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David Schmeidler
David Schmeidler (1939 – 17 March 2022) was an Israeli mathematician and economic theorist. He was a Professor Emeritus at Tel Aviv University and the Ohio State University. Biography David Schmeidler was born in 1939 in Kraków, Poland. He spent the war years in Russia and moved back to Poland at the end of the war and to Israel in 1949. From 1960 to 1969 he studied mathematics at the Hebrew University of Jerusalem (BSc, MSc, and PhD), the advanced degrees under the supervision of Robert Aumann. He visited the Catholic University of Louvain and University of California at Berkeley before joining Tel-Aviv University in 1971, holding professorships in statistics, economics, and management. He held a part-time position as professor of economics at the Ohio State University since 1987. Schmeidler died on 17 March 2022. Main contributions Schmeidler's early contributions were in game theory and general equilibrium theory. He suggested a new approach to solving coopera ...
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General Equilibrium Theory
In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall general equilibrium. General equilibrium theory contrasts to the theory of ''partial'' equilibrium, which analyzes a specific part of an economy while its other factors are held constant. In general equilibrium, constant influences are considered to be noneconomic, therefore, resulting beyond the natural scope of economic analysis. The noneconomic influences is possible to be non-constant when the economic variables change, and the prediction accuracy may depend on the independence of the economic factors. General equilibrium theory both studies economies using the model of equilibrium pricing and seeks to determine in which circumstances the assumptions of general equilibrium will hold. The theory dates to the 1870s, particularly t ...
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John Maynard Keynes
John Maynard Keynes, 1st Baron Keynes, ( ; 5 June 1883 – 21 April 1946), was an English economist whose ideas fundamentally changed the theory and practice of macroeconomics and the economic policies of governments. Originally trained in mathematics, he built on and greatly refined earlier work on the causes of business cycles. One of the most influential economists of the 20th century, he produced writings that are the basis for the school of thought known as Keynesian economics, and its various offshoots. His ideas, reformulated as New Keynesianism, are fundamental to mainstream macroeconomics. Keynes's intellect was evident early in life; in 1902, he gained admittance to the competitive mathematics program at King's College at the University of Cambridge. During the Great Depression of the 1930s, Keynes spearheaded a revolution in economic thinking, challenging the ideas of neoclassical economics that held that free markets would, in the short to medium term, ...
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Frank Knight
Frank Hyneman Knight (November 7, 1885 – April 15, 1972) was an American economist who spent most of his career at the University of Chicago, where he became one of the founders of the Chicago School. Nobel laureates Milton Friedman, George Stigler and James M. Buchanan were all students of Knight at Chicago. Ronald Coase said that Knight, without teaching him, was a major influence on his thinking. F.A. Hayek considered Knight to be one of the major figures in preserving and promoting classical liberal thought in the twentieth century. Paul Samuelson named Knight (along with Harry Gunnison Brown, Allyn Abbott Young, Henry Ludwell Moore, Wesley Clair Mitchell, Jacob Viner, and Henry Schultz) as one of the several "American saints in economics" born after 1860. Life and career Knight ( BA, Milligan College, 1911; BS and AM, Tennessee, 1913; PhD, Cornell, 1916) was born in 1885 in McLean County, Illinois, the son of Julia Ann (Hyneman) and Winton Cyrus Knight. ...
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Ellsberg Paradox
In decision theory, the Ellsberg paradox (or Ellsberg's paradox) is a paradox in which people's decisions are inconsistent with subjective expected utility theory. Daniel Ellsberg popularized the paradox in his 1961 paper, “Risk, Ambiguity, and the Savage Axioms”. John Maynard Keynes published a version of the paradox in 1921. It is generally taken to be evidence of ambiguity aversion, in which a person tends to prefer choices with quantifiable risks over those with unknown, incalculable risks. Ellsberg's findings indicate that choices with an underlying level of risk are favored in instances where the likelihood of risk is clear, rather than instances in which the likelihood of risk is unknown. A decision-maker will overwhelmingly favor a choice with a transparent likelihood of risk, even in instances where the unknown alternative will likely produce greater utility. When offered choices with varying risk, people prefer choices with calculable risk, even when they have ...
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Choquet Integral
A Choquet integral is a subadditive or superadditive integral created by the French mathematician Gustave Choquet in 1953. It was initially used in statistical mechanics and potential theory, but found its way into decision theory in the 1980s, where it is used as a way of measuring the expected utility of an uncertain event. It is applied specifically to membership functions and capacities. In imprecise probability theory, the Choquet integral is also used to calculate the lower expectation induced by a 2-monotone lower probability, or the upper expectation induced by a 2-alternating upper probability. Using the Choquet integral to denote the expected utility of belief functions measured with capacities is a way to reconcile the Ellsberg paradox and the Allais paradox. Definition The following notation is used: * S – a set. * \mathcal – a collection of subsets of S. * f : S\to \mathbb – a function. * \nu : \mathcal\to \mathbb^+ – a monotone set function. Assume t ...
