Paul R. ThieGerard E. KeoughSeptember 15, 2011

Sold by John Wiley & Sons"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 MathematicalSociety*

*An Introduction to Linear Programming and Game Theory, ThirdEdition* presents a rigorous, yet accessible, introduction tothe theoretical concepts and computational techniques of linearprogramming and game theory. Now with more extensive modelingexercises and detailed integer programming examples, this bookuniquely illustrates how mathematics can be used in real-worldapplications in the social, life, and managerial sciences,providing readers with the opportunity to develop and apply theiranalytical abilities when solving realistic problems.

This Third Edition addresses various new topics and improvementsin the field of mathematical programming, and it also presents twosoftware programs, LP Assistant and the Solver add-in for MicrosoftOffice Excel, for solving linear programming problems. LPAssistant, developed by coauthor Gerard Keough, allows readers toperform the basic steps of the algorithms provided in the book andis freely available via the book's related Web site. The use of thesensitivity analysis report and integer programming algorithm fromthe Solver add-in for Microsoft Office Excel is introduced soreaders can solve the book's linear and integer programmingproblems. A detailed appendix contains instructions for the use ofboth applications.

Additional features of the Third Edition include:

- A discussion of sensitivity analysis for the two-variableproblem, 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 ofthe dual problem

A section on developing an example in Data EnvelopmentAnalysis

An outline of the proof of John Nash's theorem on the existenceof equilibrium strategy pairs for non-cooperative, non-zero-sumgames

Providing a complete mathematical development of all presentedconcepts and examples, *Introduction to Linear Programming andGame Theory, Third Edition* is an ideal text for linearprogramming and mathematical modeling courses at theupper-undergraduate and graduate levels. It also serves as avaluable reference for professionals who use game theory inbusiness, economics, and management science*.*

**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.

Publisher

John Wiley & Sons

Published on

Sep 15, 2011

Pages

480

ISBN

9781118165454

Language

English

Genres

Mathematics / General

Mathematics / Mathematical Analysis

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