Toward a History of Game Theory


Book Description

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




From the Beginnings to 1945


Book Description

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.




The History Of Game Theory, Volume 1


Book Description

Game Theory - the formal modelling of conflict and cooperation - first emerged as a recognized field with a publication of John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behaviour in 1944. Since then, game-theoretic thinking about choice of strategies and the interdependence of people's actions has influenced all the social s




Handbook of Game Theory with Economic Applications


Book Description

This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes




Game Theory


Book Description

This is the first of a two-volume set that provides an introduction to non-cooperative Game Theory. Volume 1 covers the basic concepts, while Volume 2 is devoted to advanced topics.This volume is divided into two parts: Part I deals with games with ordinal payoffs, while Part II covers games with cardinal payoffs. In each part we discuss both strategic-form games and dynamic games. This volume is relatively short (approximately 260 pages) and richly illustrated with approximately 200 figures. It is suitable for both self-study and as the basis for an undergraduate course in game theory as well as (together with Volume 2) a first-year graduate-level class. It is written to be accessible to anybody with high-school level knowledge of mathematics. At the end of each chapter there is a collection of exercises accompanied by detailed answers. Volume 1 contains approximately 90 exercises.




Von Neumann, Morgenstern, and the Creation of Game Theory


Book Description

A reconstruction of the creation of game theory in the twentieth century by John von Neumann and Oskar Morgenstern.




Game Theory: A Very Short Introduction


Book Description

Games are played everywhere: from economics to evolutionary biology, and from social interactions to online auctions. This title shows how to play such games in a rational way, and how to maximize their outcomes.




Game Theory and Politics


Book Description

DIVMany illuminating and instructive examples of the applications of game theoretic models to problems in political science appear in this volume, which requires minimal mathematical background. 1975 edition. 24 figures. /div




The Complete Idiot's Guide to Game Theory


Book Description

Gain some insight into the game of life... Game Theory means rigorous strategic thinking. It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into: • The history of the discipline made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind • The role of social behavior and psychology in this amazing discipline • How important game theory has become in our society and why




The World the Game Theorists Made


Book Description

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."




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