
- English
- PDF
- Available on iOS & Android
Invitation to Linear Programming and Game Theory
About this book
Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and the social sciences.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright information
- Contents
- Preface
- Acknowledgments
- 1 Preliminaries
- 2 Matrix Algebra
- 3 Graphical Linear Programming
- 4 Sensitivity Analysis and Duality
- 5 The Simplex Algorithm
- 6 Game Theory
- 7 More Game Theory
- 8 Sensitivity Analysis, Ordinal Games, and n-Person Games
- 9 More Linear Programming
- Appendix: A Rapid Review of Sets and Probability
- References
- Index