Book description
An exciting new edition of the popular introduction to game theory and its applications
The thoroughly expanded Second Edition presents a unique, handson 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 realworld decisionmaking 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 decisionmaking models. Coverage includes the main aspects of game theory including the fundamentals of twoperson zerosum 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 threeplayer cooperative games
Many updated topics including threats in bargaining games and evolutionary stable strategies
Solutions and methods used to solve all oddnumbered 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.
Note: The ebook version does not provide access to the companion files.
Table of contents
 Cover
 Wiley Series in Operations Research and Management Science
 Title Page
 Copyright
 Dedication
 Preface for the Second Edition
 Preface for the First Edition
 Acknowledgments
 Introduction
 Chapter One: Matrix TwoPerson Games
 Chapter Two: Solution Methods for Matrix Games
 Chapter Three: TwoPerson Nonzero Sum Games
 Chapter Four: Games in Extensive Form: Sequential Decision Making
 Chapter Five: NPerson Nonzero Sum Games and Games with a Continuum of Strategies
 Chapter Six: Cooperative Games
 Chapter Seven: 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
 D.1 The Upper and Lower Values of a Game
 D.2 The Value of an Invertible Matrix Game with Mixed Strategies
 D.3 Solving Matrix Games by Linear Programming
 D.4 Interior Nash Points
 D.5 Lemke–Howson Algorithm for Nash Equilibrium
 D.6 Is the Core Empty?
 D.7 Find and Plot the Least Core
 D.8 Nucleolus and Shapley Value Procedure
 D.9 Plotting the Payoff Pairs
 D.10 Bargaining Solutions
 D.11 Mathematica for Replicator Dynamics
 Appendix E: Biographies
 Problem Solutions
 References
 Index
Product information
 Title: Game Theory: An Introduction, 2nd Edition
 Author(s):
 Release date: April 2013
 Publisher(s): Wiley
 ISBN: 9781118216934
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