An Introduction to Linear Programming and Game Theory , 3/e (美國原版)

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.

《線性規劃與博弈論導論，第三版》獲得好評：

「這是一本非常出色的書籍：組織緊湊，解釋優秀，並且有許多例子、插圖和應用。」
- 美國數學學會的《數學評論》

《線性規劃與博弈論導論，第三版》嚴謹而易於理解，介紹了線性規劃和博弈論的理論概念和計算技巧。本書增加了更多的建模練習和詳細的整數規劃例子，獨特地展示了數學如何應用於社會、生活和管理科學的實際應用，讓讀者有機會在解決現實問題時發展和應用他們的分析能力。

第三版涵蓋了數學規劃領域的各種新主題和改進，並且還介紹了兩個軟件程序：LP助手和Microsoft Office Excel®的Solver插件，用於解決線性規劃問題。LP助手由合著者Gerard Keough開發，讀者可以通過書籍相關網站免費使用該軟件，執行書中提供的算法的基本步驟。本書還介紹了使用Microsoft Office Excel®的Solver插件的敏感性分析報告和整數規劃算法，以便讀者解決書中的線性和整數規劃問題。詳細的附錄包含了兩個應用程序的使用說明。

第三版的其他特點包括：

- 對於雙變量問題的敏感性分析討論，以及展示整數規劃、非線性規劃和製造與購買模型的新例子
- 修改的證明和對對偶問題的相關性和解決方案的討論
- 關於數據包絡分析示例的開發部分
- 約翰·納什關於非合作、非零和博弈存在均衡策略對證明的概述

《線性規劃與博弈論導論，第三版》提供了所有概念和例子的完整數學發展，是高年級本科和研究生線性規劃和數學建模課程的理想教材。它也是在商業、經濟和管理科學中應用博弈論的專業人士的寶貴參考資料。