governments spend money on a wide variety of things, from the military and police to services such as education and health care, as well as
transfer payment In macroeconomics and finance, a transfer payment (also called a government transfer or simply fiscal transfer) is a redistribution of income and wealth by means of the government making a payment, without goods or services being received in r ...
s such as
welfare Welfare may refer to: Philosophy *Well-being (happiness, prosperity, or flourishing) of a person or group * Utility in utilitarianism * Value in value theory Economics * Utility, a general term for individual well-being in economics and decision ...
benefits. This expenditure can be funded in a number of different ways: *
Taxation A tax is a mandatory financial charge or levy imposed on an individual or legal person, legal entity by a governmental organization to support government spending and public expenditures collectively or to Pigouvian tax, regulate and reduce nega ...
*
Seigniorage Seigniorage , also spelled seignorage or seigneurage (), is the increase in the value of money due to money creation minus the cost of producing the additional money. Monetary seigniorage is where government bonds are exchanged for newly create ...
, the benefit from printing
money Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts, such as taxes, in a particular country or socio-economic context. The primary functions which distinguish money are: m ...
* Borrowing money from the population or from abroad * Dipping into fiscal reserves * Sale of
fixed asset Fixed assets (also known as long-lived assets or property, plant and equipment; PP&E) is a term used in accounting for assets and property that may not easily be converted into cash. They are contrasted with current assets, such as cash, bank ac ...
s (e.g.,
land Land, also known as dry land, ground, or earth, is the solid terrestrial surface of Earth not submerged by the ocean or another body of water. It makes up 29.2% of Earth's surface and includes all continents and islands. Earth's land sur ...
) * Selling equity to the population


Borrowing

A fiscal deficit is often funded by issuing bonds such as
Treasury bills United States Treasury securities, also called Treasuries or Treasurys, are government debt instruments issued by the United States Department of the Treasury to finance government spending as a supplement to taxation. Since 2012, the U.S. ...
or and
gilt-edged securities Gilt-edged securities, also referred to as gilts, are bonds issued by the UK Government. The term is of British origin, and referred to the debt securities issued by the Bank of England on behalf of His Majesty's Treasury, whose paper certifi ...
but can also be funded by issuing equity. Bonds pay interest, either for a fixed period or indefinitely that is funded by taxpayers as a whole. Equity offers returns on investment (interest) that can only be realized in discharging a future tax liability by an individual taxpayer. If available government revenue is insufficient to support the interest payments on bonds, a nation may default on its debts, usually to foreign creditors.
Public debt A country's gross government debt (also called public debt or sovereign debt) is the financial liabilities of the government sector. Changes in government debt over time reflect primarily borrowing due to past government deficits. A deficit occu ...
or borrowing refers to the government borrowing from the public. It is impossible for a government to "default" on its equity since the total returns available to all investors (taxpayers) are limited at any point by the total current year tax liability of all investors.


Dipping into prior surpluses

A fiscal surplus is often saved for future use, and may be invested in either local currency or any
financial instrument Financial instruments are monetary contracts between parties. They can be created, traded, modified and settled. They can be cash (currency), evidence of an ownership, interest in an entity or a contractual right to receive or deliver in the form ...
that may be traded later once resources are needed and the additional debt is not needed.


Balanced budget amendment

The concept of a
balanced budget amendment A balanced budget amendment or debt brake is a constitutional rule requiring that a state cannot spend more than its income. It requires a balance between the projected receipts and expenditures of the government. Balanced-budget provisions ha ...
or fiscal straitjacket is a general economic principle that suggests strict constraints on government spending and public sector borrowing, to limit or regulate the budget deficit over a time period. Most US states have balanced budget rules that prevent them from running a deficit. The United States federal government technically has a legal cap on the total amount of money it can borrow, but it is not a meaningful constraint because the cap can be raised as easily as spending can be authorized, and the cap is almost always raised before the debt gets that high. A balanced budget amendment can include an adjustment for
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
s.


