Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 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
1 - Preliminaries
Published online by Cambridge University Press: 11 March 2021
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 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
Summary
We introduce the mathematical modeling process. We also set the stage for the rest of the book by discussing systems of linear equations and their solutions, matrices, Gauss-Jordan elimination, linear combinations of vectors, basis vectors of Euclidean space, and their connection to basic solutions of a linear system. We conclude with simple optimization problems with quadratic functions.
Keywords
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- Chapter
- Information
- Invitation to Linear Programming and Game Theory , pp. 1 - 62Publisher: Cambridge University PressPrint publication year: 2021