An Introduction to Linear Programming and Game Theory / Edition 2

An Introduction to Linear Programming and Game Theory / Edition 2

by Paul R. Thie
     
 

ISBN-10: 0471624888

ISBN-13: 9780471624882

Pub. Date: 03/28/1988

Publisher: Wiley

A rigorous introduction to the theoretical concepts and computational techniques of linear programming and game theory. Illustrates how mathematics can be used to understand and resolve real world problems. Standard topics are covered—the simplex algorithm; duality; sensitivity; integer programming; the transportation problem; two-person, zero-sum, and

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Overview

A rigorous introduction to the theoretical concepts and computational techniques of linear programming and game theory. Illustrates how mathematics can be used to understand and resolve real world problems. Standard topics are covered—the simplex algorithm; duality; sensitivity; integer programming; the transportation problem; two-person, zero-sum, and non-zero sum games—and in the process, mathematical model-building is explained. Material includes meaningful examples and numerous exercises to reinforce and enhance understanding. Examples are used extensively, and the exercises (over 500) range in nature from model building and computation to theory. In this edition five new sections have been added, new problems included, and material expanded and improved.

Product Details

ISBN-13:
9780471624882
Publisher:
Wiley
Publication date:
03/28/1988
Edition description:
Older Edition
Pages:
416
Product dimensions:
6.44(w) x 9.57(h) x 1.30(d)

Table of Contents

1 Mathematical Models 1

2 The Linear Programming Model 9

3 The Simplex Method 57

4 Duality 121

5 Sensitivity Analysis 161

6 Integer Programming 211

7 The Transportation Problem 251

8 Other Topics in Linear Programming 299

9 Two-Person, Zero-Sum Games 337

10 Other Topics in Game Theory 391

A Vectors and Matrices 417

B An Example of Cycling 421

C Efficiency of the Simplex Method 423

D LP Assistant 427

E Microsoft Excel and Solver 431

Bibliography 439

Solutions to Selected Problems 443

Index 457

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