Mathematical Theory of Zero-sum Two-person Games with a Finite Number Or a Continuum of Strategies

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Theory of Zero-sum Two-person Games with a Finite Number Or a Continuum of Strategies by : Melvin Dresher

Download or read book Mathematical Theory of Zero-sum Two-person Games with a Finite Number Or a Continuum of Strategies written by Melvin Dresher and published by . This book was released on 1949 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Games and Statistical Decisions

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Publisher : Courier Corporation
ISBN 13 : 0486150895
Total Pages : 388 pages
Book Rating : 4.4/5 (861 download)

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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.

Von Neumann, Morgenstern, and the Creation of Game Theory

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Publisher : Cambridge University Press
ISBN 13 : 052156266X
Total Pages : 421 pages
Book Rating : 4.5/5 (215 download)

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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.

Toward a History of Game Theory

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Publisher : Duke University Press
ISBN 13 : 9780822312536
Total Pages : 320 pages
Book Rating : 4.3/5 (125 download)

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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

Machine Dreams

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Publisher : Cambridge University Press
ISBN 13 : 9780521775267
Total Pages : 674 pages
Book Rating : 4.7/5 (752 download)

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Book Synopsis Machine Dreams by : Philip Mirowski

Download or read book Machine Dreams written by Philip Mirowski and published by Cambridge University Press. This book was released on 2002 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first cross-over book into the history of science written by an historian of economics. It shows how 'history of technology' can be integrated with the history of economic ideas. The analysis combines Cold War history with the history of postwar economics in America and later elsewhere, revealing that the Pax Americana had much to do with abstruse and formal doctrines such as linear programming and game theory. It links the literature on 'cyborg' to economics, an element missing in literature to date. The treatment further calls into question the idea that economics has been immune to postmodern currents, arguing that neoclassical economics has participated in the deconstruction of the integral 'self'. Finally, it argues for an alliance of computational and institutional themes, and challenges the widespread impression that there is nothing else besides American neoclassical economic theory left standing after the demise of Marxism.

Memorandum

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Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Memorandum by : Rand Corporation

Download or read book Memorandum written by Rand Corporation and published by . This book was released on 1954 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Game Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1118030656
Total Pages : 437 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Game Theory by : E. N. Barron

Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental introduction to modern game theory from a mathematical viewpoint Game theory arises in almost every fact of human and inhuman interaction since oftentimes during these communications objectives are opposed or cooperation is viewed as an option. From economics and finance to biology and computer science, researchers and practitioners are often put in complex decision-making scenarios, whether they are interacting with each other or working with evolving technology and artificial intelligence. Acknowledging the role of mathematics in making logical and advantageous decisions, Game Theory: An Introduction uses modern software applications to create, analyze, and implement effective decision-making models. While most books on modern game theory are either too abstract or too applied, this book provides a balanced treatment of the subject that is both conceptual and hands-on. Game Theory introduces readers to the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing. A unique feature of this book is the use of Maple to find the values and strategies of games, and in addition, it aids in the implementation of algorithms for the solution or visualization of game concepts. Maple is also utilized to facilitate a visual learning environment of game theory and acts as the primary tool for the calculation of complex non-cooperative and cooperative games. Important game theory topics are presented within the following five main areas of coverage: Two-person zero sum matrix games Nonzero sum games and the reduction to nonlinear programming Cooperative games, including discussion of both the Nucleolus concept and the Shapley value Bargaining, including threat strategies Evolutionary stable strategies and population games Although some mathematical competence is assumed, appendices are provided to act as a refresher of the basic concepts of linear algebra, probability, and statistics. Exercises are included at the end of each section along with algorithms for the solution of the games to help readers master the presented information. Also, explicit Maple and Mathematica® commands are included in the book and are available as worksheets via the book's related Web site. The use of this software allows readers to solve many more advanced and interesting games without spending time on the theory of linear and nonlinear programming or performing other complex calculations. With extensive examples illustrating game theory's wide range of relevance, this classroom-tested book is ideal for game theory courses in mathematics, engineering, operations research, computer science, and economics at the upper-undergraduate level. It is also an ideal companion for anyone who is interested in the applications of game theory.

Prisoners of Reason

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Publisher : Cambridge University Press
ISBN 13 : 1316445208
Total Pages : 365 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Prisoners of Reason by : S. M. Amadae

Download or read book Prisoners of Reason written by S. M. Amadae and published by Cambridge University Press. This book was released on 2016-01-14 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is capitalism inherently predatory? Must there be winners and losers? Is public interest outdated and free-riding rational? Is consumer choice the same as self-determination? Must bargainers abandon the no-harm principle? Prisoners of Reason recalls that classical liberal capitalism exalted the no-harm principle. Although imperfect and exclusionary, modern liberalism recognized individual human dignity alongside individuals' responsibility to respect others. Neoliberalism, by contrast, views life as ceaseless struggle. Agents vie for scarce resources in antagonistic competition in which every individual seeks dominance. This political theory is codified in non-cooperative game theory; the neoliberal citizen and consumer is the strategic rational actor. Rational choice justifies ends irrespective of means. Money becomes the medium of all value. Solidarity and good will are invalidated. Relationships are conducted on a quid pro quo basis. However, agents can freely opt out of this cynical race to the bottom by embracing a more expansive range of coherent action.