Economic effects

Governments use fiscal policy to influence the level of aggregate demand in the economy, so that certain economic goals can be achieved: *Price stability; *Full employment; *Economic growth. The
Keynesian 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 an ...
view of economics suggests that increasing government spending and decreasing the rate of taxes are the best ways to have an influence on
aggregate demand In economics, 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 is the ...
, stimulate it, while decreasing spending and increasing taxes after the economic expansion has already taken place. Additionally, Keynesians argue that expansionary fiscal policy should be used in times of
recession In economics, a recession is a business cycle contraction that occurs when there is a period of broad decline in economic activity. Recessions generally occur when there is a widespread drop in spending (an adverse demand shock). This may be tr ...
or low economic activity as an essential tool for building the framework for strong economic growth and working towards
full employment Full employment is an economic situation in which there is no cyclical or deficient-demand unemployment. Full employment does not entail the disappearance of all unemployment, as other kinds of unemployment, namely structural and frictional, may ...
. In theory, the resulting deficits would be paid for by an expanded economy during the expansion that would follow; this was the reasoning behind the
New Deal The New Deal was a series of wide-reaching economic, social, and political reforms enacted by President Franklin D. Roosevelt in the United States between 1933 and 1938, in response to the Great Depression in the United States, Great Depressi ...
. The IS-LM model is another way of understanding the effects of fiscal expansion. As the government increases spending, there will be a shift in the IS curve up and to the right. In the
short run In economics, the long-run is a theoretical concept in which all markets are in equilibrium, and all prices and quantities have fully adjusted and are in equilibrium. The long-run contrasts with the short-run, in which there are some constraints a ...
, this increases the
real interest rate The real interest rate is the rate of interest an investor, saver or lender receives (or expects to receive) after allowing for inflation. It can be described more formally by the Fisher equation, which states that the real interest rate is appro ...
, which then reduces private investment and increases aggregate demand, placing upward pressure on supply. To meet the short-run increase in aggregate demand, firms increase full-employment output. The increase in short-run
price level The general price level is a hypothetical measure of overall prices for some set of goods and services (the consumer basket), in an economy or monetary union during a given interval (generally one day), normalized relative to some base set. ...
s reduces the
money supply In macroeconomics, money supply (or money stock) refers to the total volume of money held by the public at a particular point in time. There are several ways to define "money", but standard measures usually include currency in circulation (i ...
, which shifts the LM curve back, and thus, returning the general
equilibrium Equilibrium may refer to: Film and television * ''Equilibrium'' (film), a 2002 science fiction film * '' The Story of Three Loves'', also known as ''Equilibrium'', a 1953 romantic anthology film * "Equilibrium" (''seaQuest 2032'') * ''Equilibr ...
to the original full employment (FE) level. Therefore, the IS-LM model shows that there will be an overall increase in the price level and real interest rates in the
long run In economics, the long-run is a theoretical concept in which all markets are in equilibrium, and all prices and quantities have fully adjusted and are in equilibrium. The long-run contrasts with the short-run, in which there are some constraints a ...
due to fiscal expansion. Governments can use a budget surplus to do two things: *to slow the pace of strong economic growth; *to stabilise prices when inflation is too high. Keynesian theory posits that removing spending from the economy will reduce levels of aggregate demand and contract the economy, thus stabilizing prices. But
economist An economist is a professional and practitioner in the social sciences, social science discipline of economics. The individual may also study, develop, and apply theories and concepts from economics and write about economic policy. Within this ...
s still debate the effectiveness of fiscal stimulus. The argument mostly centers on crowding out: whether government borrowing leads to higher
interest rate An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, ...
s that may offset the stimulative impact of spending. When the government runs a budget deficit, funds will need to come from public borrowing (the issue of government bonds), overseas borrowing, or monetizing the debt. When governments fund a deficit with the issuing of government bonds, interest rates can increase across the market, because government borrowing creates higher demand for credit in the financial markets. This decreases aggregate demand for goods and services, either partially or entirely offsetting the direct expansionary impact of the deficit spending, thus diminishing or eliminating the achievement of the objective of a fiscal stimulus. Neoclassical economists generally emphasize crowding out while Keynesians argue that fiscal policy can still be effective, especially in 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 ...
where, they argue, crowding out is minimal. In the classical view, expansionary fiscal policy also decreases net exports, which has a mitigating effect on national output and income. When government borrowing increases interest rates it attracts foreign capital from foreign investors. This is because, all other things being equal, the bonds issued from a country executing expansionary fiscal policy now offer a higher rate of return. In other words, companies wanting to finance projects must compete with their government for capital so they offer higher rates of return. To purchase bonds originating from a certain country, foreign investors must obtain that country's currency. Therefore, when foreign capital flows into the country undergoing fiscal expansion, demand for that country's
currency A currency is a standardization of money in any form, in use or circulation as a medium of exchange, for example banknotes and coins. A more general definition is that a currency is a ''system of money'' in common use within a specific envi ...
increases. The increased demand, in turn, causes the currency to appreciate, reducing the cost of imports and making exports from that country more expensive to foreigners. Consequently,
export An export in international trade is a good produced in one country that is sold into another country or a service provided in one country for a national or resident of another country. The seller of such goods or the service provider is a ...
s decrease and
import An importer is the receiving country in an export from the sending country. Importation and exportation are the defining financial transactions of international trade. Import is part of the International Trade which involves buying and receivin ...
s increase, reducing demand from net exports. Some economists oppose the discretionary use of fiscal stimulus because of the inside lag (the time lag involved in implementing it), which is almost inevitably long because of the substantial legislative effort involved. Further, the outside lag between the time of implementation and the time that most of the effects of the stimulus are felt could mean that the stimulus hits an already-recovering economy and overheats the ensuing h rather than stimulating the economy when it needs it. Some economists are concerned about potential inflationary effects driven by increased demand engendered by a fiscal stimulus. In theory, fiscal stimulus does not cause inflation when it uses resources that would have otherwise been idle. For instance, if a fiscal stimulus employs a worker who otherwise would have been
unemployed Unemployment, according to the OECD (Organisation for Economic Co-operation and Development), is the proportion of people above a specified age (usually 15) not being in paid employment or self-employment but currently available for Work (hu ...
, there is no inflationary effect; however, if the stimulus employs a worker who otherwise would have had a job, the stimulus is increasing
labor demand In economics, the labor demand of an employer is the number of labor-hours that the employer is willing to hire based on the various exogenous (externally determined) variables it is faced with, such as the wage rate, the unit cost of capital, th ...
while
labor supply In Mainstream economics, mainstream economic theories, the labour supply is the total hours (adjusted for intensity of effort) that workers wish to work at a given real wage rate. It is frequently represented graphically by a labour supply curve, ...
remains fixed, leading to wage inflation and therefore price inflation.


