Ronald Shephard
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Ronald Shephard
Ronald William Shephard (November 22, 1912 – July 22, 1982) was Professor of Engineering Science at the University of California, Berkeley. He is best known for two results in economics, now known as Shephard's lemma and the Shephard duality theorem. Shephard proved these results in his book ''Theory of Cost and Production Functions'' (Princeton University Press, 1953), which Dale W. Jorgenson Dale Weldeau Jorgenson (May 7, 1933 – June 8, 2022) was the Samuel W. Morris University Professor at Harvard University, teaching in the department of economics and John F. Kennedy School of Government. He served as chairman of the department ..., in the preface of a reprint, called "the most original contribution to economic theory of all time." References 1982 deaths 1912 births Fellows of the Econometric Society 20th-century American economists {{US-economist-stub ...
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United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ...
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Mathematical Economics
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods. Proponents of this approach claim that it allows the formulation of theoretical relationships with rigor, generality, and simplicity. Mathematics allows economists to form meaningful, testable propositions about wide-ranging and complex subjects which could less easily be expressed informally. Further, the language of mathematics allows economists to make specific, positive claims about controversial or contentious subjects that would be impossible without mathematics. Much of economic theory is currently presented in terms of mathematical economic models, a set of stylized and simplified mathematical relationships asserted to clarify ass ...
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University Of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant university and the founding campus of the University of California system. Its fourteen colleges and schools offer over 350 degree programs and enroll some 31,800 undergraduate and 13,200 graduate students. Berkeley ranks among the world's top universities. A founding member of the Association of American Universities, Berkeley hosts many leading research institutes dedicated to science, engineering, and mathematics. The university founded and maintains close relationships with three national laboratories at Berkeley, Livermore and Los Alamos, and has played a prominent role in many scientific advances, from the Manhattan Project and the discovery of 16 chemical elements to breakthroughs in computer science and genomics. Berkeley is ...
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Griffith C
Griffith may refer to: People * Griffith (name) * Griffith (surname) * Griffith (given name) Places Antarctica * Mount Griffith, Ross Dependency * Griffith Peak (Antarctica), Marie Byrd Land * Griffith Glacier, Marie Byrd Land * Griffith Ridge, Victoria Land * Griffith Nunataks, Victoria Land * Griffith Island Australia * Griffith, New South Wales, a city * City of Griffith, a local government area which includes Griffith, New South Wales * Griffith, Australian Capital Territory, a suburb of Canberra * Division of Griffith, a parliamentary electorate in Queensland Canada * Griffith Island (Georgian Bay), Ontario * Griffith Island (Nunavut) United States * Griffith Park, a public park in Los Angeles, California * Griffith, Indiana, a town and suburb of Chicago * Griffith Lake, Vermont * Griffith, Virginia, an unincorporated community * Griffith Peak, Nevada * Griffith Quarry, near Penryn, California Education * Griffith Institute, Oxford, Great Britain * Griffith Universi ...
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Shephard's Lemma
Shephard's lemma is a major result in microeconomics having applications in the theory of the firm and in consumer choice. The lemma states that if indifference curves of the expenditure or cost function are convex, then the cost minimizing point of a given good (i) with price p_i is unique. The idea is that a consumer will buy a unique ideal amount of each item to minimize the price for obtaining a certain level of utility given the price of goods in the market. The lemma is named after Ronald Shephard who gave a proof using the distance formula in his book ''Theory of Cost and Production Functions'' (Princeton University Press, 1953). The equivalent result in the context of consumer theory was first derived by Lionel W. McKenzie in 1957. It states that the partial derivatives of the expenditure function with respect to the prices of goods equal the Hicksian demand functions for the relevant goods. Similar results had already been derived by John Hicks (1939) and Paul Samuels ...
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Oskar Morgenstern
Oskar Morgenstern (January 24, 1902 – July 26, 1977) was an Austrian-American economist. In collaboration with mathematician John von Neumann, he founded the mathematical field of game theory as applied to the social sciences and strategic decision-making (see von Neumann–Morgenstern utility theorem). Companies he served as founder/co-founder of included Market Research Corporation of America, Mathematica and Mathematica Policy Research. Biography Morgenstern was born in Görlitz in the Prussian Province of Silesia. His mother was said to be a daughter of Emperor Frederick III of Germany. Morgenstern grew up in Vienna, Austria, where he also went to university. In 1925, he graduated from the University of Vienna and got his PhD in political science. From 1925 until 1928, he went on a three-year fellowship financed by the Rockefeller Foundation. After his return in 1928, he became a professor in economics at the University of Vienna until his visit to Princeton Univer ...
