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Two Person Zero Sum Games
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Book Synopsis Repeated Games with Incomplete Information by : Robert J. Aumann
Download or read book Repeated Games with Incomplete Information written by Robert J. Aumann and published by MIT Press. This book was released on 1995 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others.
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 Two-Person Game Theory by : Anatol Rapoport
Download or read book Two-Person Game Theory written by Anatol Rapoport and published by Courier Corporation. This book was released on 2013-01-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
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 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 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 Stochastic and Differential Games by : Martino Bardi
Download or read book Stochastic and Differential Games written by Martino Bardi and published by Springer Science & Business Media. This book was released on 1999-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L. S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P. P. Varaiya, E. Roxin, R. J. Elliott and N. J. Kalton, N. N. Krasovskii, and A. I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L. D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M. G. Crandall and P. -L.
Book Synopsis The Essential John Nash by : John Nash
Download or read book The Essential John Nash written by John Nash and published by Princeton University Press. This book was released on 2016-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949. From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness. In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography. The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.
Book Synopsis Games, Theory and Applications by : L. C. Thomas
Download or read book Games, Theory and Applications written by L. C. Thomas and published by Courier Corporation. This book was released on 2012-12-13 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.
Book Synopsis Computational Complexity by : Robert A. Meyers
Download or read book Computational Complexity written by Robert A. Meyers and published by Springer. This book was released on 2011-10-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The recognition that the collective behavior of the whole system cannot be simply inferred from an understanding of the behavior of the individual components has led to the development of numerous sophisticated new computational and modeling tools with applications to a wide range of scientific, engineering, and societal phenomena. Computational Complexity: Theory, Techniques and Applications presents a detailed and integrated view of the theoretical basis, computational methods, and state-of-the-art approaches to investigating and modeling of inherently difficult problems whose solution requires extensive resources approaching the practical limits of present-day computer systems. This comprehensive and authoritative reference examines key components of computational complexity, including cellular automata, graph theory, data mining, granular computing, soft computing, wavelets, and more.
Book Synopsis Game Theory and Experimental Games by : Andrew M. Colman
Download or read book Game Theory and Experimental Games written by Andrew M. Colman and published by Elsevier. This book was released on 2016-06-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Experimental Games: The Study of Strategic Interaction focuses on the development of game theory, taking into consideration empirical research, theoretical formulations, and research procedures involved. The book proceeds with a discussion on the theory of one-person games. The individual decision that a player makes in these kinds of games is noted as influential as to the outcome of these games. This discussion is followed by a presentation of pure coordination games and minimal situation. The ability of players to anticipate the choices of others to achieve a mutually beneficial outcome is emphasized. A favorable social situation is also influential in these kinds of games. The text moves forward by presenting studies on various kinds of competitive games. The research studies presented are coupled with empirical evidence and discussion designed to support the claims that are pointed out. The book also discusses several kinds of approaches in the study of games. Voting as a way to resolve multi-person games is also emphasized, including voting procedures, the preferences of voters, and voting strategies. The book is a valuable source of data for readers and scholars who are interested in the exploration of game theories.
Book Synopsis General Minimax Theorems by : Maurice Sion
Download or read book General Minimax Theorems written by Maurice Sion and published by . This book was released on 1957 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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.
Download or read book Zero Sum Game written by S. L. Huang and published by Tor Books. This book was released on 2018-10-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: ZERO SUM GAME Best of Lists: * Best Books of the Month at The Verge, Book Riot, Unbound Worlds, SYFY, & Kirkus * The Mary Sue Book Club Pick * Library Journal Best Debuts of Fall and Winter A blockbuster, near-future science fiction thriller, S.L. Huang's Zero Sum Game introduces a math-genius mercenary who finds herself being manipulated by someone possessing unimaginable power... Cas Russell is good at math. Scary good. The vector calculus blazing through her head lets her smash through armed men twice her size and dodge every bullet in a gunfight, and she'll take any job for the right price. As far as Cas knows, she’s the only person around with a superpower...until she discovers someone with a power even more dangerous than her own. Someone who can reach directly into people’s minds and twist their brains into Moebius strips. Someone intent on becoming the world’s puppet master. Cas should run, like she usually does, but for once she's involved. There’s only one problem... She doesn’t know which of her thoughts are her own anymore. "Fresh and exciting... a great start to an exciting series--and an exciting career." --Boing Boing At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Book Synopsis Game Theory through Examples by : Erich Prisner
Download or read book Game Theory through Examples written by Erich Prisner and published by American Mathematical Soc.. This book was released on 2014-12-31 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. The core philosophy underlying this volume is that abstract concepts are best learned when encountered first (and repeatedly) in concrete settings. Thus, the essential ideas of game theory are here presented in the context of actual games, real games much more complex and rich than the typical toy examples. All the fundamental ideas are here: Nash equilibria, backward induction, elementary probability, imperfect information, extensive and normal form, mixed and behavioral strategies. The active-learning, example-driven approach makes the text suitable for a course taught through problem solving. Students will be thoroughly engaged by the extensive classroom exercises, compelling homework problems, and nearly sixty projects in the text. Also available are approximately eighty Java applets and three dozen Excel spreadsheets in which students can play games and organize information in order to acquire a gut feeling to help in the analysis of the games. Mathematical exploration is a deep form of play; that maxim is embodied in this book. Game Theory through Examples is a lively introduction to this appealing theory. Assuming only high school prerequisites makes the volume especially suitable for a liberal arts or general education spirit-of-mathematics course. It could also serve as the active-learning supplement to a more abstract text in an upper-division game theory course.
Book Synopsis Winning Ways for Your Mathematical Plays by : Elwyn R. Berlekamp
Download or read book Winning Ways for Your Mathematical Plays written by Elwyn R. Berlekamp and published by CRC Press. This book was released on 2018-05-08 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.
