# Linear programming and game theory book

## Elementary mathematics of linear programming and game theory - Edward G. Bennion - Google книги

You are currently using the site but have requested a page in the site. Would you like to change to the site? Paul R. Thie , Gerard E. 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.## An Introduction to Linear Programming and Game Theory, 3rd Edition

Minimum cost and maximum profit is the fundamental theme in the realm of applied economics , business and commerce. In the the past business communities tried to minimize the cost of production by using the invented a scientific device based on Mathematics for minimizing the cost of production. Paul R. A rigorous introduction to the theoretical concepts and computational techniques of linear programming and game theory. Illustrates how mathematics can be used to understand and resolve real world problems. Standard topics are covered--the simplex algorithm; duality; sensitivity; integer programming; the transportation problem; two-person, zero-sum, and non-zero sum games--and in the process, mathematical model-building is explained.

Skip to main content Skip to table of contents. Advertisement Hide. Front Matter Pages i-xi. Simultaneous Linear Equations. Pages Linear Programming Foundations.

It seems that you're in Germany. We have a dedicated site for Germany. Mathematical elegance is a constant theme in this treatment of linear programming and matrix games. Condensed tableau, minimal in size and notation, are employed for the simplex algorithm. In the context of these tableau the beautiful termination theorem of R. Bland is proven more simply than heretofore, and the important duality theorem becomes almost obvious. Examples and extensive discussions throughout the book provide insight into definitions, theorems, and applications.

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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. An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games.

View Larger Image. Ask Seller a Question. Title: An Introduction to Linear Programming and 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. 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.

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Table of contents

An Introduction to Linear Programming and Game Theory, 3ed