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Author : Jacquelyn Elaine Weygandt
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (742 download)
Download or read book Probabilistic Strategies of the Other in a Two-person Non-zero Sum Game written by Jacquelyn Elaine Weygandt and published by . This book was released on 1967 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alan R. Washburn
Publisher : INFORMS
ISBN 13 : 1877640190
Total Pages : 137 pages
Book Rating : 4.8/5 (776 download)
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:
Author : Erich Prisner
Publisher : American Mathematical Soc.
ISBN 13 : 1614441154
Total Pages : 287 pages
Book Rating : 4.6/5 (144 download)
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 287 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.
Author : Robert J. Aumann
Publisher : MIT Press
ISBN 13 : 9780262011471
Total Pages : 372 pages
Book Rating : 4.0/5 (114 download)
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.
Author : Alan Washburn
Publisher : Springer Science & Business Media
ISBN 13 : 1461490502
Total Pages : 207 pages
Book Rating : 4.4/5 (614 download)
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.
Author : Melvin Dresher
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (91 download)
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:
Author : John Von Neumann
Publisher : Diana
ISBN 13 : 9785608789779
Total Pages : 660 pages
Book Rating : 4.7/5 (897 download)
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.
Author : Fouad Sabry
Publisher : One Billion Knowledgeable
ISBN 13 :
Total Pages : 349 pages
Book Rating : 4.:/5 (661 download)
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.
Author : Steve Tadelis
Publisher : Princeton University Press
ISBN 13 : 0691129088
Total Pages : 416 pages
Book Rating : 4.6/5 (911 download)
Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students
Author : Tim Roughgarden
Publisher : Cambridge University Press
ISBN 13 : 1316781178
Total Pages : 356 pages
Book Rating : 4.3/5 (167 download)
Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Author : William Spaniel
Publisher :
ISBN 13 : 9781492728153
Total Pages : 273 pages
Book Rating : 4.7/5 (281 download)
Download or read book Game Theory 101 written by William Spaniel and published by . This book was released on 2014 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory 101: The Complete Textbook is a no-nonsense, games-centered introduction to strategic form (matrix) and extensive form (game tree) games. From the first lesson to the last, this textbook introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Quick, efficient, and to the point, Game Theory 101: The Complete Textbook is perfect for introductory game theory, intermediate microeconomics, and political science.
Author : Abel Rodríguez
Publisher : John Wiley & Sons
ISBN 13 : 1119302617
Total Pages : 237 pages
Book Rating : 4.1/5 (193 download)
Download or read book Probability, Decisions and Games written by Abel Rodríguez and published by John Wiley & Sons. This book was released on 2018-03-20 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the fundamentals of probability, statistics, decision theory, and game theory, and features interesting examples of games of chance and strategy to motivate and illustrate abstract mathematical concepts Covering both random and strategic games, Probability, Decisions and Games features a variety of gaming and gambling examples to build a better understanding of basic concepts of probability, statistics, decision theory, and game theory. The authors present fundamental concepts such as random variables, rational choice theory, mathematical expectation and variance, fair games, combinatorial calculus, conditional probability, Bayes Theorem, Bernoulli trials, zero-sum games and Nash equilibria, as well as their application in games such as Roulette, Craps, Lotto, Blackjack, Poker, Rock-Paper-Scissors, the Game of Chicken and Tic-Tac-Toe. Computer simulations, implemented using the popular R computing environment, are used to provide intuition on key concepts and verify complex calculations. The book starts by introducing simple concepts that are carefully motivated by the same historical examples that drove their original development of the field of probability, and then applies those concepts to popular contemporary games. The first two chapters of Probability, Decisions and Games: A Gentle Introduction using R feature an introductory discussion of probability and rational choice theory in finite and discrete spaces that builds upon the simple games discussed in the famous correspondence between Blaise Pascal and Pierre de Fermat. Subsequent chapters utilize popular casino games such as Roulette and Blackjack to expand on these concepts illustrate modern applications of these methodologies. Finally, the book concludes with discussions on game theory using a number of strategic games. This book: Features introductory coverage of probability, statistics, decision theory and game theory, and has been class-tested at University of California, Santa Cruz for the past six years Illustrates basic concepts in probability through interesting and fun examples using a number of popular casino games: roulette, lotto, craps, blackjack, and poker Introduces key ideas in game theory using classic games such as Rock-Paper-Scissors, Chess, and Tic-Tac-Toe. Features computer simulations using R throughout in order to illustrate complex concepts and help readers verify complex calculations Contains exercises and approaches games and gambling at a level that is accessible for readers with minimal experience Adopts a unique approach by motivating complex concepts using first simple games and then moving on to more complex, well-known games that illustrate how these concepts work together Probability, Decisions and Games: A Gentle Introduction using R is a unique and helpful textbook for undergraduate courses on statistical reasoning, introduction to probability, statistical literacy, and quantitative reasoning for students from a variety of disciplines.
Author : Sylvain Sorin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540430285
Total Pages : 228 pages
Book Rating : 4.4/5 (32 download)
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.
Author : Anna R. Karlin
Publisher : American Mathematical Soc.
ISBN 13 : 1470419823
Total Pages : 400 pages
Book Rating : 4.4/5 (74 download)
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.
Author : Tamer Basar
Publisher : SIAM
ISBN 13 : 9781611971132
Total Pages : 534 pages
Book Rating : 4.9/5 (711 download)
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 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.
Author : T. Parthasarathy
Publisher : Springer Nature
ISBN 13 : 9811565775
Total Pages : 127 pages
Book Rating : 4.8/5 (115 download)
Download or read book Stochastic Games and Related Concepts written by T. Parthasarathy and published by Springer Nature. This book was released on 2020-12-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses stochastic game theory and related concepts. Topics focused upon in the book include matrix games, finite, infinite, and undiscounted stochastic games, n-player cooperative games, minimax theorem, and more. In addition to important definitions and theorems, the book provides readers with a range of problem-solving techniques and exercises. This book is of value to graduate students and readers of probability and statistics alike.
Author : Lawrence William Littig
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (89 download)
Download or read book Behavior in Certain Zero-sum, Two-person Games written by Lawrence William Littig and published by . This book was released on 1955 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
