Introducing Game Theory and its Applications by Elliott Mendelson Paperback Book

Description: FREE SHIPPING UK WIDE Introducing Game Theory and its Applications by Elliott Mendelson, Daniel Zwillinger Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory. FORMAT Paperback CONDITION Brand New Publisher Description 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 theorys 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. Author Biography Elliott Mendelson is the late professor emeritus at Queens College in Flushing, New York, USA. Dr. Mendelson obtained his bachelors at Columbia University and his masters and doctoral degrees at Cornell University and was elected afterward to the Harvard Society of Fellows. In addition to his other writings, he is the author of another CRC Press book, Introduction to Mathematical Logic, Sixth Edition.Dan Zwillinger has more than 35 years of proven technical expertise in numerous areas of engineering and the physical sciences. He earned a PhD in applied mathematics from the California Institute of Technology. He is the editor of CRC Standard Mathematical Tables and Formulas, 33rd Edition and also Table of Integrals, Series, and Products, by Gradshteyn and Ryzhik. He serves as the series editor of the CRC Series of Advances in Applied Mathematics. Table of Contents PrefaceIntroduction1 Combinatorial games1.1 Definition of combinatorial games1.2 Fundamental theorem of combinatorial games1.3 Nim1.4 Hex and other games1.5 Tree games1.6 Grundy functions1.7 Bogus Nim-sums1.8 Chapter summary2 Two-person zero-sum games2.1 Games in normal form2.2 Saddle points and equilibrium pairs2.3 Maximin and minimax2.4 Mixed strategies2.5 2-by-2 matrix games2.6 2-by-n, m-by-2 and 3-by-3 matrix games2.7 Linear programming2.8 Chapter summary3 Solving two-person zero-sum games using LP3.1 Perfect canonical linear programming problems3.2 The simplex method3.3 Pivoting3.4 The perfect phase of the simplex method3.5 The Big M method3.6 Blands rules to prevent cycling3.7 Duality and the simplex method3.8 Solution of game matrices3.9 Chapter summary4 Non-zero-sum games and k-person games4.1 The general setting4.2 Nash equilibria4.3 Graphical method for 2 Ã— 2 matrix games4.4 Inadequacies of Nash equilibria & cooperative games4.5 The Nash arbitration procedure4.6 Games with two or more players4.7 Coalitions4.8 Games in coalition form4.9 The Shapley value4.10 The Banzhaf power index4.11 Imputations4.12 Strategic equivalence4.13 Stable sets4.14 Chapter summary5 Imperfect Information Games5.1 The general setting5.2 Complete information games in extensive form5.3 Imperfect information games in extensive form5.4 Games with random effects5.5 Chapter summary6 Computer solutions to games6.1 Zero-sum games - invertible matrices6.2 Zero sum games - linear program problem (LP)6.3 Special Linear Programming Capabilities6.4 Non-zero sum games - linear complementarity problem (LCP)6.5 Special game packages6.6 Chapter summaryAppendices Appendix A Utility theory Appendix B Nashs theorem Appendix C Finite probability theory Appendix D Calculus & Differentiation Appendix E Linear Algebra Appendix F Linear Programming Appendix G Named Games and Game DataAnswers to selected exercisesBibliographyIndex Details ISBN1032811803 Author Daniel Zwillinger Publisher Taylor & Francis Ltd Edition Description 2nd edition Series Advances in Applied Mathematics Year 2024 Edition 2nd ISBN-13 9781032811802 Format Paperback Imprint Chapman & Hall/CRC Country of Publication United Kingdom Alternative 9780367507916 Illustrations 73 Halftones, black and white; 73 Illustrations, black and white Audience Tertiary & Higher Education Publication Date 2024-08-02 UK Release Date 2024-08-02 ISBN-10 1032811803 Pages 275 DEWEY 519.3 We've got this At The Nile, if you're looking for it, we've got it. 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