Game Theory
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Game Theory
Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the losses and gains of the other participant. In the 1950s, it was extended to the study of non zero-sum games, and was eventually applied to a wide range of Human behavior, behavioral relations. It is now an umbrella term for the science of rational Decision-making, decision making in humans, animals, and computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was f ...
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Mathematical Model
A mathematical model is an abstract and concrete, abstract description of a concrete system using mathematics, mathematical concepts and language of mathematics, language. The process of developing a mathematical model is termed ''mathematical modeling''. Mathematical models are used in applied mathematics and in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). It can also be taught as a subject in its own right. The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, linguistics, and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different components, ...
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Oskar Morgenstern
Oskar Morgenstern (; January 24, 1902 – July 26, 1977) was a German-born economist. In collaboration with mathematician John von Neumann, he is credited with founding the field of game theory and its application to social sciences and strategic decision-making. He also made significant contributions to decision theory (see von Neumann–Morgenstern utility theorem). He served as a consultant or co-founder for companies including the Market Research Corporation of America and the original Mathematica Inc. Biography Morgenstern was born in Görlitz in the Prussian Province of Silesia. His mother was rumored to be a daughter of Emperor Frederick III. Morgenstern grew up in Vienna, Austria, where he attended university. In 1925, he graduated from the University of Vienna with a PhD in political science. From 1925 to 1928, he undertook a three-year fellowship financed by the Rockefeller Foundation. After his return in 1928, he became a professor of economics at the Unive ...
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Le Her
Le her (or ''le hère'') is a French card game that dates back to the 16th century. It is quoted by the French poet Marc Papillon de Lasphrise in 1597. Under the name ''coucou'' it is mentioned in Rabelais' long list of games (in Gargantua ''La vie tres horrifique du grand Gargantua, père de Pantagruel jadis composée par M. Alcofribas abstracteur de quinte essence. Livre plein de Pantagruelisme'' according to 's 1542 edition, or simply Gargantua, is the second novel by François ..., 1534). Le Her belongs to the family of Ranter-Go-Round games. It is played with a standard deck of 52 cards by two people, designated the dealer and the receiver. King is ranked high and ace low. To play, the dealer gives one card to the receiver and one to the dealer. The receiver may choose to exchange cards with the dealer, unless the dealer has a king, in which case no exchange occurs. Then, the dealer may choose to exchange with the top card of the deck, unless the top card is a king, in w ...
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James Waldegrave, 1st Earl Waldegrave
James Waldegrave, 1st Earl Waldegrave, (168411 April 1741) was an English diplomat and peer who served as the British ambassador to France from 1730 to 1740. Life Waldegrave was the son of the 1st Baron Waldegrave and Henrietta FitzJames, the illegitimate daughter of James II and his mistress, Arabella Churchill. Educated in France, Waldegrave inherited his father's title in 1690, and, on 20 May 1714, he married Mary Webb (who died in childbirth in 1719), a daughter of Sir John Webb, 3rd Baronet and they had three surviving children: * James Waldegrave, 2nd Earl Waldegrave (1715–1763) *John Waldegrave, 3rd Earl Waldegrave (1718–1784) * Lady Henrietta Waldegrave (1717–1753), married firstly, Lord Edward Herbert, a son of the 2nd Marquess of Powis and had issue; married secondly, John Beard (a singer at Covent Garden). After the death of his wife, he returned to England from the Jacobite court in exile and converted from Roman Catholicism (the reli ...
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Jacobitism
Jacobitism was a political ideology advocating the restoration of the senior line of the House of Stuart to the Monarchy of the United Kingdom, British throne. When James II of England chose exile after the November 1688 Glorious Revolution, the Parliament of England ruled he had "abandoned" the English throne, which was given to his Protestant daughter Mary II of England, and his nephew, her husband William III of England, William III. On the same basis, in April the Convention of Estates (1689), Scottish Convention awarded Mary and William the throne of Scotland. The Revolution created the principle of a contract between monarch and people, which if violated meant the monarch could be removed. A key tenet of Jacobitism was that kings were appointed by God, making the post-1688 regime illegitimate. However, it also functioned as an outlet for popular discontent, and thus was a complex mix of ideas, many opposed by the Stuarts themselves. Conflict between Charles Edward Stuar ...
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Robert B
The name Robert is an ancient Germanic given name, from Proto-Germanic "fame" and "bright" (''Hrōþiberhtaz''). Compare Old Dutch ''Robrecht'' and Old High German ''Hrodebert'' (a compound of ''Hrōþ, Hruod'' () "fame, glory, honour, praise, renown, godlike" and ''berht'' "bright, light, shining"). It is the second most frequently used given name of ancient Germanic origin.Reaney & Wilson, 1997. ''Dictionary of English Surnames''. Oxford University Press. It is also in use Robert (surname), as a surname. Another commonly used form of the name is Rupert (name), Rupert. After becoming widely used in Continental Europe, the name entered England in its Old French form ''Robert'', where an Old English cognate form (''Hrēodbēorht'', ''Hrodberht'', ''Hrēodbēorð'', ''Hrœdbœrð'', ''Hrœdberð'', ''Hrōðberχtŕ'') had existed before the Norman Conquest. The feminine version is Roberta (given name), Roberta. The Italian, Portuguese, and Spanish form is Roberto (given name), ...