See also

*
Econometrics Econometrics is an application of statistical methods to economic data in order to give empirical content to economic relationships. M. Hashem Pesaran (1987). "Econometrics", '' The New Palgrave: A Dictionary of Economics'', v. 2, p. 8 p. 8 ...
* Fiscal Observatory of Latin America and the Caribbean * Fiscal policy of the United States * Fiscal union * Functional finance *
Monetary policy Monetary policy is the policy adopted by the monetary authority of a nation to affect monetary and other financial conditions to accomplish broader objectives like high employment and price stability (normally interpreted as a low and stable rat ...
* National fiscal policy response to the late 2000s recession * Policy mix *
Tax policy Tax policy refers to the guidelines and principles established by a government for the imposition and collection of taxes. It encompasses both microeconomic and macroeconomic aspects. The former focuses on issues of fairness and efficiency in ta ...


References


Bibliography

* Simonsen, M.H. The Econometrics and The State Brasilia University Editor, 1960–1964. * Heyne, P. T., Boettke, P. J., Prychitko, D. L. (2002). The Economic Way of Thinking (10th ed). Prentice Hall. * Larch, M. and J. Nogueira Martins (2009). Fiscal Policy Making in the European Union: An Assessment of Current Practice and Challenges. Routledge. * Hansen, Bent (2003). The Economic Theory of Fiscal Policy, Volume 3. Routledge. * Anderson, J. E. (2005)
Fiscal Reform and its Firm-Level Effects in Eastern Europe and Central Asia
Working Papers Series wp800, William Davidson Institute at the University of Michigan. * D. Harries. Roger Fenton and the Crimean War * Schmidt, M (2018). "A Look at Fiscal and Monetary Policy", Dotdash * Pettinger, T. (2017). "Difference between monetary and fiscal policy", EconomicsHelp.org * Amadeo, K. (2018). "Fiscal Policy Types, Objectives, and Tools", Dotdash * Kramer, L. (2019). "What Is Fiscal Policy?", Dotdash * Macek, R; Janků, J. (2015) "The Impact of Fiscal Policy on Economic Growth Depending on Institutional Conditions"


External links


Fiscal Policy topic page
from
Encyclopædia Britannica The is a general knowledge, general-knowledge English-language encyclopaedia. It has been published by Encyclopædia Britannica, Inc. since 1768, although the company has changed ownership seven times. The 2010 version of the 15th edition, ...
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