Theory of Games and Statistical Decisions

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Release : 2012-06-14
Genre : Mathematics
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Book Rating : 895/5 ( reviews)

Theory of Games and Statistical Decisions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Games and Statistical Decisions write by David A. Blackwell. This book was released on 2012-06-14. Theory of Games and Statistical Decisions available in PDF, EPUB and Kindle. 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.

The Complete Idiot's Guide to Game Theory

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Release : 2011-03-01
Genre : Mathematics
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Book Rating : 845/5 ( reviews)

The Complete Idiot's Guide to Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Complete Idiot's Guide to Game Theory write by Edward C. Rosenthal Ph.D.. This book was released on 2011-03-01. The Complete Idiot's Guide to Game Theory available in PDF, EPUB and Kindle. 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

Classics in Game Theory

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Release : 2020-11-10
Genre : Business & Economics
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Book Rating : 151/5 ( reviews)

Classics in Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classics in Game Theory write by Harold William Kuhn. This book was released on 2020-11-10. Classics in Game Theory available in PDF, EPUB and Kindle. 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.

Game Theory

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Release : 2020-06-25
Genre : Business & Economics
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Book Rating : 459/5 ( reviews)

Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Game Theory write by Michael Maschler. This book was released on 2020-06-25. Game Theory available in PDF, EPUB and Kindle. This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.

An Introductory Course on Mathematical Game Theory

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Release : 2021-10-22
Genre : Mathematics
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Book Rating : 736/5 ( reviews)

An Introductory Course on Mathematical Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introductory Course on Mathematical Game Theory write by Julio González-Díaz. This book was released on 2021-10-22. An Introductory Course on Mathematical Game Theory available in PDF, EPUB and Kindle. 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.