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.
FREE Two-Day Shipping for students on millions of items. Learn more |
|
There is a newer edition of this item:
|
Book Description
Editorial Reviews
From the Back Cover
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. --This text refers to an alternate Hardcover edition.
About the Author
PAUL R. THIE, PhD, is Professor Emeritus in the Department of Mathematics at Boston College. Dr. Thie has authored numerous journal articles in the areas of mathematical programming and several complex variables.
GERARD E. KEOUGH, PhD, is Associate Professor and former chair of the Department of Mathematics at Boston College. He has written extensively on operator theory, functional analysis, and the use of technology in mathematics. Dr. Keough is the coauthor of Getting Started with Maple®, Second Edition and Getting Started with Mathematica®, Second Edition,both published by Wiley. --This text refers to an alternate Hardcover edition.
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
1 of 1 people found the following review helpful:
4.0 out of 5 stars
A good introductory book,
This review is from: An Introduction to Linear Programming and Game Theory (Hardcover)
The first part of this book is a good introduction to linear programming and the simplex method. Easy reading, tries to give insight, and with lots of examples. My personal favorite when it comes to refreshing my intuition on duality and how simplex works.
Regarding the game theory material, it seems to be a little crowded. Don't expect any in-depth coverage there, but as a brief overview it might be appropriate.
1 of 1 people found the following review helpful:
2.0 out of 5 stars
Not well-organized,
By
This review is from: An Introduction to Linear Programming and Game Theory (Hardcover)
After spending much of the summer reading and trying to learn linear programming on my own using this book, I feel that I'm qualified write this review.
This book suffers from persistent disorganization which I suspect is due to pressure put on the author to reduce the number of pages in the book as much as possible. Consequently, formatting shortcuts are taken wherever possible. Some of these shortcuts do not seriously inhibit learning this material. But when one wishes to complete a problem which requires that you refer to a problem 2 chapters before; which requires that you refer to a problem one chapter before, and so on. And when a specific example refers to a problem two sections before, which refers to a table two sections before that, which...well you get the point. The reader is then required to focus more on what page what table is then on the material. The other major difficulties with this book arise from the authors lack of good punctuation and his lack of emphasis (through formatting on the page itself) of important points, often contained deep within examples. Most of the topics of the first 5 chapters are taught in the form of an example. And so a single sentence within a half-page paragraph of information that is critical to understanding the problem at hand ought to be emphasized some how. Some people prefer bold such things, others prefer to center. Dr Thie prefers to have you reread a huge paragraph of information on a page you can't remember to find out if such and such number was required to be positive or negative. That's my take. You get the picture. Don't buy this book unless your prof makes you.
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
Browse and search another edition of this book.
Browse and search another edition of this book.
Key Phrases - Statistically Improbable Phrases (SIPs):
(learn more)
dual simplex algorithm, complementary slackness theorem, cutting plane algorithm, transportation problem algorithm, entry ahk, slack variable columns, security level strategies, associated basic solution, payoff tableau, security level strategy, associated basic feasible solution, optimal solution point, optimal shipping schedule, shadow price column, pivot term, optimal production schedule, preplay discussion, minimum daily cost, game with payoff matrix, optimal security level, simplex process, associated linear programming problem, jth destination, feasible integral solution, corresponding linear programming problem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Problem Set, Duality Theorem, Continuation of Example, Min Max, Third Edition, John Wiley, Max Min, Side Increase Decrease, Consider Game, Solve Problem, Company Zeta, Minimize Efficiency, Consider Problem, Fundamental Theorem, Annual Values, Microsoft Excel, Prove Theorem, Brouwer's Fixed Point Theorem, Kitchen Bathroom, Bluegrass Fescue Cost, Component Material, Extension of Example, Prove Corollary, Input Output, Sensitivity Report Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
dual simplex algorithm, complementary slackness theorem, cutting plane algorithm, transportation problem algorithm, entry ahk, slack variable columns, security level strategies, associated basic solution, payoff tableau, security level strategy, associated basic feasible solution, optimal solution point, optimal shipping schedule, shadow price column, pivot term, optimal production schedule, preplay discussion, minimum daily cost, game with payoff matrix, optimal security level, simplex process, associated linear programming problem, jth destination, feasible integral solution, corresponding linear programming problem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Problem Set, Duality Theorem, Continuation of Example, Min Max, Third Edition, John Wiley, Max Min, Side Increase Decrease, Consider Game, Solve Problem, Company Zeta, Minimize Efficiency, Consider Problem, Fundamental Theorem, Annual Values, Microsoft Excel, Prove Theorem, Brouwer's Fixed Point Theorem, Kitchen Bathroom, Bluegrass Fescue Cost, Component Material, Extension of Example, Prove Corollary, Input Output, Sensitivity Report Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
Listmania!
So You'd Like to...
|
|
