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An Introduction to Linear Programming and Game Theory
Contributor(s): Thie, Paul R. (Author), Keough, Gerard E. (Author)
ISBN: 0470232862     ISBN-13: 9780470232866
Publisher: Wiley-Interscience
OUR PRICE:   $142.45  
Product Type: Hardcover - Other Formats
Published: July 2008
Qty:
Annotation: 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.
Additional Information
BISAC Categories:
- Mathematics | Linear & Nonlinear Programming
- Mathematics | Game Theory
- Mathematics | Mathematical Analysis
Dewey: 519.72
LCCN: 2008004931
Physical Information: 1" H x 6.4" W x 9.1" (1.70 lbs) 480 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
Praise for the Second Edition:

This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications.
--Mathematical Reviews of the American Mathematical Society

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.

This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications.

Additional features of the Third Edition include:

  • A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models

  • Revised proofs and a discussion on the relevance and solution of the dual problem

  • A section on developing an example in Data Envelopment Analysis

  • An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games

Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.