An Introduction to Linear Programming and Game Theory

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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.

Mathematical Introduction to Linear Programming and Game Theory

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Author :
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.

LINEAR PROGRAMMING AND GAME THEORY

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120326776
Total Pages : 320 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis LINEAR PROGRAMMING AND GAME THEORY by : DIPAK CHATTERJEE

Download or read book LINEAR PROGRAMMING AND GAME THEORY written by DIPAK CHATTERJEE and published by PHI Learning Pvt. Ltd.. This book was released on 2005-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact book is an excellent elucidation of the basics of optimization theory in the areas of linear programming and game theory. The theory has been developed in a systematic manner with a recapitulation of the necessary mathematical preliminaries including in good measure the elements of convexity theory. All the essential topics such as simplex algorithm, duality, revised simplex method, two-phase method and dual simplex method have been discussed lucidly. The age-old transportation and assignment problems have been treated thoroughly to manifest all the dimensions of the problems. Finally, the game theory comes with grandeur of reality of conflicts. This user-friendly text is designed for the undergraduate students in mathematics. Besides, it will be useful to students pursuing courses in engineering, management and economics.

Game Theory

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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.

Topics in Linear Programming and Games Theory

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Publisher : Northern Book Centre
ISBN 13 : 9788172112264
Total Pages : 342 pages
Book Rating : 4.1/5 (122 download)

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Book Synopsis Topics in Linear Programming and Games Theory by : Lakshmisree Bandopadhyaya

Download or read book Topics in Linear Programming and Games Theory written by Lakshmisree Bandopadhyaya and published by Northern Book Centre. This book was released on 2007 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Salient Features: This book gives methodical and step-by-step explanation of the Simplex Method which is missing in most of the available books. The book goes on as a teacher explaining and simplifying the topics to a student. All the university question paper problems with 74 examples and 81 exercises illustrate the methodology. Problems solved by Graphical Method are explained with neat and accurate graphs. Twenty-One Theorems with proofs and corollaries will facilitate logical understanding of the subject. Detailed explanations are given to make the reader confident about the subject.

An Introduction to Linear Programming and Game Theory

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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.

Introducing Game Theory and its Applications

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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

An Introduction to Linear Programming and Game Theory

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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.

An Introduction to Linear Programming and the Theory of Games

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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.

Linear Programming and Economic Analysis

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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.

Invitation to Linear Programming and Game Theory

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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.

Linear Programming

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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.

An Introduction to Linear Programming and Matrix Game Theory

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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:

LINEAR PROGRAMMING With Game Theory

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Publisher : Academic Publishers
ISBN 13 : 9789380599335
Total Pages : 464 pages
Book Rating : 4.5/5 (993 download)

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Book Synopsis LINEAR PROGRAMMING With Game Theory by :

Download or read book LINEAR PROGRAMMING With Game Theory written by and published by Academic Publishers. This book was released on with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Twenty Lectures on Algorithmic Game Theory

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Publisher : Cambridge University Press
ISBN 13 : 1316781178
Total Pages : 356 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Twenty Lectures on Algorithmic Game Theory by : Tim Roughgarden

Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.

Cooperative Game Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 147574871X
Total Pages : 198 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Cooperative Game Theory and Applications by : Imma Curiel

Download or read book Cooperative Game Theory and Applications written by Imma Curiel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.

Understanding and Using Linear Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3540307176
Total Pages : 230 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Understanding and Using Linear Programming by : Jiri Matousek

Download or read book Understanding and Using Linear Programming written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2007-07-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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".