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Paul Milgrom
Paul Robert Milgrom (born April 20, 1948) is an American economist. He is the Shirley and Leonard Ely Professor of Humanities and Sciences at the Stanford University School of Humanities and Sciences, a position he has held since 1987. He is a professor in the Stanford School of Engineering as well and a Senior Fellow at the Stanford Institute for Economic Research. Milgrom is an expert in game theory, specifically auction theory and pricing strategies. He is the winner of the 2020 Nobel Memorial Prize in Economic Sciences, together with Robert B. Wilson, "for improvements to auction theory and inventions of new auction formats". He is the co-creator of the no-trade theorem with Nancy Stokey. He is the co-founder of several companies, the most recent of which, Auctionomics, provides software and services for commercial auctions and exchanges. Milgrom and his thesis advisor Wilson designed the auction protocol the FCC uses to determine which phone company gets what cellu ...
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Nobel Memorial Prize In Economic Sciences
The Nobel Memorial Prize in Economic Sciences, officially the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel (), commonly referred to as the Nobel Prize in Economics(), is an award in the field of economic sciences administered by the Nobel Foundation, established in 1968 by Sveriges Riksbank (Sweden's central bank) to celebrate its 300th anniversary and in memory of Alfred Nobel. Although the Prize in Economic Sciences was not one of the original five Nobel Prizes established by Alfred Nobel's will, it is considered a member of the Nobel Prize system, and is administered and referred to along with the Nobel Prizes by the Nobel Foundation. Winners of the Prize in Economic Sciences are chosen in a similar manner to and announced alongside the Nobel Prize recipients, and receive the Prize in Economic Sciences at the Nobel Prize Award Ceremony. The laureates of the Prize in Economic Sciences are selected by the Royal Swedish Academy of Sciences, which ...
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Evolutionary Game Theory
Evolutionary game theory (EGT) is the application of game theory to evolving populations in biology. It defines a framework of contests, strategies, and analytics into which Darwinism, Darwinian competition can be modelled. It originated in 1973 with John Maynard Smith and George R. Price's formalisation of contests, analysed as strategies, and the mathematical criteria that can be used to predict the results of competing strategies. Evolutionary game theory differs from classical game theory in focusing more on the dynamics of strategy change. This is influenced by the frequency of the competing strategies in the population. Evolutionary game theory has helped to explain the basis of altruism (biology), altruistic behaviours in Darwinian evolution. It has in turn become of interest to economists, sociologists, anthropologists, and philosophers. History Classical game theory Classical non-cooperative game theory was conceived by John von Neumann to determine optimal strategies i ...
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Crafoord Prize
The Crafoord Prize () is an annual science prize established in 1980 by Holger Crafoord, a Swedish industrialist, and his wife Anna-Greta Crafoord following a donation to the Royal Swedish Academy of Sciences. It is awarded jointly by the Academy and the Crafoord Foundation in Lund, with the former selecting the laureates. The Prize is awarded in four categories: mathematics and astronomy, Geology, geosciences, Biology, biosciences (with an emphasis on ecology) and polyarthritis, the final one because Holger suffered from severe rheumatoid arthritis in his later years. The disciplines for which the Crafoord Prize is awarded are chosen so as to complement the Nobel Prizes. Only one award is given each year, according to a rotating scheme – astronomy and mathematics, then geosciences, then biosciences. Since 2012, the prizes in astronomy and mathematics are separate and awarded at the same time; prior to this, the disciplines alternated every cycle. A Crafoord Prize in polyarth ...
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John Maynard Smith
John Maynard Smith (6 January 1920 – 19 April 2004) was a British mathematical and theoretical biology, theoretical and mathematical evolutionary biologist and geneticist. Originally an aeronautical engineer during the Second World War, he took a second degree in genetics under the biologist J. B. S. Haldane. Maynard Smith was instrumental in the application of game theory to evolution with George R. Price, and theorised on other problems such as the evolution of sex and signalling theory. Biography Early years John Maynard Smith was born in London, the son of the surgeon Sidney Maynard Smith, but following his father's death in 1928, the family moved to Exmoor, where he became interested in natural history. Quite unhappy with the lack of formal science education at Eton College, Maynard Smith took it upon himself to develop an interest in Darwinism, Darwinian evolutionary theory and mathematics, after having read the work of old Etonian J. B. S. Haldane, whose books were ...
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Evolution
Evolution is the change in the heritable Phenotypic trait, characteristics of biological populations over successive generations. It occurs when evolutionary processes such as natural selection and genetic drift act on genetic variation, resulting in certain characteristics becoming more or less common within a population over successive generations. The process of evolution has given rise to biodiversity at every level of biological organisation. The scientific theory of evolution by natural selection was conceived independently by two British naturalists, Charles Darwin and Alfred Russel Wallace, in the mid-19th century as an explanation for why organisms are adapted to their physical and biological environments. The theory was first set out in detail in Darwin's book ''On the Origin of Species''. Evolution by natural selection is established by observable facts about living organisms: (1) more offspring are often produced than can possibly survive; (2) phenotypic variatio ...
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