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Stable Matching Theory
In economics, stable matching theory or simply matching theory, is the study of matching markets. Matching markets are distinguished from Walrasian markets in the focus of who matches with whom. Matching theory typically examines matching in the absence of search frictions, differentiating it from search and matching theory. In 2012, the Nobel Memorial Prize in Economic Sciences was awarded to Alvin E. Roth and Lloyd Shapley for their work on matching theory. Overview Matching has two main categories. One category is matching with nontransferrable utility (NTU), where match payoffs are nontransferable and stability requires individual rationality and double coincidence of wants. This strand of the literature emerged from the Gale and Shapley (1962) introduction of the stable marriage problem. The second category is matching with transferable utility (TU). The latter dates back to work on Monge (1781) and Kantorovich(1942) work on optimal transportation theory, in particular fol ...
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Economics
Economics () is the social science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and interactions of Agent (economics), economic agents and how economy, economies work. Microeconomics analyzes what's viewed as basic elements in the economy, including individual agents and market (economics), markets, their interactions, and the outcomes of interactions. Individual agents may include, for example, households, firms, buyers, and sellers. Macroeconomics analyzes the economy as a system where production, consumption, saving, and investment interact, and factors affecting it: employment of the resources of labour, capital, and land, currency inflation, economic growth, and public policies that have impact on glossary of economics, these elements. Other broad distinctions within economics include those between positive economics, desc ...
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Transportation Theory (mathematics)
In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of resources. The problem was formalized by the French mathematician Gaspard Monge in 1781.G. Monge. ''Mémoire sur la théorie des déblais et des remblais. Histoire de l’Académie Royale des Sciences de Paris, avec les Mémoires de Mathématique et de Physique pour la même année'', pages 666–704, 1781. In the 1920s A.N. Tolstoi was one of the first to study the transportation problem mathematically. In 1930, in the collection ''Transportation Planning Volume I'' for the National Commissariat of Transportation of the Soviet Union, he published a paper "Methods of Finding the Minimal Kilometrage in Cargo-transportation in space". Major advances were made in the field during World War II by the Soviet mathematician and economist Leonid Kantorovich.L. Kantorovich. ''On the translocation of masses.'' C.R. (Doklady) Acad. Sci. URSS (N.S. ...
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Search And Matching Theory
In economics, search and matching theory, is a mathematical framework attempting to describe the formation of mutually beneficial relationships over time. It is closely related to stable matching theory. Search and matching theory has been especially influential in labor economics, where it has been used to describe the formation of new jobs. Search and matching theory evolved from an earlier framework called 'search theory'. Where search theory studies the microeconomic decision of an individual searcher, search and matching theory studies the macroeconomic outcome when one or more types of searchers interact. It offers a way of modeling markets in which frictions prevent instantaneous adjustments of the level of economic activity. Among other applications, it has been used as a framework for studying frictional unemployment. One of the founders of search and matching theory is Dale T. Mortensen of Northwestern University. A textbook treatment of the matching approach to l ...
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National Resident Matching Program
The National Resident Matching Program (NRMP), also called The Match, is a United States-based private non-profit non-governmental organization created in 1952 to place U.S. medical school students into residency training programs located in United States teaching hospitals. Its mission has since expanded to include the placement of U.S. citizen and non-U.S. citizen international medical school students and graduates into residency and fellowship training programs. In addition to the annual Main Residency Match that in 2021 encompassed more than 48,000 applicants and 38,000 positions, the NRMP conducts Fellowship Matches for more than 60 subspecialties through its Specialties Matching Service (SMS). The NRMP is sponsored by a Board of Directors that includes medical school deans, teaching hospital executives, graduate medical education program directors, medical students and residents, and one public member. NRMP International, a subsidiary of the National Resident Matching Progr ...
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Market Design
Market design is a practical methodology for creation of markets of certain properties, which is partially based on mechanism design. In some markets, prices may be used to induce the desired outcomes — these markets are the study of auction theory. In other markets, prices may not be used — these markets are the study of matching theory. In his 2008, Nemmers Prize lecture, Market Design and Stanford University economist Paul Milgrom commented on the interdisciplinary nature of market design: "Market design is a kind of economic engineering, utilizing laboratory research, game theory, algorithms, simulations, and more. Its challenges inspire us to rethink longstanding fundamentals of economic theory."Milgrom Nemmers Prize Presentation Slides, 2008
Milgrom is, along with ...
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Stable Roommates Problem
In mathematics, economics and computer science, particularly in the fields of combinatorics, game theory and algorithms, the stable-roommate problem (SRP) is the problem of finding a stable matching for an even-sized set. A matching is a separation of the set into disjoint pairs ("roommates"). The matching is ''stable'' if there are no two elements which are not roommates and which both prefer each other to their roommate under the matching. This is distinct from the stable-marriage problem in that the stable-roommates problem allows matches between any two elements, not just between classes of "men" and "women". It is commonly stated as: : In a given instance of the stable-roommates problem (SRP), each of ''2n'' participants ranks the others in strict order of preference. A matching is a set of ''n'' disjoint pairs of participants. A matching ''M'' in an instance of SRP is stable if there are no two participants ''x'' and ''y'', each of whom prefers the other to their partner i ...
