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.

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.

LINEAR PROGRAMMING AND GAME THEORY

Author : DIPAK CHATTERJEE
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120326776
Total Pages : 317 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 317 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.

Topics in Linear Programming and Games Theory

Author : Lakshmisree Bandopadhyaya
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.

Linear Programming

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 420 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 420 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 With Game Theory

Author :
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:

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 : 667 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 667 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.

Linear Programming and Economic Analysis

Author : Robert Dorfman
Publisher : Courier Corporation
ISBN 13 : 0486142116
Total Pages : 546 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 546 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.

Cooperative Game Theory and Applications

Author : Imma Curiel
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.

Twenty Lectures on Algorithmic Game Theory

Author : Tim Roughgarden
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.

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

Optimization Using Linear Programming

Author : A. J. Metei
Publisher : Mercury Learning and Information
ISBN 13 : 1683923464
Total Pages : 464 pages
Book Rating : 4.6/5 (839 download)

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Book Synopsis Optimization Using Linear Programming by : A. J. Metei

Download or read book Optimization Using Linear Programming written by A. J. Metei and published by Mercury Learning and Information. This book was released on 2019-03-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for engineers, mathematicians, computer scientists, financial analysts, and anyone interested in using numerical linear algebra, matrix theory, and game theory concepts to maximize efficiency in solving applied problems. The book emphasizes the solution of various types of linear programming problems by using different types of software, but includes the necessary definitions and theorems to master theoretical aspects of the topics presented. Features: Emphasizes the solution of various types of linear programming problems by using different kinds of software, e.g., MS-Excel, solutions of LPPs by Mathematica, MATLAB, WinQSB, and LINDO Provides definitions, theorems, and procedures for solving problems and all cases related to various linear programming topics Includes numerous application examples and exercises, e.g., transportation, assignment, and maximization Presents numerous topics that can be used to solve problems involving systems of linear equations, matrices, vectors, game theory, simplex method, and more.

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.

Game Theory and Strategy

Author : Philip D. Straffin
Publisher : American Mathematical Society
ISBN 13 : 1470471965
Total Pages : 256 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Game Theory and Strategy by : Philip D. Straffin

Download or read book Game Theory and Strategy written by Philip D. Straffin and published by American Mathematical Society. This book was released on 2023-01-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

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

Mathematical Programming and Game Theory for Decision Making

Author : S. K. Neogy
Publisher : World Scientific
ISBN 13 : 9812813225
Total Pages : 498 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematical Programming and Game Theory for Decision Making by : S. K. Neogy

Download or read book Mathematical Programming and Game Theory for Decision Making written by S. K. Neogy and published by World Scientific. This book was released on 2008 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications. Sample Chapter(s). Foreword (45 KB). Chapter 1: Mathematical Programming and its Applications in Finance (177 KB). Contents: Mathematical Programming and Its Applications in Finance (L C Thomas); Anti-Stalling Pivot Rule for Linear Programs with Totally Unimodular Coefficient Matrix (S N Kabadi & A P Punnen); A New Practically Efficient Interior Point Method for Convex Quadratic Programming (K G Murty); A General Framework for the Analysis of Sets of Constraints (R Caron & T Traynor), Tolerance-Based Algorithms for the Traveling Salesman Problem (D Ghosh et al.); On the Membership Problem of the Pedigree Polytope (T S Arthanari); Exact Algorithms for a One-Defective Vertex Colouring Problem (N Achuthan et al.); Complementarity Problem Involving a Vertical Block Matrix and Its Solution Using Neural Network Model (S K Neogy et al.); Fuzzy Twin Support Vector Machines for Pattern Classification (R Khemchandani et al.); An Overview of the Minimum Sum of Absolute Errors Regression (S C Narula & J F Wellington); Hedging Against the Market with No Short Selling (S A Clark & C Srinivasan); Mathematical Programming and Electrical Network Analysis II: Computational Linear Algebra Through Network Analysis (H Narayanan); Dynamic Optimal Control Policy in Price and Quality for High Technology Product (A K Bardhan & U Chanda); Forecasting for Supply Chain and Portfolio Management (K G Murty); Variational Analysis in Bilevel Programming (S Dempe et al.); Game Engineering (R J Aumann); Games of Connectivity (P Dubey & R Garg); A Robust Feedback Nash Equilibrium in a Climate Change Policy Game (M Hennlock); De Facto Delegation and Proposer Rules (H Imai & K Yonezaki); The Bargaining Set in Effectivity Function (D Razafimahatolotra); Dynamic Oligopoly as a Mixed Large Game OCo Toy Market (A Wiszniewska-Matyszkiel); On Some Classes of Balanced Games (R B Bapat); Market Equilibrium for Combinatorial Auctions and the Matching Core of Nonnegative TU Games (S Lahiri); Continuity, Manifolds, and Arrow''s Social Choice Problem (K Saukkonen); On a Mixture Class of Stochastic Games with Ordered Field Property (S K Neogy). Readership: Researchers, professionals and advanced students in mathematical programming, game theory, management sciences and computational mathematics.