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Mathematical Theory Of Zero Sum Two Person Games With A Finite Number Or Continuum Of Strategies
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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:
Book Synopsis Two-person Zero-sum Games by : Alan R. Washburn
Download or read book Two-person Zero-sum Games written by Alan R. Washburn and published by INFORMS. This book was released on 2003 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A First Course on Zero-Sum Repeated Games by : Sylvain Sorin
Download or read book A First Course on Zero-Sum Repeated Games written by Sylvain Sorin and published by Springer Science & Business Media. This book was released on 2002-03-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated games with incomplete information. It is intended for graduate students with no previous knowledge of the field.
Book Synopsis Two-Person Zero-Sum Games by : Alan Washburn
Download or read book Two-Person Zero-Sum Games written by Alan Washburn and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-person zero-sum game theory deals with situations that are perfectly competitive—there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most commonly applied. There are diverse applications to military battles, sports, parlor games, economics and politics. The theory was born in World War II, and has by now matured into a significant and tractable body of knowledge about competitive decision making. The advent of modern, powerful computers has enabled the solution of many games that were once beyond computational reach. Two-Person Zero-Sum Games, 4th Ed. offers an up-to-date introduction to the subject, especially its computational aspects. Any finite game can be solved by the brute force method of enumerating all possible strategies and then applying linear programming. The trouble is that many interesting games have far too many strategies to enumerate, even with the aid of computers. After introducing ideas, terminology, and the brute force method in the initial chapters, the rest of the book is devoted to classes of games that can be solved without enumerating every strategy. Numerous examples are given, as well as an extensive set of exercises. Many of the exercises are keyed to sheets of an included Excel workbook that can be freely downloaded from the SpringerExtras website. This new edition can be used as either a reference book or as a textbook.
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 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 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
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:
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.
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.
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 288 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.
Download or read book Zero Sum Game written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2024-02-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Zero Sum Game A zero-sum game is a mathematical model of a situation that involves two sides, where the result is an advantage for one side and an equivalent loss for the other side. This representation is used in game theory and economic theory where the scenario involves two sides. In other words, the gain that player one receives is comparable to the loss that player two receives, which results in the fact that the overall improvement in benefit that the game provides is zero. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Zero-sum game Chapter 2: Game theory Chapter 3: Minimax Chapter 4: Nash equilibrium Chapter 5: Coordination game Chapter 6: Matching pennies Chapter 7: Strategy (game theory) Chapter 8: Non-cooperative game theory Chapter 9: Perfect Bayesian equilibrium Chapter 10: Bayesian game Chapter 11: Backward induction Chapter 12: Strategic dominance Chapter 13: Fictitious play Chapter 14: Economy of India Chapter 15: Repeated game Chapter 16: Quantal response equilibrium Chapter 17: Risk dominance Chapter 18: Epsilon-equilibrium Chapter 19: Stochastic game Chapter 20: Simultaneous game Chapter 21: Jean-François Mertens (II) Answering the public top questions about zero sum game. (III) Real world examples for the usage of zero sum game in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Zero Sum Game.
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.
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.
Book Synopsis Dynamic Noncooperative Game Theory by : Tamer Basar
Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar and published by SIAM. This book was released on 1999-01-01 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.
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.
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.
