An Introduction To Linear Programming And Game Theory

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An Introduction to Linear Programming and Game Theory

Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Paul R. Thie
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by Wiley-Interscience. This book was released on 2008-08-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 1979 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Louis Brickman
Publisher : Springer Science & Business Media
ISBN 13 : 1461245400
Total Pages : 140 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Introduction to Linear Programming and Game Theory by : Louis Brickman

Download or read book Mathematical Introduction to Linear Programming and Game Theory written by Louis Brickman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Paul R. Thie
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by . This book was released on 1988-03-08 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Paul R. Thie
Publisher :
ISBN 13 : 9780471607182
Total Pages : 396 pages
Book Rating : 4.6/5 (71 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by . This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : David C. Vella
Publisher : Cambridge University Press
ISBN 13 : 1108756239
Total Pages : 543 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Invitation to Linear Programming and Game Theory by : David C. Vella

Download or read book Invitation to Linear Programming and Game Theory written by David C. Vella and published by Cambridge University Press. This book was released on 2021-03-11 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and the social sciences.

Introducing Game Theory and its Applications

Author : Elliott Mendelson
Publisher : CRC Press
ISBN 13 : 1482285878
Total Pages : 272 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introducing Game Theory and its Applications by : Elliott Mendelson

Download or read book Introducing Game Theory and its Applications written by Elliott Mendelson and published by CRC Press. This book was released on 2016-02-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Game Theory

Author : A. J. Jones
Publisher : Horwood Publishing
ISBN 13 : 9781898563143
Total Pages : 304 pages
Book Rating : 4.5/5 (631 download)

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Book Synopsis Game Theory by : A. J. Jones

Download or read book Game Theory written by A. J. Jones and published by Horwood Publishing. This book was released on 2000-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Programming and Generalizations

Author : Eric V. Denardo
Publisher : Springer Science & Business Media
ISBN 13 : 1441964916
Total Pages : 673 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Linear Programming and Generalizations by : Eric V. Denardo

Download or read book Linear Programming and Generalizations written by Eric V. Denardo and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Abraham M. Glicksman
Publisher : Courier Corporation
ISBN 13 : 9780486417103
Total Pages : 166 pages
Book Rating : 4.4/5 (171 download)

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Book Synopsis An Introduction to Linear Programming and the Theory of Games by : Abraham M. Glicksman

Download or read book An Introduction to Linear Programming and the Theory of Games written by Abraham M. Glicksman and published by Courier Corporation. This book was released on 2001-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Matt DeVos and Deborah A. Kent

Author : Matt DeVos
Publisher : American Mathematical Soc.
ISBN 13 : 1470422107
Total Pages : 343 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Matt DeVos and Deborah A. Kent by : Matt DeVos

Download or read book Matt DeVos and Deborah A. Kent written by Matt DeVos and published by American Mathematical Soc.. This book was released on 2016-12-27 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.

Linear Programming

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 414 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : A. Sultan
Publisher : Elsevier
ISBN 13 : 1483297241
Total Pages : 579 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Linear Programming by : A. Sultan

Download or read book Linear Programming written by A. Sultan and published by Elsevier. This book was released on 2014-06-28 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Robert Dorfman
Publisher : Courier Corporation
ISBN 13 : 0486142116
Total Pages : 719 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Linear Programming and Economic Analysis by : Robert Dorfman

Download or read book Linear Programming and Economic Analysis written by Robert Dorfman and published by Courier Corporation. This book was released on 2012-10-10 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Linear Programming and Matrix Game Theory

Author : Michael John Fryer
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Linear Programming and Matrix Game Theory by : Michael John Fryer

Download or read book An Introduction to Linear Programming and Matrix Game Theory written by Michael John Fryer and published by John Wiley & Sons. This book was released on 1978 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Game Theory

Author : Peter Morris
Publisher : Springer Science & Business Media
ISBN 13 : 1461243165
Total Pages : 240 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Game Theory by : Peter Morris

Download or read book Introduction to Game Theory written by Peter Morris and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner's Dilemma (super games) and challenging game-playing computer programs.