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An Introduction to Linear Programming and Game Theory

An Introduction to Linear Programming and Game Theory
Author: Paul R. Thie
Publisher: John Wiley & Sons
Total Pages: 476
Release: 2011-09-15
Genre: Mathematics
ISBN: 1118165454

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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." —Mathematical Reviews of the American Mathematical Society 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. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.


Mathematical Introduction to Linear Programming and Game Theory

Mathematical Introduction to Linear Programming and Game Theory
Author: Louis Brickman
Publisher: Springer Science & Business Media
Total Pages: 140
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461245400

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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.G. 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. There is considerable informal discussion on how best to play matrix games. The book is designed for a one-semester undergraduate course. Readers will need a degree of mathematical sophistication and general tools such as sets, functions, and summation notation. No single college course is a prerequisite, but most students will do better with some prior college mathematics. This thorough introduction to linear programming and game theory will impart a deep understanding of the material and also increase the student's mathematical maturity.


An Introduction to Linear Programming and Game Theory

An Introduction to Linear Programming and Game Theory
Author: Paul R. Thie
Publisher:
Total Pages: 424
Release: 1988-03-08
Genre: Mathematics
ISBN:

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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. Material includes meaningful examples and numerous exercises to reinforce and enhance understanding. Examples are used extensively, and the exercises (over 500) range in nature from model building and computation to theory. In this edition five new sections have been added, new problems included, and material expanded and improved.


An Introduction to Linear Programming and Game Theory

An Introduction to Linear Programming and Game Theory
Author: Paul R. Thie
Publisher:
Total Pages: 396
Release: 1988
Genre: Game theory
ISBN: 9780471607182

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Providing a rigorous introduction to the theoretical concepts and computational techniques of linear programming and game theory, this text 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.


Linear Programming and Generalizations

Linear Programming and Generalizations
Author: Eric V. Denardo
Publisher: Springer Science & Business Media
Total Pages: 667
Release: 2011-07-25
Genre: Business & Economics
ISBN: 1441964916

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This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. • investigate game theory and nonlinear optimization, • link the subject to economic reasoning, and • present the requisite mathematics. Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student’s interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student’s grasp of the relevant mathematics. The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.


An Introduction to Linear Programming and the Theory of Games

An Introduction to Linear Programming and the Theory of Games
Author: Abraham M. Glicksman
Publisher: Courier Corporation
Total Pages: 166
Release: 2001-01-01
Genre: Mathematics
ISBN: 9780486417103

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Simple exposition of linear programming and matrix games covers convex sets in the Cartesian plane and the fundamental extreme point theorem for convex polygons; the simplex method in linear programming; the fundamental duality theorem and its corollary, von Neumann's minimax theorem; more. Easily understood problems and illustrative exercises. 1963 edition.


Introducing Game Theory and its Applications

Introducing Game Theory and its Applications
Author: Elliott Mendelson
Publisher: CRC Press
Total Pages: 272
Release: 2016-02-03
Genre: Mathematics
ISBN: 1482285878

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The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In


Linear Programming

Linear Programming
Author: Robert J Vanderbei
Publisher: Springer Science & Business Media
Total Pages: 414
Release: 2013-07-16
Genre: Business & Economics
ISBN: 1461476305

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This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.


Linear Programming

Linear Programming
Author: A. Sultan
Publisher: Elsevier
Total Pages: 579
Release: 2014-06-28
Genre: Computers
ISBN: 1483297241

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Includes one IBM/PC floppy disk. System Requirements: Monochrome monitors, IBM-compatible machines, minimum: 286 IBM, DOS 2.0 or higher. This book gives a complete, concise introduction to the theory and applications of linear programming. It emphasizes the practical applications of mathematics, and makes the subject more accessible to individuals with varying mathematical abilities. It is one of the first rigorous linear programming texts that does not require linear algebra as a prerequisite. In addition, this text contains a floppy disk containing the program SIMPLEX, designed to help students solve problems using the computer. Key Features * Less rigorous mathematically - will appeal to individuals with varying mathematical abilities * Includes a floppy disk containing the program SIMPLEX and an appendix to help students solve problems using the computer * Includes chapters on network analysis and dynamic programming - topics of great interest to business majors and industrial engineers * Includes modem applications - selected computer programs for solving various max/min applications