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Capacity Utilization
Capacity utilization or capacity utilisation is the extent to which a firm or nation employs its installed productive capacity. It is the relationship between output that ''is'' produced with the installed equipment, and the potential output which ''could'' be produced with it, if capacity was fully used. The Formula is the actual output per period all over full capacity per period expressed as a percentage. Engineering and economic measures One of the most used definitions of the "capacity utilization rate" is the ratio of actual output to the potential output. But potential output can be defined in at least two different ways. Engineering definition One is the "engineering" or "technical" definition, according to which potential output represents the maximum amount of output that can be produced in the short run with the existing stock of capital. Thus, a standard definition of capacity utilization is the (weighted) average of the ratios between the actual output of firms and ...
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Choquet Expected Utility
A Choquet integral is a subadditive or superadditive integral created by the French mathematician Gustave Choquet in 1953. It was initially used in statistical mechanics and potential theory, but found its way into decision theory in the 1980s, where it is used as a way of measuring the expected utility of an uncertain event. It is applied specifically to membership functions and capacities. In imprecise probability theory, the Choquet integral is also used to calculate the lower expectation induced by a 2-monotone lower probability, or the upper expectation induced by a 2-alternating upper probability. Using the Choquet integral to denote the expected utility of belief functions measured with capacities is a way to reconcile the Ellsberg paradox and the Allais paradox. Definition The following notation is used: * S – a set. * \mathcal – a collection of subsets of S. * f : S\to \mathbb – a function. * \nu : \mathcal\to \mathbb^+ – a monotone set function. Assume th ...
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Decision Theory
Decision theory (or the theory of choice; not to be confused with choice theory) is a branch of applied probability theory concerned with the theory of making decisions based on assigning probabilities to various factors and assigning numerical consequences to the outcome. There are three branches of decision theory: # Normative decision theory: Concerned with the identification of optimal decisions, where optimality is often determined by considering an ideal decision-maker who is able to calculate with perfect accuracy and is in some sense fully rational. # Prescriptive decision theory: Concerned with describing observed behaviors through the use of conceptual models, under the assumption that those making the decisions are behaving under some consistent rules. # Descriptive decision theory: Analyzes how individuals actually make the decisions that they do. Decision theory is closely related to the field of game theory and is an interdisciplinary topic, studied by ec ...
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Measure (mathematics)
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures ( length, area, volume) and other common notions, such as mass and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge. Far-reaching generalizations (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general. The intuition behind this concept dates back to ancient Greece, when Archimedes tried to calculate the area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Co ...
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Implementation Theory
Implementation theory is an area of research in game theory concerned with whether a class of mechanisms (or institutions) can be designed whose equilibrium outcomes implement a given set of normative goals or welfare criteria.Palfrey, Thomas R. "Chapter 61 Implementation Theory." Handbook of Game Theory with Economic Applications, 2002. . There are two general types of implementation problems: the economic problem of producing and allocating public and private goods and choosing over a finite set of alternatives.Maskin, Eric. "Implementation Theory." Handbook of Social Choice and Welfare, 2002. . In the case of producing and allocating public/private goods, solution concepts are focused on finding dominant strategies. In his paper "Counterspeculation, Auctions, and Competitive Sealed Tenders", William Vickrey showed that if preferences are restricted to the case of quasi-linear utility functions then the mechanism dominant strategy is dominant-strategy implementable. "A socia ...
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Journal Of Economic Theory
The ''Journal of Economic Theory'' is a bimonthly peer-reviewed academic journal covering the field of economic theory. Karl Shell has served as editor-in-chief of the journal since it was established in 1968. Since 2000, he has shared the editorship with Jess Benhabib, Alessandro Lizzeri, Christian Hellwig, and more recently with Alessandro Pavan, Ricardo Lagos, Marciano Siniscalchi, and Xavier Vives. The journal is published by Elsevier. In 2020, Tilman Börgers was chief editor of the journal. Abstracting and indexing According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 1.458. See also *List of economics journals The following is a list of scholarly journals in economics containing most of the prominent academic journals in economics. Popular magazines or other publications related to economics, finance, or business are not listed. A *''Affilia'' * ... References External links * Economics journals Elsevier academic journals ...
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