Introducing Game Theory and its Applications

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Publisher : CRC Press
ISBN 13 : 104009189X
Total Pages : 342 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Introducing Game Theory and its Applications by : Elliott Mendelson

Download or read book Introducing Game Theory and its Applications written by Elliott Mendelson and published by CRC Press. This book was released on 2024-08-02 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory. It can be used as a class textbook or for self-study. Introducing Game Theory and its Applications, Second Edition presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the authors begin with a chapter devoted to combinatorial games--a topic neglected or treated minimally in most other texts. The focus then shifts to two-person zero-sum games and their solutions. Here the authors present the simplex method based on linear programming for solving these games and develop within this presentation the required background. The final chapter presents some of the fundamental ideas and tools of non-zero-sum games and games with more than two players, including an introduction to cooperative game theory. The book is suitable for a first undergraduate course in game theory, or a graduate course for students with limited previous exposure. It is useful for students who need to learn some game theory for a related subject (e.g., microeconomics) and have a limited mathematical background. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences. The authors hope this book breeds curiosity about the subject as its design is meant to to satisfy the readers. The book will prepare readers for deeper study of game theory applications in many fields of study.

Game Theory and Economic Analysis

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Publisher : Routledge
ISBN 13 : 1134511183
Total Pages : 202 pages
Book Rating : 4.1/5 (345 download)

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Book Synopsis Game Theory and Economic Analysis by : Christian Schmidt

Download or read book Game Theory and Economic Analysis written by Christian Schmidt and published by Routledge. This book was released on 2002-06-20 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the huge variety of current contributions of game theory to economics. The reader is taken through a concise history of game theory and exposed to original pieces of work that are significant to game theory as a whole.

Democracy in Exile

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Publisher : Cornell University Press
ISBN 13 : 1501712039
Total Pages : 407 pages
Book Rating : 4.5/5 (17 download)

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Book Synopsis Democracy in Exile by : Daniel Bessner

Download or read book Democracy in Exile written by Daniel Bessner and published by Cornell University Press. This book was released on 2018-04-15 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone interested in the history of U.S. foreign relations, Cold War history, and twentieth century intellectual history will find this impressive biography of Hans Speier, one of the most influential figures in American defense circles of the twentieth century, a must-read. In Democracy in Exile, Daniel Bessner shows how the experience of the Weimar Republic’s collapse and the rise of Nazism informed Hans Speier’s work as an American policymaker and institution builder. Bessner delves into Speier’s intellectual development, illuminating the ideological origins of the expert-centered approach to foreign policymaking and revealing the European roots of Cold War liberalism. Democracy in Exile places Speier at the center of the influential and fascinating transatlantic network of policymakers, many of them German émigrés, who struggled with the tension between elite expertise and democratic politics. Speier was one of the most prominent intellectuals among this cohort, and Bessner traces his career, in which he advanced from university intellectual to state expert, holding a key position at the RAND Corporation and serving as a powerful consultant to the State Department and Ford Foundation, across the mid-twentieth century. Bessner depicts the critical role Speier played in the shift in American intellectual history in which hundreds of social scientists left their universities and contributed to the creation of an expert-based approach to U.S. foreign relations, in the process establishing close connections between governmental and nongovernmental organizations. As Bessner writes: to understand the rise of the defense intellectual, we must understand Hans Speier.

The History Of Game Theory, Volume 1

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Publisher : Routledge
ISBN 13 : 113490780X
Total Pages : 200 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis The History Of Game Theory, Volume 1 by : Mary-Ann Dimand

Download or read book The History Of Game Theory, Volume 1 written by Mary-Ann Dimand and published by Routledge. This book was released on 1996-08-08 with total page 200 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.

Game Theory

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Publisher : Elsevier
ISBN 13 : 0857099698
Total Pages : 307 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Game Theory by : A. J. Jones

Download or read book Game Theory written by A. J. Jones and published by Elsevier. This book was released on 2000-12-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written engagingly and with agreeable humour, this book balances a light touch with a rigorous yet economical account of the theory of games and bargaining models. It provides a precise interpretation, discussion and mathematical analysis for a wide range of "game-like problems in economics, sociology, strategic studies and war.There is first an informal introduction to game theory, which can be understood by non-mathematicians, which covers the basic ideas of extensive form, pure and mixed strategies and the minimax theorem. The general theory of non-cooperative games is then given a detailed mathematical treatment in the second chapter. Next follows a "first class account of linear programming, theory and practice, terse, rigorous and readable, which is applied as a tool to matrix games and economics from duality theory via the equilibrium theorem, with detailed explanations of computational aspects of the simplex algorithm.The remaining chapters give an unusually comprehensive but concise treatment of cooperative games, an original account of bargaining models, with a skillfully guided tour through the Shapley and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies. - Balances a light touch with a rigorous yet economical account of the theory of games and bargaining models - Shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice - Based on a series of lectures given by the author in the theory of games at Royal Holloway College

Books and Pamphlets, Including Serials and Contributions to Periodicals

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Publisher :
ISBN 13 :
Total Pages : 1142 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Books and Pamphlets, Including Serials and Contributions to Periodicals by : Library of Congress. Copyright Office

Download or read book Books and Pamphlets, Including Serials and Contributions to Periodicals written by Library of Congress. Copyright Office and published by . This book was released on 1949 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Memorandum -

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Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Memorandum - by :

Download or read book Memorandum - written by and published by . This book was released on 1961 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research Memorandum

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Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Research Memorandum by :

Download or read book Research Memorandum written by and published by . This book was released on 1947 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Existence and Stability of Nash Equilibrium

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Publisher : World Scientific
ISBN 13 : 9814390658
Total Pages : 153 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Existence and Stability of Nash Equilibrium by : Guilherme Carmona

Download or read book Existence and Stability of Nash Equilibrium written by Guilherme Carmona and published by World Scientific. This book was released on 2013 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field. Book jacket.