Introduction to Linear Programming and Game Theory

ISBN-10: 0470232862
ISBN-13: 9780470232866
Edition: 3rd 2008
List price: $140.00 Buy it from $55.06
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Description: This book provides the development of the theoretical concepts and computational techniques of linear programming and game theory and explores applications of these topics in the social, life, and managerial sciences. The Third Edition features  More...

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Book details

List price: $140.00
Edition: 3rd
Copyright year: 2008
Publisher: John Wiley & Sons, Incorporated
Publication date: 8/11/2008
Binding: Hardcover
Pages: 480
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 2.024
Language: English

This book provides the development of the theoretical concepts and computational techniques of linear programming and game theory and explores applications of these topics in the social, life, and managerial sciences. The Third Edition features various additions and improvements that have been developed over the last decade, most significantly the integration of new computer software, PRT Simplex, to assist the reader in learning and using the simplex algorithm, and the spreadsheet tool Solver to solve linear, non-linear, and integer programming problems.

Preface
Mathematical Models
Applying Mathematics
The Diet Problem
The Prisoner's Dilemma
The Roles of Linear Programming and Game Theory
The Linear Programming Model
History
The Blending Model
The Production Model
The Transportation Model
The Dynamic Planning Model
Summary
The Simplex Method
The General Problem
Linear Equations and Basic Feasible Solutions
Introduction to the Simplex Method
Theory of the Simplex Method
The Simplex Tableau and Examples
Artificial Variables
Redundant Systems
A Convergence Proof
Linear Programming and Convexity
Spreadsheet Solution of a Linear Programming Problem
Duality
Introduction to Duality
Definition of the Dual Problem
Examples and Interpretations
The Duality Theorem
The Complementary Slackness Theorem
Sensitivity Analysis
Examples in Sensitivity Analysis
Matrix Representation of the Simplex Algorithm
Changes in the Objective Function
Addition of a New Variable
Changes in the Constant-Term Column Vector
The Dual Simplex Algorithm
Addition of a Constraint
Integer Programming
Introduction to Integer Programming
Models with Integer Programming Formulations
Gomory's Cutting Plane Algorithm
A Branch and Bound Algorithm
Spreadsheet Solution of an Integer Programming Problem
The Transportation Problem
A Distribution Problem
The Transportation Problem
Applications
Other Topics in Linear Programming
An Example Involving Uncertainty
An Example with Multiple Goals
An Example Using Decomposition
An Example in Data Envelopment Analysis
Two-Person, Zero-Sum Games
Introduction to Game Theory
Some Principles of Decision Making in Game Theory
Saddle Points
Mixed Strategies
The Fundamental Theorem
Computational Techniques
Games People Play
Other Topics in Game Theory
Utility Theory
Two-Person, Non-Zero-Sum Games
Noncooperative Two-Person Games
Cooperative Two-Person Games
The Axioms of Nash
An Example
Vectors and Matrices
An Example of Cycling
Efficiency of the Simplex Method
LP Assistant
Microsoft Excel and Solver
Bibliography
Solutions to Selected Problems
Index

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