Game Theory An Introduction

ISBN-10: 1118216938
ISBN-13: 9781118216934
Edition: 2nd 2013
Authors: E. N. Barron
List price: $168.95 Buy it from $45.91
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Description: This book confirms the role of mathematics in making logical and advantageous decisions and uses modern software applications to create, analyze, and implement effective decision-making models. This Second Edition of the bestselling book provides a  More...

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Book details

List price: $168.95
Edition: 2nd
Copyright year: 2013
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/12/2013
Binding: Hardcover
Pages: 574
Size: 7.25" wide x 10.00" long x 1.50" tall
Weight: 2.442
Language: English

This book confirms the role of mathematics in making logical and advantageous decisions and uses modern software applications to create, analyze, and implement effective decision-making models. This Second Edition of the bestselling book provides a balanced treatment of the subject that is both conceptual and hands-on.  The book introduces the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing.  In addition to two new chapters on Games in Extensive Form: Sequential Decision Making and Repeated, Recursive, and Stochastic Games, and many new topics have been added and revised.

Preface for the Second Edition
Preface for the First Edition
Acknowledgments
Introduction
Matrix Two-Person Games
The Basics
Problems
The von Neumann Mini max Theorem
Proof of von Neumann's Minimax Theorem (Optional)
Problems
Mixed Strategies
Properties of Optimal Strategies
Dominated Strategies
Solving 2 � 2 Games Graphically
Problems
Graphical Solution of 2 � m and n � 2 Games
Problems
Best Response Strategies
Problems
Maple™/Mathematica�
Bibliographic Notes
Solution Methods for Matrix Games
Solution of Some Special Games
2 � 2 Games Revisited
Problems
Invertible Matrix Games
Completely Mixed Games
Problems
Symmetric Games
Problems
Matrix Games and Linear Programming
Setting Up the Linear Program: Method 1
A Direct Formulation Without Transforming: Method 2
Problems
Appendix: Linear Programming and the Simplex Method
The Simplex Method Step by Step
Problems
Review Problems
Maple/Mathematica
Invertible Matrices
Linear Programming: Method 1
Linear Programming: Method 2
Bibliographic Notes
Two-Person Nonzero Sum Games
The Basics
Problems
2 � 2 Bimatrix Games, Best Response, Equality of Payoffs
Calculation of the Rational Reaction Sets for 2 � 2 Games
Problems
Interior Mixed Nash Points by Calculus
Calculus Method for Interior Nash
Problems
Proof that There is a Nash Equilibrium for Bimatrix Games (Optional)
Nonlinear Programming Method for Nonzero Sum Two-Person Games
Summary of Methods for Finding Mixed Nash Equilibria
Problems
Correlated Equilibria
LP Problem for a Correlated Equilibrium
Problems
Choosing Among Several Nash Equilibria (Optional)
Problems
Maple/Mathematica
Mathematica for Lemke-Howson Algorithm
Bibliographic Notes
Games in Extensive Form: Sequential Decision Making
Introduction to Game Trees-Gambit
Problems
Backward Induction and Subgame Perfect Equilibrium
Problems
Subgame Perfect Equilibrium
Examples of Extensive Games Using Gambit
Problems
Bibliographic Notes
N-Person Nonzero Sum Games and Games with a Continuum of Strategies
The Basics
Problems
Economics Applications of Nash Equilibria
Cournot Duopoly
A Slight Generalization of Cournot
Cournot Model with Uncertain Costs
The Bertrand Model
The Stackelberg Model
Entry Deterrence
Problems
Duels (Optional)
Silent Duel on [0, 1] (Optional)
Problem
Auctions (Optional)
Complete Information
Problems
Incomplete Information
Symmetric Independent Private Value Auctions
Problem
Bibliographic Notes
Cooperative Games
Coalitions and Characteristic Functions
Problems
More on the Core and Least Core
Problems
The Nucleolus
An Exact Nucleolus for Three-Player Games
Problems
The Shapley Value
Problems
Bargaining
The Nash Model with Security Point
Threats
The Kalai-Smorodinsky Bargaining Solution
Sequential Bargaining
Problems
Review Problems
Maple/Mathematica
Finding the Nucleolus One Step at a Time
Mathematica Code for Three-Person Nucleolus
The Shapley Value with Maple
Maple and Bargaining
Bibliographic Notes
Evolutionary Stable Strategies and Population Games
Evolution
Properties of an ESS
Problems
Population Games
Problems
Bibliographic Notes
The Essentials of Matrix Analysis
The Essentials of Probability
The Essentials of Maple
The Mathematica Commands
Biographies
Problem Solutions
References
Index

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