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Fundamental Theorems Of Welfare Economics
There are two fundamental theorems of welfare economics. The first states that in economic equilibrium, a set of complete markets, with complete information, and in perfect competition, will be Pareto optimal (in the sense that no further exchange would make one person better off without making another worse off). The requirements for perfect competition are these: # There are no externalities and each actor has perfect information. # Firms and consumers take prices as given (no economic actor or group of actors has market power). The theorem is sometimes seen as an analytical confirmation of Adam Smith's "invisible hand" principle, namely that ''competitive markets ensure an efficient allocation of resources''. However, there is no guarantee that the Pareto optimal market outcome is socially desirable, as there are many possible Pareto efficient allocations of resources differing in their desirability (e.g. one person may own everything and everyone else nothing). The second ...
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Welfare Economics
Welfare economics is a branch of economics that uses microeconomic techniques to evaluate well-being (welfare) at the aggregate (economy-wide) level. Attempting to apply the principles of welfare economics gives rise to the field of public economics, the study of how government might intervene to improve social welfare. Welfare economics also provides the theoretical foundations for particular instruments of public economics, including cost–benefit analysis, while the combination of welfare economics and insights from behavioral economics has led to the creation of a new subfield, behavioral welfare economics. The field of welfare economics is associated with two fundamental theorems. The first states that given certain assumptions, competitive markets produce ( Pareto) efficient outcomes; it captures the logic of Adam Smith's invisible hand. The second states that given further restrictions, any Pareto efficient outcome can be supported as a competitive market equilibriu ...
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Vilfredo Pareto
Vilfredo Federico Damaso Pareto ( , , , ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italians, Italian polymath (civil engineer, sociologist, economist, political scientist, and philosopher). He made several important contributions to economics, particularly in the study of income distribution and in the analysis of individuals' choices. He was also responsible for popularising the use of the term "elite" in social analysis. He introduced the concept of Pareto efficiency and helped develop the field of microeconomics. He was also the first to discover that income follows a Pareto distribution, which is a power law probability distribution. The Pareto principle was named after him, and it was built on his observations that 80% of the wealth in Italy belonged to about 20% of the population. He also contributed to the fields of sociology and mathematics. According to the mathematician Benoit Mandelbrot and Richard L. Hudson: Biography Pareto was born o ...
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Social Welfare Function
In welfare economics, a social welfare function is a function that ranks social states (alternative complete descriptions of the society) as less desirable, more desirable, or indifferent for every possible pair of social states. Inputs of the function include any variables considered to affect the economic welfare of a society. In using welfare measures of persons in the society as inputs, the social welfare function is individualistic in form. One use of a social welfare function is to represent prospective patterns of collective choice as to alternative social states. The social welfare function provides the government with a simple guideline for achieving the optimal distribution of income. The social welfare function is analogous to the consumer theory of indifference-curve–budget constraint tangency for an individual, except that the social welfare function is a mapping of individual preferences or judgments of everyone in the society as to collective choices, which ...
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Lagrange Multiplier
In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables). It is named after the mathematician Joseph-Louis Lagrange. The basic idea is to convert a constrained problem into a form such that the derivative test of an unconstrained problem can still be applied. The relationship between the gradient of the function and gradients of the constraints rather naturally leads to a reformulation of the original problem, known as the Lagrangian function. The method can be summarized as follows: in order to find the maximum or minimum of a function f(x) subjected to the equality constraint g(x) = 0, form the Lagrangian function :\mathcal(x, \lambda) = f(x) + \lambda g(x) and find the stationary points of \mathcal considered as a function of x and the Lagrange m ...
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An Essay On The Nature And Significance Of Economic Science
Lionel Robbins' ''Essay'' (1932, 1935, 2nd ed., 158 pp.) sought to define more precisely economics as a science and to derive substantive implications. Analysis is relative to "accepted solutions of particular problems" based on best modern practice as referenced, especially including the works of Philip Wicksteed, Ludwig von Mises, and other Continental European economists. Robbins disclaims originality but expresses hope to have given expository force on a very few points to some principles "not always clearly stated" (1935, pp. xiv-xvi)Lionel Robbins (1932, 1935, 2nd ed.). ''An Essay on the Nature and Significance of Economic Science'', London: Macmillan. Links fo1932 HTMLan1935 facsimile Major propositions Robbins develops and defends several propositions about the relation of scarcity to economics and of economic theory to science, including the following. * "Economics is the science which studies human behaviour as a relationship between ends and scarce means which have ...
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Lionel Robbins
Lionel Charles Robbins, Baron Robbins, (22 November 1898 – 15 May 1984) was a British economist, and prominent member of the economics department at the London School of Economics (LSE). He is known for his leadership at LSE, his proposed definition of economics, and for his instrumental efforts in shifting Anglo-Saxon economics from its Marshallian direction. He is famous for the quote, "Humans want what they can't have." Early life Robbins was born in Sipson, west of London, the son of Rowland Richard Robbins (1872–1960), known as Dick, and his wife Rosa Marion Harris; his father was a farmer, a member of Middlesex County Council involved also in the National Farmers' Union, and the family was Strict Baptist. His sister Caroline became a noted Professor of History at Bryn Mawr College. Robbins was educated at home, at Hounslow College (a preparatory school) and at Southall County School. He went to University College London in October 1915, beginning an Arts degr ...
