An Introduction to Linear Programming and Game Theory
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...
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Introduction to Linear Programming and Game Theory, Third Edition includes various additions as well as improvements that have been developed over the last decade, and the most significant addition to the text involves technology. It features an introduction, discussion, and utilization of Solver, a spreadsheet software package that solves mathematical programming problems. PRT Simplex, a computer application for learning the simplex method, has been developed by co-author Gerard Keough and was designed to be used with this book.
1 Mathematical Models 12 The Linear Programming Model 93 The Simplex Method 574 Duality 1215 Sensitivity Analysis 1616 Integer Programming 2117 The Transportation Problem 2518 Other Topics in Linear Programming 2999 Two-Person, Zero-Sum Games 33710 Other Topics in Game Theory 391A Vectors and Matrices 417B An Example of Cycling 421C Efficiency of the Simplex Method 423D LP Assistant 427E Microsoft Excel and Solver 431Bibliography 439Solutions to Selected Problems 443Index 457
