/

Introducing Game Theory and its Applications

Mendelson Elliott Zwillinger Daniel
Heftet / 2024 / Engelsk

Produktdetaljer

ISBN
9781032811802
Publisert
2024-08-02
Utgave
2. utgave
Utgiver
Vendor
Chapman & Hall/CRC
Vekt
530 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
275

Forfatter
Mendelson Elliott
Zwillinger Daniel

Om bidragsyterne

Elliott Mendelson is the late professor emeritus at Queens College in Flushing, New York, USA. Dr. Mendelson obtained his bachelor's at Columbia University and his master's 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.

Introducing Game Theory and its Applications

Mendelson Elliott Zwillinger Daniel
Heftet / 2024 / Engelsk
Mendelson Elliott Zwillinger Daniel
Heftet / 2024 / Engelsk
Nettpris:
912,-
Levering 7-20 dager
Sjekk lagerstatus i butikk
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.
Les mer
Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory.
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 Bland's 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 × 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 Nash's 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
Les mer

Relaterte produkter

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.
Les mer
Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory.
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 Bland's 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 × 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 Nash's 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
Les mer

Produktdetaljer

ISBN
9781032811802
Publisert
2024-08-02
Utgave
2. utgave
Utgiver
Vendor
Chapman & Hall/CRC
Vekt
530 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
275

Forfatter
Mendelson Elliott
Zwillinger Daniel

Om bidragsyterne

Elliott Mendelson is the late professor emeritus at Queens College in Flushing, New York, USA. Dr. Mendelson obtained his bachelor's at Columbia University and his master's 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.

Relaterte produkter