Mathematical Social Sciences

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Game theory is the study of mathematical models of strategic interactions among rational agents. It has applications in many fields of social science, used extensively in economics as well as in logic, systems science and computer science. Traditional 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 21st century, game theory applies to a wider range of behavioral relations, and it is now an umbrella term for the science of rational decision making in humans, animals, as well as computers.

<span class="mw-page-title-main">Herbert A. Simon</span> American political scientist (1916–2001)

Herbert Alexander Simon was an American political scientist whose work also influenced the fields of computer science, economics, and cognitive psychology. His primary research interest was decision-making within organizations and he is best known for the theories of "bounded rationality" and "satisficing". He received the Nobel Memorial Prize in Economic Sciences in 1978 and the Turing Award in computer science in 1975. His research was noted for its interdisciplinary nature, spanning the fields of cognitive science, computer science, public administration, management, and political science. He was at Carnegie Mellon University for most of his career, from 1949 to 2001, where he helped found the Carnegie Mellon School of Computer Science, one of the first such departments in the world.

Behavioral economics is the study of the psychological, cognitive, emotional, cultural and social factors involved in the decisions of individuals or institutions, and how these decisions deviate from those implied by classical economic theory.

<span class="mw-page-title-main">John Hicks</span> British economist (1904–1989)

Sir John Richard Hicks was a British economist. He is considered one of the most important and influential economists of the twentieth century. The most familiar of his many contributions in the field of economics were his statement of consumer demand theory in microeconomics, and the IS–LM model (1937), which summarised a Keynesian view of macroeconomics. His book Value and Capital (1939) significantly extended general-equilibrium and value theory. The compensated demand function is named the Hicksian demand function in memory of him.

<span class="mw-page-title-main">Oskar Morgenstern</span> German economist (1902–1977)

Oskar Morgenstern was a German-born 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.

Philosophy and economics studies topics such as public economics, behavioural economics, rationality, justice, history of economic thought, rational choice, the appraisal of economic outcomes, institutions and processes, the status of highly idealized economic models, the ontology of economic phenomena and the possibilities of acquiring knowledge of them.

Social choice theory or social choice is a branch of economics dealing with the analysis of rules for combining individual opinions, preferences, or measures of well-being to make collective decisions for society as a whole.

<span class="mw-page-title-main">Kenneth Binmore</span> English mathematician and game theorist born 1940

Kenneth George "Ken" Binmore, is an English mathematician, economist, and game theorist, a Professor Emeritus of Economics at University College London (UCL) and a Visiting Emeritus Professor of Economics at the University of Bristol. As a founder of modern economic theory of bargaining, he made important contributions to the foundations of game theory, experimental economics, evolutionary game theory and analytical philosophy. He took up economics after holding the Chair of Mathematics at the London School of Economics. The switch has put him at the forefront of developments in game theory. His other interests include political and moral philosophy, decision theory, and statistics. He has written over 100 scholarly papers and 14 books.

Economic methodology is the study of methods, especially the scientific method, in relation to economics, including principles underlying economic reasoning. In contemporary English, 'methodology' may reference theoretical or systematic aspects of a method. Philosophy and economics also takes up methodology at the intersection of the two subjects.

Games and Economic Behavior (GEB) is a journal of game theory published by Elsevier. Founded in 1989, the journal's stated objective is to communicate game-theoretic ideas across theory and applications. It is considered to be the leading journal of game theory and one of the top journals in economics, and it is one of the two official journals of the Game Theory Society. Apart from game theory and economics, the research areas of the journal also include applications of game theory in political science, biology, computer science, mathematics and psychology.

The branches of science, also referred to as sciences, scientific fields or scientific disciplines, are commonly divided into three major groups:

<span class="mw-page-title-main">Roger Myerson</span> American mathematician

Roger Bruce Myerson is an American economist and professor at the University of Chicago. He holds the title of the David L. Pearson Distinguished Service Professor of Global Conflict Studies at The Pearson Institute for the Study and Resolution of Global Conflicts in the Harris School of Public Policy, the Griffin Department of Economics, and the college. Previously, he held the title The Glen A. Lloyd Distinguished Service Professor of Economics. In 2007, he was the winner of the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel with Leonid Hurwicz and Eric Maskin for "having laid the foundations of mechanism design theory." He was elected a Member of the American Philosophical Society in 2019.

<span class="mw-page-title-main">Applied mathematics</span> Application of mathematical methods to other fields

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models.

<span class="mw-page-title-main">Ehud Kalai</span> American economist

Ehud Kalai is a prominent Israeli American game theorist and mathematical economist known for his contributions to the field of game theory and its interface with economics, social choice, computer science and operations research. He was the James J. O’Connor Distinguished Professor of Decision and Game Sciences at Northwestern University, 1975-2017, and currently is a Professor Emeritus of Managerial Economics and Decision Sciences.

Alain A. Lewis is an American mathematician. A student of the mathematical economist Kenneth Arrow, Lewis is credited by the historian of economics Philip Mirowski with making Arrow aware of computational limits to economic agency.

Hervé Moulin is a French mathematician who is the Donald J. Robertson Chair of Economics at the Adam Smith Business School at the University of Glasgow. He is known for his research contributions in mathematical economics, in particular in the fields of mechanism design, social choice, game theory and fair division. He has written five books and over 100 peer-reviewed articles.

Quantum economics is an emerging research field which applies mathematical methods and ideas from quantum physics to the field of economics. It is motivated by the belief that economic processes such as financial transactions have much in common with quantum processes, and can be appropriately modeled using the quantum formalism. It draws on techniques from the related areas of quantum finance and quantum cognition, and is a sub-field of quantum social science.

<span class="mw-page-title-main">Ismat Beg</span>

Ismat Beg, FPAS, FIMA, is a Pakistani mathematician and researcher. Beg is a professor at Lahore School of Economics, Higher Education Commission Distinguished National Professor and an honorary full professor at the Mathematics Division at the Ruggero Santilli Institute for Basic Research, Florida, US. He has an enthusiastic and interactive teaching style and is famous for saying “please come on the board” when posed with a question in class. This helps uplift the students’ confidence.

Chew Soo Hong is a Singaporean economist who is Professor at the National University of Singapore and an adjunct professor at the Hong Kong University of Science and Technology. He is considered one of the pioneers in axiomatic non-expected utility models.

<span class="mw-page-title-main">Aldo Rustichini</span> Italian-born American economist

Aldo Rustichini is an Italian-born American economist, academic and researcher. He is a professor of economics at University of Minnesota, where is also associated with the Interdisciplinary Center for Cognitive Sciences.