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Game Theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has applications in all fields of social science, as well as in logic, systems science and computer science. Originally, it addressed two-person zero-sum games, in which each participant's gains or losses are exactly balanced by those of other participants. In the 21st century, game theory applies to a wide range of behavioral relations; it is now an umbrella term for the science of logical decision making in humans, animals, as well as computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum game 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 mathema ...
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Bayes' Rule
In probability theory and statistics, Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately (by conditioning it on their age) than simply assuming that the individual is typical of the population as a whole. One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference. When applied, the probabilities involved in the theorem may have different probability interpretations. With Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence. Bayesian inference is fundamental to Bayesi ...
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Journal Of Theoretical Biology
The ''Journal of Theoretical Biology'' is a biweekly peer-reviewed scientific journal covering theoretical biology, as well as mathematical, computational, and statistical aspects of biology. Some research areas covered by the journal include cell biology, evolutionary biology, population genetics, morphogenesis, and immunology. The journal was established in 1961. Its founding editor-in-chief was English biologist James F. Danielli, who remained editor until his death in 1984. The journal is published by Elsevier and, , the editors-in-chief are Denise Kirschner (University of Michigan Medical School), Mark Chaplain (University of St. Andrews), and Akira Sawaki (Aichi Cancer Center, Nagoya). Lewis Wolpert served as editor-in-chief for more than 55 years. According to the ''Journal Citation Reports'' the journal has a 2020 impact factor of 2.691. Notable articles The following are the most highly cited articles (more than 2000 citations at April 2021) that have been published in ...
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Journal Of Economic Perspectives
The ''Journal of Economic Perspectives'' (JEP) is an economic journal published by the American Economic Association. The journal was established in 1987. It is very broad in its scope. According to its editors its purpose is: #to synthesize and integrate lessons learned from active lines of economic research; #to provide economic analysis of public policy issues; to encourage cross-fertilization of ideas among the fields of thinking; #to offer readers an accessible source for state-of-the-art economic thinking; #to suggest directions for future research; #to provide insights and readings for classroom use; #and to address issues relating to the economics profession.'' Its current editor is Heidi Williams, and its managing editor A managing editor (ME) is a senior member of a publication's management team. Typically, the managing editor reports directly to the editor-in-chief and oversees all aspects of the publication. United States In the United States, a managing edit ...
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Econometrica
''Econometrica'' is a peer-reviewed academic journal of economics, publishing articles in many areas of economics, especially econometrics. It is published by Wiley-Blackwell on behalf of the Econometric Society. The current editor-in-chief is Guido Imbens. History ''Econometrica'' was established in 1933. Its first editor was Ragnar Frisch, recipient of the first Nobel Memorial Prize in Economic Sciences in 1969, who served as an editor from 1933 to 1954. Although ''Econometrica'' is currently published entirely in English, the first few issues also contained scientific articles written in French. Indexing and abstracting ''Econometrica'' is abstracted and indexed in: * Scopus * EconLit * Social Science Citation Index According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 5.844, ranking it 22/557 in the category "Economics". Awards issued The Econometric Society aims to attract high-quality applied work in economics for publication in ''Eco ...
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Signaling Game
In game theory, a signaling game is a simple type of a dynamic Bayesian game.Subsection 8.2.2 in Fudenberg Trole 1991, pp. 326–331 The essence of a signalling game is that one player takes an action, the signal, to convey information to another player, where sending the signal is more costly if they are conveying false information. A manufacturer, for example, might provide a warranty for its product in order to signal to consumers that its product is unlikely to break down. The classic example is of a worker who acquires a college degree not because it increases their skill, but because it conveys their ability to employers. A simple signalling game would have two players, the sender and the receiver. The sender has one of two types that we might call "desirable" and "undesirable" with different payoff functions, where the receiver knows the probability of each type but not which one this particular sender has. The receiver has just one possible type. The sender moves first, ...
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Screening Game
A screening game is a two-player principal–agent type game used in economic and game theoretical modeling. Principal–agent problems are situations where there are two players whose interests are not necessarily matching with each other, and where complete honesty is not optimal for one player. This will lead to strategies where the players exchange information based in their actions which is to some degree noisy. This ambiguity prevents the other player from taking advantage of the first. The game is closely related to signaling games, but there is a difference in how information is exchanged. In the principal-agent model, for instance, there is an employer (the principal) and a worker (the agent). The worker has a given skill level, and chooses the amount of effort he will exert. If the worker knows his ability (which is given at the outset, perhaps by nature), and can acquire credentials or somehow signal that ability to the employer before being offered a wage, then the p ...
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Game Theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has applications in all fields of social science, as well as in logic, systems science and computer science. Originally, it addressed two-person zero-sum games, in which each participant's gains or losses are exactly balanced by those of other participants. In the 21st century, game theory applies to a wide range of behavioral relations; it is now an umbrella term for the science of logical decision making in humans, animals, as well as computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum game 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 mathema ...
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Crawford Sobel
Crawford may refer to: Places Canada * Crawford Bay Airport, British Columbia * Crawford Lake Conservation Area, Ontario United Kingdom * Crawford, Lancashire, a small village near Rainford, Merseyside, England * Crawford, South Lanarkshire, a village in Scotland ** Crawford Castle, a medieval fortification * Crawford Castle, an iron-age fortification, at Spetisbury, Dorset, England * Crawford Priory, a country house about 2 miles south west of Cupar, Fife, Scotland United States * Crawford, Alabama (other), several places * Crawford, Colorado * Crawford, Florida * Crawford, Georgia * Crawford, Maine * Crawford, Mississippi * Crawford, Missouri * Crawford, Nebraska * Crawford, New York * Crawford, Ohio * Crawford, Oklahoma * Crawford, Texas * Crawford Notch, a mountain pass in New Hampshire * Crawford County (other), several counties * Crawford Township (other), several townships Elsewhere * Crawford crater, Australia * Crawford, Cape Town, a suburb o ...
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Nash Equilibria
In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equilibrium strategies of the other players, and no one has anything to gain by changing only one's own strategy. The principle of Nash equilibrium dates back to the time of Cournot, who in 1838 applied it to competing firms choosing outputs. If each player has chosen a strategy an action plan based on what has happened so far in the game and no one can increase one's own expected payoff by changing one's strategy while the other players keep their's unchanged, then the current set of strategy choices constitutes a Nash equilibrium. If two players Alice and Bob choose strategies A and B, (A, B) is a Nash equilibrium if Alice has no other strategy available that does better than A at maximizing her payoff in response to Bob choosing B, and Bob ...
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