Lloyd Shapley
   HOME



picture info

Lloyd Shapley
Lloyd Stowell Shapley (; June 2, 1923 – March 12, 2016) was an American mathematician and Nobel Memorial Prize-winning economist. He contributed to the fields of mathematical economics and especially game theory. Shapley is generally considered one of the most important contributors to the development of game theory since the work of von Neumann and Morgenstern. With Alvin E. Roth, Shapley won the 2012 Nobel Memorial Prize in Economic Sciences "for the theory of stable allocations and the practice of market design." Life and career Lloyd Shapley was born on June 2, 1923, in Cambridge, Massachusetts, one of the sons of astronomers Harlow Shapley and Martha Betz Shapley, both from Missouri. He attended Phillips Exeter Academy and was a student at Harvard when he was drafted in 1943. He served in the United States Army Air Corps in Chengdu, China and received the Bronze Star decoration for breaking the Soviet weather code. After the war, Shapley returned to Harvard and ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Cambridge, Massachusetts
Cambridge ( ) is a city in Middlesex County, Massachusetts, United States. It is a suburb in the Greater Boston metropolitan area, located directly across the Charles River from Boston. The city's population as of the 2020 United States census, 2020 U.S. census was 118,403, making it the most populous city in the county, the List of municipalities in Massachusetts, fourth-largest in Massachusetts behind Boston, Worcester, Massachusetts, Worcester, and Springfield, Massachusetts, Springfield, and List of cities in New England by population, ninth-most populous in New England. The city was named in honor of the University of Cambridge in Cambridge, England, which was an important center of the Puritans, Puritan theology that was embraced by the town's founders. Harvard University, an Ivy League university founded in Cambridge in 1636, is the oldest institution of higher learning in the United States. The Massachusetts Institute of Technology (MIT), Lesley University, and Hult Inte ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Bronze Star Medal
The Bronze Star Medal (BSM) is a Awards and decorations of the United States Armed Forces, United States Armed Forces decoration awarded to members of the United States Armed Forces for either heroic achievement, heroic service, meritorious achievement, or meritorious service in a Combat, combat zone. When the medal is awarded by the United States Army, Army, United States Air Force, Air Force, or United States Space Force, Space Force for acts of valor in combat, the "V" device is authorized for wear on the medal. When the medal is awarded by the United States Navy, Navy, United States Marine Corps, Marine Corps, or United States Coast Guard, Coast Guard for acts of valor or meritorious service in combat, the "V" device#Navy, Marine Corps, and Coast Guard, Combat "V" is authorized for wear on the medal. Officers from the other Uniformed services of the United States, Uniformed Services of the United States are eligible to receive this award, as are foreign soldiers who have ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




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 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

John Von Neumann
John von Neumann ( ; ; December 28, 1903 – February 8, 1957) was a Hungarian and American mathematician, physicist, computer scientist and engineer. Von Neumann had perhaps the widest coverage of any mathematician of his time, integrating Basic research, pure and Applied science#Applied research, applied sciences and making major contributions to many fields, including mathematics, physics, economics, computing, and statistics. He was a pioneer in building the mathematical framework of quantum physics, in the development of functional analysis, and in game theory, introducing or codifying concepts including Cellular automaton, cellular automata, the Von Neumann universal constructor, universal constructor and the Computer, digital computer. His analysis of the structure of self-replication preceded the discovery of the structure of DNA. During World War II, von Neumann worked on the Manhattan Project. He developed the mathematical models behind the explosive lense ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

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 ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Mathematical Economics
Mathematical economics is the application of Mathematics, mathematical methods to represent theories and analyze problems in economics. Often, these Applied mathematics#Economics, applied methods are beyond simple geometry, and may include differential and integral calculus, Recurrence relation, difference and differential equations, Matrix (mathematics), matrix algebra, mathematical programming, or other Computational economics, computational methods.TOC.
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, positiv ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Economist
An economist is a professional and practitioner in the social sciences, social science discipline of economics. The individual may also study, develop, and apply theories and concepts from economics and write about economic policy. Within this field there are many sub-fields, ranging from the broad philosophy, philosophical theory, theories to the focused study of minutiae within specific Market (economics), markets, macroeconomics, macroeconomic analysis, microeconomics, microeconomic analysis or financial statement analysis, involving analytical methods and tools such as econometrics, statistics, Computational economics, economics computational models, financial economics, regulatory impact analysis and mathematical economics. Professions Economists work in many fields including academia, government and in the private sector, where they may also "study data and statistics in order to spot trends in economic activity, economic confidence levels, and consumer attitudes. They ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Nobel Memorial Prize
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 also ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

RAND Corporation
The RAND Corporation, doing business as RAND, is an American nonprofit global policy think tank, research institute, and public sector consulting firm. RAND engages in research and development (R&D) in several fields and industries. Since the 1950s, RAND research has helped inform United States policy decisions on a wide variety of issues, including the Cold War space race, the U.S. involvement in the Vietnam War, the U.S.–Soviet nuclear arms confrontation, the creation of the Great Society social welfare programs, and national health care. RAND originated as "Project RAND" (from the phrase "research and development") in the post-war period immediately after World War II. The U.S. Army Air Forces established Project RAND with the objective of investigating long-range planning of future weapons. Douglas Aircraft Company was granted a contract to research intercontinental warfare. Project RAND later evolved into RAND, and expanded its research into civilian fields suc ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

University Of California, Los Angeles
The University of California, Los Angeles (UCLA) is a public university, public Land-grant university, land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the California State Normal School which later evolved into San Jose State University, San José State University. The branch was transferred to the University of California to become the Southern Branch of the University of California in 1919, making it the second-oldest of the ten-campus University of California system after the University of California, Berkeley. UCLA offers 337 undergraduate and graduate degree programs in a range of disciplines, enrolling about 31,600 undergraduate and 14,300 graduate and professional students annually. It received 174,914 undergraduate applications for Fall 2022, including transfers, the most of any Higher education in the United States, university in the United Stat ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Economics
Economics () is a behavioral 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 analyses what is viewed as basic elements within economy, economies, 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 analyses economies as systems where production, distribution, consumption, savings, and Expenditure, investment expenditure interact; and the factors of production affecting them, such as: Labour (human activity), labour, Capital (economics), capital, Land (economics), land, and Entrepreneurship, enterprise, inflation, economic growth, and public policies that impact gloss ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]