The Theory Of Matrix Games And Linear Economic Models
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Author | : David Gale |
Publisher | : University of Chicago Press |
Total Pages | : 353 |
Release | : 1989-02-10 |
Genre | : Business & Economics |
ISBN | : 0226278840 |
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 | : |
Total Pages | : 558 |
Release | : 1957 |
Genre | : Economics, Mathematical |
ISBN | : |
Author | : Zhigeng Fang |
Publisher | : CRC Press |
Total Pages | : 364 |
Release | : 2016-04-19 |
Genre | : Technology & Engineering |
ISBN | : 1420087401 |
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 | : Samuel Karlin |
Publisher | : |
Total Pages | : 408 |
Release | : 1959 |
Genre | : Economics, Mathematical |
ISBN | : |
V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.
Author | : Paul R. Thie |
Publisher | : John Wiley & Sons |
Total Pages | : 476 |
Release | : 2011-09-15 |
Genre | : Mathematics |
ISBN | : 1118165454 |
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.
Author | : Deng-Feng Li |
Publisher | : Springer |
Total Pages | : 176 |
Release | : 2015-11-14 |
Genre | : Business & Economics |
ISBN | : 3662484765 |
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 | : Robert Dorfman |
Publisher | : Courier Corporation |
Total Pages | : 546 |
Release | : 2012-10-10 |
Genre | : Mathematics |
ISBN | : 0486142116 |
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.
Author | : George Bernard Dantzig |
Publisher | : American Mathematical Soc. |
Total Pages | : 444 |
Release | : 1968-12-31 |
Genre | : Mathematics |
ISBN | : 9780821896815 |
Author | : Samuel Karlin |
Publisher | : Elsevier |
Total Pages | : 444 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483222985 |
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 | : Harold William Kuhn |
Publisher | : Princeton University Press |
Total Pages | : 346 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881986 |
The description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.