An Introduction To Linear Programming And Game Theory

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An Introduction to Linear Programming and Game Theory

Paul R. Thie,Gerard E. Keough
An Introduction to Linear Programming and Game Theory Book PDF

Author : Paul R. Thie,Gerard E. Keough
Publisher : John Wiley & Sons
Page : 476 pages
File Size : 46,5 Mb
Release : 2011-09-15
Category : Mathematics
ISBN : 9781118165454

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An Introduction to Linear Programming and Game Theory by Paul R. Thie,Gerard E. Keough Pdf

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.

An Introduction to Linear Programming and Game Theory

Paul R. Thie,Gerard E. Keough
An Introduction to Linear Programming and Game Theory Book PDF

Author : Paul R. Thie,Gerard E. Keough
Publisher : Wiley-Interscience
Page : 488 pages
File Size : 48,9 Mb
Release : 2008-08-11
Category : Mathematics
ISBN : STANFORD:36105131609518

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An Introduction to Linear Programming and Game Theory by Paul R. Thie,Gerard E. Keough Pdf

Front Matter -- Mathematical Models -- The Linear Programming Model -- The Simplex Method -- Duality -- Sensitivity Analysis -- Integer Programming -- The Transportation Problem -- Other Topics in Linear Programming -- Two-Person, Zero-Sum Games -- Other Topics in Game Theory -- Appendix A: Vectors and Matrices -- Appendix B: An Example of Cycling -- Appendix C: Efficiency of the Simplex Method -- Appendix D: LP Assistant -- Appendix E: Microsoft Excel and Solver -- Bibliography -- Solutions to Selected Problems -- Index

An Introduction to Linear Programming and Game Theory

Paul R. Thie
An Introduction to Linear Programming and Game Theory Book PDF

Author : Paul R. Thie
Publisher : John Wiley & Sons
Page : 356 pages
File Size : 43,8 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015023299095

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An Introduction to Linear Programming and Game Theory by Paul R. Thie Pdf

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

Paul R. Thie
An Introduction to Linear Programming and Game Theory Book PDF

Author : Paul R. Thie
Publisher : Unknown
Page : 424 pages
File Size : 46,8 Mb
Release : 1988-03-08
Category : Mathematics
ISBN : STANFORD:36105032416575

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An Introduction to Linear Programming and Game Theory by Paul R. Thie Pdf

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.

Mathematical Introduction to Linear Programming and Game Theory

Louis Brickman
Mathematical Introduction to Linear Programming and Game Theory Book PDF

Author : Louis Brickman
Publisher : Springer Science & Business Media
Page : 140 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461245407

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Mathematical Introduction to Linear Programming and Game Theory by Louis Brickman Pdf

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

Paul R. Thie
An Introduction to Linear Programming and Game Theory Book PDF

Author : Paul R. Thie
Publisher : Unknown
Page : 396 pages
File Size : 53,9 Mb
Release : 1988
Category : Game theory
ISBN : 0471607185

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An Introduction to Linear Programming and Game Theory by Paul R. Thie Pdf

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.

Invitation to Linear Programming and Game Theory

David C. Vella
Invitation to Linear Programming and Game Theory Book PDF

Author : David C. Vella
Publisher : Cambridge University Press
Page : 543 pages
File Size : 46,7 Mb
Release : 2021-03-11
Category : Business & Economics
ISBN : 9781108476256

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Invitation to Linear Programming and Game Theory by David C. Vella Pdf

Discover interplay between matrices, linear programming, and game theory at an introductory level, requiring only high school algebra and curiosity.

An Introduction to Linear Programming and the Theory of Games

Abraham M. Glicksman
An Introduction to Linear Programming and the Theory of Games Book PDF

Author : Abraham M. Glicksman
Publisher : Courier Corporation
Page : 166 pages
File Size : 43,6 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 0486417107

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An Introduction to Linear Programming and the Theory of Games by Abraham M. Glicksman Pdf

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.

Linear Programming and Generalizations

Eric V. Denardo
Linear Programming and Generalizations Book PDF

Author : Eric V. Denardo
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 55,6 Mb
Release : 2011-07-25
Category : Business & Economics
ISBN : 9781441964915

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Linear Programming and Generalizations by Eric V. Denardo Pdf

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.

Linear Programming

Robert J Vanderbei
Linear Programming Book PDF

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 44,6 Mb
Release : 2013-07-16
Category : Business & Economics
ISBN : 9781461476306

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Linear Programming by Robert J Vanderbei Pdf

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.

Understanding and Using Linear Programming

Jiri Matousek,Bernd Gärtner
Understanding and Using Linear Programming Book PDF

Author : Jiri Matousek,Bernd Gärtner
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 49,5 Mb
Release : 2007-07-04
Category : Mathematics
ISBN : 9783540307174

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Understanding and Using Linear Programming by Jiri Matousek,Bernd Gärtner Pdf

The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

Linear Programming

A. Sultan
Linear Programming Book PDF

Author : A. Sultan
Publisher : Elsevier
Page : 579 pages
File Size : 45,7 Mb
Release : 2014-06-28
Category : Computers
ISBN : 9781483297248

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Linear Programming by A. Sultan Pdf

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

Linear Programming and Economic Analysis

Robert Dorfman,Paul A. Samuelson,Robert M. Solow
Linear Programming and Economic Analysis Book PDF

Author : Robert Dorfman,Paul A. Samuelson,Robert M. Solow
Publisher : Courier Corporation
Page : 719 pages
File Size : 41,9 Mb
Release : 2012-10-10
Category : Mathematics
ISBN : 9780486142111

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Linear Programming and Economic Analysis by Robert Dorfman,Paul A. Samuelson,Robert M. Solow Pdf

Designed primarily for economists and those interested in management economics who are not necessarily accomplished mathematicians, this text offers a clear, concise exposition of the relationship of linear programming to standard economic analysis. The research and writing were supported by The RAND Corporation in the late 1950s. Linear programming has been one of the most important postwar developments in economic theory, but until publication of the present volume, no text offered a comprehensive treatment of the many facets of the relationship of linear programming to traditional economic theory. This book was the first to provide a wide-ranging survey of such important aspects of the topic as the interrelations between the celebrated von Neumann theory of games and linear programming, and the relationship between game theory and the traditional economic theories of duopoly and bilateral monopoly. Modern economists will especially appreciate the treatment of the connection between linear programming and modern welfare economics and the insights that linear programming gives into the determinateness of Walrasian equilibrium. The book also offers an excellent introduction to the important Leontief theory of input-output as well as extensive treatment of the problems of dynamic linear programming. Successfully used for three decades in graduate economics courses, this book stresses practical problems and specifies important concrete applications.

Game Theory

A. J. Jones
Game Theory Book PDF

Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 51,8 Mb
Release : 2000-12
Category : Mathematics
ISBN : 1898563144

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Game Theory by A. J. Jones Pdf

This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.

Introducing Game Theory and its Applications

Elliott Mendelson
Introducing Game Theory and its Applications Book PDF

Author : Elliott Mendelson
Publisher : CRC Press
Page : 272 pages
File Size : 55,9 Mb
Release : 2016-02-03
Category : Mathematics
ISBN : 9781482285871

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Introducing Game Theory and its Applications by Elliott Mendelson Pdf

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