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Von Neumann Morgenstern And The Creation Of Game Theory
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Book Synopsis Von Neumann, Morgenstern, and the Creation of Game Theory by : Robert Leonard
Download or read book Von Neumann, Morgenstern, and the Creation of Game Theory written by Robert Leonard and published by Cambridge University Press. This book was released on 2010-06-28 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reconstruction of the creation of game theory in the twentieth century by John von Neumann and Oskar Morgenstern.
Book Synopsis Theory of Games and Economic Behavior by : John Von Neumann
Download or read book Theory of Games and Economic Behavior written by John Von Neumann and published by Diana. This book was released on 2020-01-29 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.
Book Synopsis Toward a History of Game Theory by : E. Roy Weintraub
Download or read book Toward a History of Game Theory written by E. Roy Weintraub and published by Duke University Press. This book was released on 1992 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the 1940s "game theory" emerged from the fields of mathematics and economics to provide a revolutionary new method of analysis. Today game theory provides a language for discussing conflict and cooperation not only for economists, but also for business analysts, sociologists, war planners, international relations theorists, and evolutionary biologists. Toward a History of Game Theory offers the first history of the development, reception, and dissemination of this crucial theory. Drawing on interviews with original members of the game theory community and on the Morgenstern diaries, the first section of the book examines early work in game theory. It focuses on the groundbreaking role of the von Neumann-Morgenstern collaborative work, The Theory of Games and Economic Behavior (1944). The second section recounts the reception of this new theory, revealing just how game theory made its way into the literatures of the time and thus became known among relevant communities of scholars. The contributors explore how game theory became a wedge in opening up the social sciences to mathematical tools and use the personal recollections of scholars who taught at Michigan and Princeton in the late 1940s to show why the theory captivated those practitioners now considered to be "giants" in the field. The final section traces the flow of the ideas of game theory into political science, operations research, and experimental economics. Contributors. Mary Ann Dimand, Robert W. Dimand, Robert J. Leonard, Philip Mirowski, Angela M. O'Rand, Howard Raiffa, Urs Rellstab, Robin E. Rider, William H. Riker, Andrew Schotter, Martin Shubik, Vernon L. Smith
Book Synopsis Classics in Game Theory by : Harold William Kuhn
Download or read book Classics in Game Theory written by Harold William Kuhn and published by Princeton University Press. This book was released on 2020-11-10 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.
Book Synopsis The World the Game Theorists Made by : Paul Erickson
Download or read book The World the Game Theorists Made written by Paul Erickson and published by University of Chicago Press. This book was released on 2015-11-04 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, game theory is central to our understanding of capitalist markets, the evolution of social behavior in animals, and much more. Both the social and biological sciences have seemingly fused around the game. Yet the ascendancy of game theory and theories of rational choice more generally remains a rich source of misunderstanding. To gain a better grasp of the widespread dispersion of game theory and the mathematics of rational choice, Paul Erickson uncovers its history during the poorly understood period between the publication of John von Neumann and Oskar Morgenstern s seminal "Theory of Games and Economic Behavior" in 1944 and the theory s revival in economics in the 1980s. "The World the Game Theorists Made "reveals how the mathematics of rational choice was a common, flexible language that could facilitate wide-ranging debate on some of the great issues of the time. Because it so actively persists in the sciences and public life, assessing the significance of game theory for the postwar sciences is especially critical now."
Book Synopsis Game Theory for Political Scientists by : James D. Morrow
Download or read book Game Theory for Political Scientists written by James D. Morrow and published by Princeton University Press. This book was released on 2020-05-05 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is the mathematical analysis of strategic interaction. In the fifty years since the appearance of von Neumann and Morgenstern's classic Theory of Games and Economic Behavior (Princeton, 1944), game theory has been widely applied to problems in economics. Until recently, however, its usefulness in political science has been underappreciated, in part because of the technical difficulty of the methods developed by economists. James Morrow's book is the first to provide a standard text adapting contemporary game theory to political analysis. It uses a minimum of mathematics to teach the essentials of game theory and contains problems and their solutions suitable for advanced undergraduate and graduate students in all branches of political science. Morrow begins with classical utility and game theory and ends with current research on repeated games and games of incomplete information. The book focuses on noncooperative game theory and its application to international relations, political economy, and American and comparative politics. Special attention is given to models of four topics: bargaining, legislative voting rules, voting in mass elections, and deterrence. An appendix reviews relevant mathematical techniques. Brief bibliographic essays at the end of each chapter suggest further readings, graded according to difficulty. This rigorous but accessible introduction to game theory will be of use not only to political scientists but also to psychologists, sociologists, and others in the social sciences.
Book Synopsis Game Theory and Strategy by : Philip D. Straffin
Download or read book Game Theory and Strategy written by Philip D. Straffin and published by American Mathematical Society. This book was released on 2023-01-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.
Book Synopsis From the Beginnings to 1945 by : Mary Ann Dimand
Download or read book From the Beginnings to 1945 written by Mary Ann Dimand and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume (of three) examines the methodological origins of game theory up to the Second World War. It adds to the understanding of game theory's contentious roots and offers insights into modern applications of the theory.