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Oskar Lange
Oskar Ryszard Lange (27 July 1904 – 2 October 1965) was a Polish economist and diplomat. He is best known for advocating the use of market pricing tools in socialist systems and providing a model of market socialism. He responded to the economic calculation problem proposed by Ludwig von Mises and Friedrich Hayek by claiming that managers in a centrally-planned economy would be able to monitor supply and demand through increases and declines in inventories of goods, and advocated the nationalization of major industries. During his stay in the United States, Lange was an academic teacher and researcher in mathematical economics. Later in socialist Poland, he was a member of the Central Committee of the Polish United Workers' Party.Witold Gadomski, ''Rynek trzyma smycz adomski o książce Belki' (The market holds the leash adomski about Belka's book. 11 June 2016Rynek trzyma smycz wyborcza.pl. Retrieved 26 June 2016. Career Lange was born in Tomaszów Mazowiecki as so ...
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Natural Monopoly
A natural monopoly is a monopoly in an industry in which high infrastructural costs and other barriers to entry relative to the size of the market give the largest supplier in an industry, often the first supplier in a market, an overwhelming advantage over potential competitors. Specifically, an industry is a natural monopoly if the total cost of one firm, producing the total output, is lower than the total cost of two or more firms producing the entire production. In that case, it is very probable that a company (monopoly) or minimal number of companies (oligopoly) will form, providing all or most relevant products and/or services. This frequently occurs in industries where capital costs predominate, creating large economies of scale about the size of the market; examples include public utilities such as water services, electricity, telecommunications, mail, etc. Natural monopolies were recognized as potential sources of market failure as early as the 19th century; John Stuart ...
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Harold Hotelling
Harold Hotelling (; September 29, 1895 – December 26, 1973) was an American mathematical statistician and an influential economic theorist, known for Hotelling's law, Hotelling's lemma, and Hotelling's rule in economics, as well as Hotelling's T-squared distribution in statistics. He also developed and named the principal component analysis method widely used in finance, statistics and computer science. He was Associate Professor of Mathematics at Stanford University from 1927 until 1931, a member of the faculty of Columbia University from 1931 until 1946, and a Professor of Mathematical Statistics at the University of North Carolina at Chapel Hill from 1946 until his death. A street in Chapel Hill bears his name. In 1972, he received the North Carolina Award for contributions to science. Statistics Hotelling is known to statisticians because of Hotelling's T-squared distribution which is a generalization of the Student's t-distribution in multivariate setting, and its use i ...
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Alfred Marshall
Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist, and was one of the most influential economists of his time. His book '' Principles of Economics'' (1890) was the dominant economic textbook in England for many years. It brought the ideas of supply and demand, marginal utility, and costs of production into a coherent whole. He is known as one of the founders of neoclassical economics. Life and career Marshall was born at Bermondsey in London, second son of William Marshall (1812–1901), clerk and cashier at the Bank of England, and Rebecca (1817–1878), daughter of butcher Thomas Oliver, from whom, on her mother's death, she inherited property. William Marshall was a devout strict Evangelical, "author of an Evangelical epic in a sort of Anglo-Saxon language of his own invention which found some favour in its appropriate circles" and of a tract titled ''Men's Rights and Women's Duties''. Marshall had two brothers and two sisters; a cousin was the eco ...
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Abba Lerner
Abraham "Abba" Ptachya Lerner (also Abba Psachia Lerner; 28 October 1903 – 27 October 1982) was a Russian-born American-British economist. Biography Born in Novoselytsia, Bessarabia, Russian Empire, Lerner grew up in a Jewish family, which emigrated to Great Britain when Lerner was three years old. Lerner grew up in London's East End and from age 16 worked as a machinist, a teacher in Hebrew schools, and as an entrepreneur. In 1929, Lerner entered the London School of Economics, where he studied under Friedrich Hayek. A six-month stay at Cambridge in 1934–1935 brought him into contact with John Maynard Keynes. In 1937, Lerner emigrated to the United States. While in the US, he befriended intellectual opponents Milton Friedman and Barry Goldwater. Lerner never stayed at one institution long, serving on the faculties of nearly a dozen universities and accepting over 20 visiting appointments. Lerner was 62 when he was given a professorship at the University of California, ...
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Enrico Barone
Enrico Barone (; 22 December 1859, Naples, Kingdom of the Two Sicilies – 14 May 1924, Rome, Italy) was a soldier, military historian, and an economist. Biography Barone studied the classics and mathematics before becoming an army officer. He taught military history for eight years from 1894 at the Officers' Training School. There he wrote a series of influential historical military works. In these he employed a method of successive approximations to which his study in economics had introduced him. In 1902, he became head of the historical office of the General Staff. He resigned his commission in 1906. From 1894 he collaborated with Maffeo Pantaleoni and Vilfredo Pareto in the ''Giornale degli Economisti''.F. Caffé, 9872008. "Barone, Enrico," ''The New Palgrave Dictionary of Economics'', 2nd Edition. Relatelinks Impact He was the first to state conditions under which a competitive market would be Pareto efficient. He introduced variable factor proportions into neoclassical ...
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