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Journal Of Economic Literature
The ''Journal of Economic Literature'' is a peer-reviewed academic journal, published by the American Economic Association, that surveys the academic literature in economics. It was established in 1963 as the ''Journal of Economic Abstracts'',Journal of Economic Literature: About JEL
retrieved 6 May 2011.
and is currently one of the highest ranked journals in economics.
/ref> As a , it mainly features essays and reviews of recent economic theories (as opposed to the latest research). The

Gary Becker
Gary Stanley Becker (; December 2, 1930 – May 3, 2014) was an American economist who received the 1992 Nobel Memorial Prize in Economic Sciences. He was a professor of economics and sociology at the University of Chicago, and was a leader of the third generation of the Chicago school of economics. Becker was awarded the Nobel Memorial Prize in Economic Sciences in 1992 and received the United States Presidential Medal of Freedom in 2007. A 2011 survey of economics professors named Becker their favorite living economist over the age of 60, followed by Kenneth Arrow and Robert Solow. Economist Justin Wolfers called him "the most important social scientist in the past 50 years." Becker was one of the first economists to analyze topics that had been researched in sociology, including racial discrimination, crime, family organization, and rational addiction. He argued that many different types of human behavior can be seen as rational and utility-maximizing, including those that a ...
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Martin Shubik
Martin Shubik (1926-2018) was an American mathematical economist who specialized in game theory, defense analysis, and the theory of money and financial institutions. The latter was his main research interest and he coined the term "mathematical institutional economics" in 1959 to describe it and referred to it as his "white whale" (only considering it caught after publishing his final five books on the topic). He spent the majority of his career at Yale University, where he was heavily involved with the Cowles Foundation for Research in Economics, and launched the virtuaMuseum of Money and Financial Institutions Outside of economics, he began studying inclusion body myositis (IBM) after a 2003 diagnosis. He provided seed money to the Yale School of Public Health for thIBM Disease Registryin 2011, a survey was conducted in 2012-2013, and he is a co-author on a 2015 paper about the initial results (along with his son-in-law Seth Richards-Shubik). Personal life Martin Shubik was ...
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Beckmann
Beckmann is a German surname. Notable people with the surname include: *Astrid Beckmann (born 1957), German physicist *Ernst Otto Beckmann (1853–1923), German chemist and discoverer of the Beckmann rearrangement *Johann Beckmann (1739–1811), German scientific author *Juan Domingo Beckmann (born 1967), Mexican businessman * Juan Beckmann Vidal (born 1940), Mexican businessman *Ludwig Beckmann (died 20 January 1965), German First World War flying ace * Matthias Beckmann (born 1984), German jazz musician *Max Beckmann (1884–1950), German painter *Petr Beckmann (1924–1993), Czech-American dissident physicist *Reinhold Beckmann (born 1956), German journalist and TV presenter *Rudolf Beckmann (1910–1943), German Nazi SS-Oberscharführer * Josef Beckmann (1920–2001), World War II German lieutenant See also *Beckman (surname) Beckman is a surname. Notable people with the surname include: *Åsa Beckman (born 1961), Swedish literary critic *Arnold Orville ...
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Koopmans
Koopmans is a Dutch occupational surname meaning " merchant's".Koopmans
at the Database of Surnames in The Netherlands Notable people with the surname include: * Aart Koopmans (1946–2007), Dutch businessman * Ger Koopmans (born 1962), Dutch CDA politician * Leo Koopmans (born 1953), Dutch ice hockey player * Luuk Koopmans (born 1993), Dutch football goalkeeper *

Leonid Kantorovich
Leonid Vitalyevich Kantorovich ( rus, Леони́д Вита́льевич Канторо́вич, , p=lʲɪɐˈnʲit vʲɪˈtalʲjɪvʲɪtɕ kəntɐˈrovʲɪtɕ, a=Ru-Leonid_Vitaliyevich_Kantorovich.ogg; 19 January 19127 April 1986) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of linear programming. He was the winner of the Stalin Prize in 1949 and the Nobel Memorial Prize in Economic Sciences in 1975. Biography Kantorovich was born on 19 January 1912, to a Russian Jewish family. His father was a doctor practicing in Saint Petersburg. In 1926, at the age of fourteen, he began his studies at Leningrad State University. He graduated from the Faculty of Mathematics and Mechanics in 1930, and began his graduate studies. In 1934, at the age of 22 years, he became a full professor. Later, Kantorovich worked for the Soviet government. He was given the task of opti ...
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