Book Synopsis A Genealogy of Self-Interest in Economics by : Susumu Egashira
Download or read book A Genealogy of Self-Interest in Economics written by Susumu Egashira and published by Springer Nature. This book was released on 2021-01-29 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to describe the entire developmental history of the human aspects of economics. The issue of “self-interest” is discussed throughout, from pre-Adam Smith to contemporary neuroeconomics, representing a unique contribution to economics. Though the notion of self-interest has been interpreted in several ways by various schools of economics and economists since Smith first placed it at the heart of the field, this is the first book to focus on this important but overlooked topic. Traditionally, economic theory has presupposed that the core of human behavior is self-interest. Nevertheless, some economists, e.g. recent behavioral economists, have cast doubt on this “self-interested” explanation. Further, though many economists have agreed on the central role of self-interest in economic behavior, each economist’s positioning of self-interest in economic theory differs to some degree. This book helps to elucidate the position of self-interest in economic theory. Given its focus, it is a must-read companion, not only on the history of economic thought but also on economic theory. Furthermore, as today’s capitalism is increasingly causing people to wonder just where self-interest lies, it also appeals to general readers.
Book Synopsis An Introductory Course on Mathematical Game Theory by : Julio González-Díaz
Download or read book An Introductory Course on Mathematical Game Theory written by Julio González-Díaz and published by American Mathematical Society. This book was released on 2021-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.
Book Synopsis Game Theory, Alive by : Anna R. Karlin
Download or read book Game Theory, Alive written by Anna R. Karlin and published by American Mathematical Soc.. This book was released on 2017-04-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.
Book Synopsis Prisoner's Dilemma by : William Poundstone
Download or read book Prisoner's Dilemma written by William Poundstone and published by Anchor. This book was released on 1993-01-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: A masterful work of science writing that’s "both a fascinating biography of von Neumann, the Hungarian exile whose mathematical theories were building blocks for the A-bomb and the digital computer, and a brilliant social history of game theory and its role in the Cold War and nuclear arms race" (San Francisco Chronicle). Should you watch public television without pledging?...Exceed the posted speed limit?...Hop a subway turnstile without paying? These questions illustrate the so-called "prisoner's dilemma", a social puzzle that we all face every day. Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann—father of the modern computer and one of the sharpest minds of the century—to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery. Called the "prisoner's dilemma," it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the "preventive war" movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy—alternately accused of justifying arms races and touted as the only hope of preventing them. Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.
Book Synopsis The Computer and the Brain by : John Von Neumann
Download or read book The Computer and the Brain written by John Von Neumann and published by Yale University Press. This book was released on 2000-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the views of one of the greatest mathematicians of the twentieth century on the analogies between computing machines and the living human brain. John von Neumann concludes that the brain operates in part digitally, in part analogically, but uses a peculiar statistical language unlike that employed in the operation of man-made computers. This edition includes a new foreword by two eminent figures in the fields of philosophy, neuroscience, and consciousness.
Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell
Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell and published by Courier Corporation. This book was released on 2012-06-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.
Book Synopsis Imaginary Philosophical Dialogues by : Kenneth Binmore
Download or read book Imaginary Philosophical Dialogues written by Kenneth Binmore and published by Springer Nature. This book was released on 2020-12-23 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: How would Plato have responded if his student Aristotle had ever challenged his idea that our senses perceive nothing more than the shadows cast upon a wall by a true world of perfect ideals? What would Charles Darwin have said to Karl Marx about his claim that dialectical materialism is a scientific theory of evolution? How would Jean-Paul Sartre have reacted to Simone de Beauvoir’s claim that the Marquis de Sade was a philosopher worthy of serious attention? This light-hearted book proposes answers to such questions by imagining dialogues between thirty-three pairs of philosophical sages who were alive at the same time. Sometime famous sages get a much rougher handling than usual, as when Adam Smith beards Immanuel Kant in his Konigsberg den. Sometimes neglected or maligned sages get a chance to say what they really believed, as when Epicurus explains that he wasn’t epicurean. Sometimes the dialogues are about the origins of modern concepts, as when Blaise Pascal and Pierre de Fermat discuss their invention of probability, or when John Nash and John von Neumann discuss the creation of game theory. Even in these scientific cases, the intention is that the protagonists come across as fallible human beings like the rest of us, rather than the intellectual paragons of philosophical textbooks.
Book Synopsis Introduction to the Theory of Games by : J. C. C. McKinsey
Download or read book Introduction to the Theory of Games written by J. C. C. McKinsey and published by Courier Corporation. This book was released on 2012-11-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Advanced calculus a prerequisite. Includes 51 figures and 8 tables. 1952 edition.
Book Synopsis The Man from the Future: The Visionary Ideas of John von Neumann by : Ananyo Bhattacharya
Download or read book The Man from the Future: The Visionary Ideas of John von Neumann written by Ananyo Bhattacharya and published by W. W. Norton & Company. This book was released on 2022-02-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An electrifying biography of one of the most extraordinary scientists of the twentieth century and the world he made. The smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Nuclear weapons and self-replicating spacecrafts. All bear the fingerprints of one remarkable, yet largely overlooked, man: John von Neumann. Born in Budapest at the turn of the century, von Neumann is one of the most influential scientists to have ever lived. A child prodigy, he mastered calculus by the age of eight, and in high school made lasting contributions to mathematics. In Germany, where he helped lay the foundations of quantum mechanics, and later at Princeton, von Neumann’s colleagues believed he had the fastest brain on the planet—bar none. He was instrumental in the Manhattan Project and the design of the atom bomb; he helped formulate the bedrock of Cold War geopolitics and modern economic theory; he created the first ever programmable digital computer; he prophesized the potential of nanotechnology; and, from his deathbed, he expounded on the limits of brains and computers—and how they might be overcome. Taking us on an astonishing journey, Ananyo Bhattacharya explores how a combination of genius and unique historical circumstance allowed a single man to sweep through a stunningly diverse array of fields, sparking revolutions wherever he went. The Man from the Future is an insightful and thrilling intellectual biography of the visionary thinker who shaped our century.
