About this book
An exciting new edition of the popular introduction to game theory and its applications
The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models.
With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as Maple™, Mathematica®, and Gambit, to create, analyze, and implement effective decision-making models. Coverage includes the main aspects of game theory including the fundamentals of two-person zero-sum games, cooperative games, and population games as well as a large number of examples from various fields, such as economics, transportation, warfare, asset distribution, political science, and biology. The Second Edition features: • A new chapter on extensive games, which greatly expands the implementation of available models • New sections on correlated equilibria and exact formulas for three-player cooperative games • Many updated topics including threats in bargaining games and evolutionary stable strategies • Solutions and methods used to solve all odd-numbered problems • A companion website containing the related Maple and Mathematica data sets and code
A trusted and proven guide for students of mathematics and economics, Game Theory: An Introduction, Second Edition is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.
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Information
Table of contents
- Game Theory
- Contents
- Preface for the Second Edition
- Preface for the First Edition
- Acknowledgments
- Introduction
- 1 Matrix Two-Person Games
- 2 Solution Methods for Matrix Games
- 3 Two-Person Nonzero Sum Games
- 4 Games in Extensive Form: Sequential Decision Making
- 5 n-Person Nonzero Sum Games and Games with a Continuum of Strategies
- 6 Cooperative Games
- 7 Evolutionary Stable Strategies and Population Games
- Appendix A: The Essentials of Matrix Analysis
- Appendix B: The Essentials of Probability
- Appendix C: The Essentials of Maple
- Appendix D: The Mathematica Commands
- Appendix E: Biographies
- Problem Solutions
- References
- Index