Invitation to Linear Programming and Game Theory
eBook - PDF

Invitation to Linear Programming and Game Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Invitation to Linear Programming and Game Theory

Book details
Table of contents
Citations

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.

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Yes, you can access Invitation to Linear Programming and Game Theory by David C. Vella in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2021
ISBN
9781108756822
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Half-title
  3. Title page
  4. Copyright information
  5. Contents
  6. Preface
  7. Acknowledgments
  8. 1 Preliminaries
  9. 2 Matrix Algebra
  10. 3 Graphical Linear Programming
  11. 4 Sensitivity Analysis and Duality
  12. 5 The Simplex Algorithm
  13. 6 Game Theory
  14. 7 More Game Theory
  15. 8 Sensitivity Analysis, Ordinal Games, and n-Person Games
  16. 9 More Linear Programming
  17. Appendix: A Rapid Review of Sets and Probability
  18. References
  19. Index