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Shephard Duality Theorem
Shepherd is a surname, cognate of the English word "Shepherd". Shepherd Surname * Adaline Shepherd, American composer * Alan Shepherd, British motorcycle Grand Prix road racer * Amba Shepherd, Australian singer * Ann Shepherd, American actress born Shaindel Kalish * Briana Shepherd, Western Australian journalist, reporter and news presenter, former New York City Ballet dancer * Chandler Shepherd, American professional baseball player (Boston Red Sox) * Cybill Shepherd, American actress * Darrius Shepherd (born 1995), American football player * David Shepherd (other) * Dolly Shepherd, hot-air balloon trapeze artist * Frances Alice Shepherd, Canadian academic * Freddy Shepherd, businessman and chairman of Newcastle United * George Shepherd (artist), English draughtsman and watercolourist * George Shepherd, 1st Baron Shepherd, British Labour politician * J. Marshall Shepherd, American meteorologist * Jack Shepherd (other), multiple people * JaCorey Shepherd, A ...
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Dale W
Dale or dales may refer to: Locations * Dale (landform), an open valley * Dale (place name element) Geography ;Australia *The Dales (Christmas Island), in the Indian Ocean ;Canada *Dale, Ontario ;Ethiopia *Dale (woreda), district ;Norway *Dale, Fjaler, the administrative centre of Fjaler municipality, Vestland county *Dale, Sel, a village in Sel municipality in Innlandet county * Dale, Vaksdal, the administrative centre of Vaksdal municipality, Vestland county * Dale, Vaksdal, the administrative bop on the head * Dale Church (Fjaler), a church in Fjaler municipality, Vestland county *Dale Church (Luster), a church in Luster municipality, Vestland county *Dale Church (Vaksdal), a church in Vaksdal municipality, Vestland county *Dale Church (also known as Norddal Church), a church in Fjord municipality, Møre og Romsdal county ;Poland *Dale, Lesser Poland Voivodeship (south Poland) ;Sweden *The Dales, English exonym for Dalarna province ;United Kingdom *Dale, Cumbria, a hamlet ...
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1982 Deaths
__NOTOC__ Year 198 (CXCVIII) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sergius and Gallus (or, less frequently, year 951 ''Ab urbe condita''). The denomination 198 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire *January 28 **Publius Septimius Geta, son of Septimius Severus, receives the title of Caesar. **Caracalla, son of Septimius Severus, is given the title of Augustus. China *Winter – Battle of Xiapi: The allied armies led by Cao Cao and Liu Bei defeat Lü Bu; afterward Cao Cao has him executed. By topic Religion * Marcus I succeeds Olympianus as Patriarch of Constantinople (until 211). Births * Lu Kai (or Jingfeng), Chinese official and general (d. 269) * Quan Cong, Chinese general and advisor (d ...
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1912 Births
Year 191 ( CXCI) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Apronianus and Bradua (or, less frequently, year 944 ''Ab urbe condita''). The denomination 191 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Parthia * King Vologases IV of Parthia dies after a 44-year reign, and is succeeded by his son Vologases V. China * A coalition of Chinese warlords from the east of Hangu Pass launches a punitive campaign against the warlord Dong Zhuo, who seized control of the central government in 189, and held the figurehead Emperor Xian hostage. After suffering some defeats against the coalition forces, Dong Zhuo forcefully relocates the imperial capital from Luoyang to Chang'an. Before leaving, Dong Zhuo orders his troops to loot the tombs of the H ...
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Fellows Of The Econometric Society
In the scientific discipline of economics, the Econometric Society is a learned society devoted to the advancement of economics by using mathematical and statistical methods. This article is a list of its (current and in memory) fellows. Fellows 1933 * Luigi Amoroso * Oskar N. Anderson * Albert Aupetit * * A. L. Bowley * Clément Colson * Gustavo Del Vecchio * François Divisia * Griffith C. Evans * Irving Fisher * Ragnar Frisch * Corrado Gini * Gottfried Haberler * Harold Hotelling * John M. Keynes * N. D. Kondratiev * Wesley C. Mitchell * H. L. Moore * Umberto Ricci * Charles F. Roos * M. Jacques Rueff * * Henry Schultz * Joseph A. Schumpeter * J. Tinbergen * Felice Vinci * Edwin B. Wilson * * F. Zeuthen 1935 * R. G. D. Allen * Costantino Bresciani Turroni * Mordecai Ezekiel * J. Marschak 1937 * Alfred Cowles 3rd * J. R. Hicks * Giorgio Mortara * René Roy * Hans Staehle 1939 * Oskar Lange * Wassily Leontief * Josiah Charles Stamp * Theodor ...
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