An Introduction to Linear Programming and Game Theory 3rd edition by Paul Thie, Gerard Keough 1118165454 9781118165454

An Introduction to Linear Programming and Game Theory 3rd edition by Paul R. Thie, Gerard E. Keough – Ebook PDF Instant Download/DeliveryISBN:  1118165454, 9781118165454 

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Product details:

ISBN-10 :  1118165454 

ISBN-13 :  9781118165454

Author :  Paul R. Thie, Gerard E. Keough 

An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems.

An Introduction to Linear Programming and Game Theory 3rd Table of contents:

1 Mathematical Models
1.1 Applying Mathematics
1.2 The Diet Problem
1.3 The Prisoner’s Dilemma
1.4 The Roles of Linear Programming and Game Theory
2 The Linear Programming Model
2.1 History
2.2 The Blending Model
2.3 The Production Model
2.4 The Transportation Model
2.5 The Dynamic Planning Model
2.6 Summary
3 The Simplex Method
3.1 The General Problem
3.2 Linear Equations and Basic Feasible Solutions
3.3 Introduction to the Simplex Method
3.4 Theory of the Simplex Method
3.5 The Simplex Tableau and Examples
3.6 Artificial Variables
3.7 Redundant Systems
3.8 A Convergence Proof
3.9 Linear Programming and Convexity
3.10 Spreadsheet Solution of a Linear Programming Problem
4 Duality
4.1 Introduction to Duality
4.2 Definition of the Dual Problem
4.3 Examples and Interpretations
4.4 The Duality Theorem
4.5 The Complementary Slackness Theorem
5 Sensitivity Analysis
5.1 Examples in Sensitivity Analysis
5.2 Matrix Representation of the Simplex Algorithm
5.3 Changes in the Objective Function
5.4 Addition of a New Variable
5.5 Changes in the Constant-Term Column Vector
5.6 The Dual Simplex Algorithm
5.7 Addition of a Constraint
6 Integer Programming
6.1 Introduction to Integer Programming
6.2 Models with Integer Programming Formulations
6.3 Gomory’s Cutting Plane Algorithm
6.4 A Branch and Bound Algorithm
6.5 Spreadsheet Solution of an Integer Programming Problem
7 The Transportation Problem
7.1 A Distribution Problem
7.2 The Transportation Problem
7.3 Applications
8 Other Topics in Linear Programming
8.1 An Example Involving Uncertainty
8.2 An Example with Multiple Goals
8.3 An Example Using Decomposition
8.4 An Example in Data Envelopment Analysis
9 Two-Person, Zero-Sum Games
9.1 Introduction to Game Theory
9.2 Some Principles of Decision Making in Game Theory
9.3 Saddle Points
9.4 Mixed Strategies
9.5 The Fundamental Theorem
9.6 Computational Techniques
9.7 Games People Play
10 Other Topics in Game Theory
10.1 Utility Theory
10.2 Two-Person, Non-Zero-Sum Games
10.3 Noncooperative Two-Person Games
10.4 Cooperative Two-Person Games
10.5 The Axioms of Nash
10.6 An Example

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