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Author : David Gale
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Theory of Matrix Games and Linear Economic Models written by David Gale and published by . This book was released on 1957 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Samuel Karlin
Publisher : Elsevier
ISBN 13 : 1483222985
Total Pages : 444 pages
Book Rating : 4.4/5 (832 download)
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Elsevier. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.
Author : David Gale
Publisher : University of Chicago Press
ISBN 13 : 0226278840
Total Pages : 353 pages
Book Rating : 4.2/5 (262 download)
Download or read book The Theory of Linear Economic Models written by David Gale and published by University of Chicago Press. This book was released on 1989-02-10 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the edition of 1960. Gale (math, economics, operations research, U. of Cal. Berkeley) provides a complete and systematic treatment of the topic. Annotation copyrighted by Book News, Inc., Portland, OR
Author : David Gale
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.F/5 ( download)
Download or read book The Theory of Matrix Games and Linear Economic Models written by David Gale and published by . This book was released on 1957 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David M. Kreps
Publisher : Oxford University Press
ISBN 13 : 0198283814
Total Pages : 204 pages
Book Rating : 4.1/5 (982 download)
Download or read book Game Theory and Economic Modelling written by David M. Kreps and published by Oxford University Press. This book was released on 1990 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises lectures given at Tel Aviv University and Oxford University in 1990.
Author : Ferenc Szidarovszky
Publisher : World Scientific
ISBN 13 : 9789810245139
Total Pages : 516 pages
Book Rating : 4.2/5 (451 download)
Download or read book Introduction to Matrix Theory written by Ferenc Szidarovszky and published by World Scientific. This book was released on 2002 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.
Author : Deng-Feng Li
Publisher : Springer
ISBN 13 : 3662484765
Total Pages : 176 pages
Book Rating : 4.6/5 (624 download)
Download or read book Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers written by Deng-Feng Li and published by Springer. This book was released on 2015-11-14 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses two-person zero-sum finite games in which the payoffs in any situation are expressed with fuzzy numbers. The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their linear programming models and methods. Furthermore, it is directly relevant to the research field of matrix games under uncertain economic management. The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics.
Author : Samuel Karlin
Publisher : Elsevier
ISBN 13 : 1483224007
Total Pages : 399 pages
Book Rating : 4.4/5 (832 download)
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Elsevier. This book was released on 2014-05-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods and Theory in Games, Programming, and Economics, Volume II provides information pertinent to the mathematical theory of games of strategy. This book presents the mathematical tools for manipulating and analyzing large sets of strategies. Organized into nine chapters, this volume begins with an overview of the fundamental concepts in game theory, namely, strategy and pay-off. This text then examines the identification of strategies with points in Euclidean n-space, which is a convenience that simplifies the mathematical analysis. Other chapters provide a discussion of the theory of finite convex games. This book discusses as well the extension of the theory of convex continuous games to generalized convex games, which leads to the characterization that such games possess optimal strategies of finite type. The final chapter deals with the components of a simple two-person poker game. This book is a valuable resource for mathematicians, statisticians, economists, social scientists, and research workers.
Author : Samuel Karlin
Publisher : Courier Corporation
ISBN 13 : 0486495272
Total Pages : 838 pages
Book Rating : 4.4/5 (864 download)
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Courier Corporation. This book was released on 2003-01-01 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: This single-volume edition of a 2-volume set, discusses the theory of matrix games, linear and nonlinear programming, and mathematical economics while clarifying key mathematical concepts and demonstrates their applicability. 1959 edition.
Author : Zhigeng Fang
Publisher : CRC Press
ISBN 13 : 1420087401
Total Pages : 364 pages
Book Rating : 4.4/5 (2 download)
Download or read book Grey Game Theory and Its Applications in Economic Decision-Making written by Zhigeng Fang and published by CRC Press. This book was released on 2016-04-19 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: To make the best decisions, you need the best information. However, because most issues in game theory are grey, nearly all recent research has been carried out using a simplified method that considers grey systems as white ones. This often results in a forecasting function that is far from satisfactory when applied to many real situations. Grey Ga
Author : Engelbert Dockner
Publisher : Cambridge University Press
ISBN 13 : 9780521637329
Total Pages : 398 pages
Book Rating : 4.6/5 (373 download)
Download or read book Differential Games in Economics and Management Science written by Engelbert Dockner and published by Cambridge University Press. This book was released on 2000-11-16 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.
Author : Guillermo Owen
Publisher : Springer Science & Business Media
ISBN 13 : 1461549914
Total Pages : 350 pages
Book Rating : 4.4/5 (615 download)
Download or read book Discrete Mathematics and Game Theory written by Guillermo Owen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only proper grounding for academics who wish to apply mathematics. The choice of topics is based on a desire to present those facets of mathematics which will be useful to economists and social/behavioral scientists. The volume is divided into seven chapters. Chapter I presents a brief review of the solution of systems of linear equations by the use of matrices. Chapter III introduces the theory of probability. The rest of the book deals with new developments in mathematics such as linear and dynamic programming, the theory of networks and the theory of games. These developments are generally recognized as the most important field in the `new mathematics' and they also have specific applications in the management sciences.
Author : Jeno Szép
Publisher : Springer Science & Business Media
ISBN 13 : 9400951930
Total Pages : 409 pages
Book Rating : 4.4/5 (9 download)
Download or read book Introduction to the Theory of Games written by Jeno Szép and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Min kowsky lemma, coding theory and the structure of water meet one another in packing and covering theory: quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 048646265X
Total Pages : 658 pages
Book Rating : 4.4/5 (864 download)
Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Author : Kwaku Forkuo-Seykere
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (976 download)
Download or read book Relationships Between Linear Programming and Matrix Games with Economic Applications written by Kwaku Forkuo-Seykere and published by . This book was released on 1982 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. N. Barron
Publisher : John Wiley & Sons
ISBN 13 : 1118216938
Total Pages : 574 pages
Book Rating : 4.1/5 (182 download)
Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2013-04-22 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting new edition of the popular introduction to game theory and its applications The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models. With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as MapleTM, Mathematica®, and Gambit, to create, analyze, and implement effective decision-making models. Coverage includes the main aspects of game theory including the fundamentals of two-person zero-sum games, cooperative games, and population games as well as a large number of examples from various fields, such as economics, transportation, warfare, asset distribution, political science, and biology. The Second Edition features: • A new chapter on extensive games, which greatly expands the implementation of available models • New sections on correlated equilibria and exact formulas for three-player cooperative games • Many updated topics including threats in bargaining games and evolutionary stable strategies • Solutions and methods used to solve all odd-numbered problems • A companion website containing the related Maple and Mathematica data sets and code A trusted and proven guide for students of mathematics and economics, Game Theory: An Introduction, Second Edition is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.
Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)
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.
