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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
Published: 2014-05-12
Total Pages: 444
ISBN-13: 1483222985
DOWNLOAD EBOOKMatrix 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.
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.
Download or read book The Theory of Linear Economic Models written by David Gale and published by . This book was released on 1960 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: David Gale
Publisher: University of Chicago Press
Published: 1989-02-10
Total Pages: 353
ISBN-13: 0226278840
DOWNLOAD EBOOKReprint 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
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: Samuel Karlin
Publisher: Courier Corporation
Published: 2003-01-01
Total Pages: 838
ISBN-13: 0486495272
DOWNLOAD EBOOKThis 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.
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: David M. Kreps
Publisher: Oxford University Press
Published: 1990
Total Pages: 204
ISBN-13: 0198283814
DOWNLOAD EBOOKComprises lectures given at Tel Aviv University and Oxford University in 1990.
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: Zhigeng Fang
Publisher: CRC Press
Published: 2016-04-19
Total Pages: 364
ISBN-13: 1420087401
DOWNLOAD EBOOKTo 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
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: Nikolai N. Vorob'ev
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 189
ISBN-13: 1461263417
DOWNLOAD EBOOKThe basis for this book is a number of lectures given frequently by the author to third year students of the Department of Economics at Leningrad State University who specialize in economical cybernetics. The main purpose of this book is to provide the student with a relatively simple and easy-to-understand manual containing the basic mathematical machinery utilized in the theory of games. Practical examples (including those from the field of economics) serve mainly as an interpretation of the mathematical foundations of this theory rather than as indications of their actual or potential applicability. The present volume is significantly different from other books on the theory of games. The difference is both in the choice of mathematical problems as well as in the nature of the exposition. The realm of the problems is somewhat limited but the author has tried to achieve the greatest possible systematization in his exposition. Whenever possible the author has attempted to provide a game-theoretical argument with the necessary mathematical rigor and reasonable generality. Formal mathematical prerequisites for this book are quite modest. Only the elementary tools of linear algebra and mathematical analysis are used.
Download or read book Game Theory written by Nikolai N. Vorob'ev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basis for this book is a number of lectures given frequently by the author to third year students of the Department of Economics at Leningrad State University who specialize in economical cybernetics. The main purpose of this book is to provide the student with a relatively simple and easy-to-understand manual containing the basic mathematical machinery utilized in the theory of games. Practical examples (including those from the field of economics) serve mainly as an interpretation of the mathematical foundations of this theory rather than as indications of their actual or potential applicability. The present volume is significantly different from other books on the theory of games. The difference is both in the choice of mathematical problems as well as in the nature of the exposition. The realm of the problems is somewhat limited but the author has tried to achieve the greatest possible systematization in his exposition. Whenever possible the author has attempted to provide a game-theoretical argument with the necessary mathematical rigor and reasonable generality. Formal mathematical prerequisites for this book are quite modest. Only the elementary tools of linear algebra and mathematical analysis are used.
Author: Samuel Karlin
Publisher:
Published: 1959
Total Pages: 408
ISBN-13:
DOWNLOAD EBOOKV. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by . This book was released on 1959 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.
Author: Deng-Feng Li
Publisher: Springer
Published: 2015-11-14
Total Pages: 176
ISBN-13: 3662484765
DOWNLOAD EBOOKThis 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.
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.
