Mathematical Methods And Theory In Games Programming And Economics
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Mathematical Methods And Theory In Games Programming And Economics
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Author : Samuel Karlin
language : en
Publisher: Courier Corporation
Release Date : 2003-01-01
Mathematical Methods And Theory In Games Programming And Economics written by Samuel Karlin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
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.
Mathematical Methods And Theory In Games Programming And Economics
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Author : Samuel Karlin
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Mathematical Methods And Theory In Games Programming And Economics written by Samuel Karlin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
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.
Mathematical Methods And Theory In Games Programming And Economics
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Author : Samuel Karlin
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Mathematical Methods And Theory In Games Programming And Economics written by Samuel Karlin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
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.
Mathematical Methods Of Game And Economic Theory
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Author : Jean-Pierre Aubin
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Mathematical Methods Of Game And Economic Theory written by Jean-Pierre Aubin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
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.
Mathematical Methods And Theory In Games Programming And Economics
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Author : Samuel Karlin
language : en
Publisher:
Release Date : 1959
Mathematical Methods And Theory In Games Programming And Economics written by Samuel Karlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
Mathematical Programming And Game Theory For Decision Making
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Author : S. K. Neogy
language : en
Publisher: World Scientific
Release Date : 2008
Mathematical Programming And Game Theory For Decision Making written by S. K. Neogy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
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.
Mathematical Methods And Theory In Games Programming And Economics V 2
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Author : S. Karlin
language : en
Publisher:
Release Date : 1959
Mathematical Methods And Theory In Games Programming And Economics V 2 written by S. Karlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
The Mathematics Of Games Of Strategy
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Author : Melvin Dresher
language : en
Publisher: Courier Corporation
Release Date : 2012-11-14
The Mathematics Of Games Of Strategy written by Melvin Dresher and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-14 with Mathematics categories.
This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.
Mathematical Introduction To Linear Programming And Game Theory
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Author : Louis Brickman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Introduction To Linear Programming And Game Theory written by Louis Brickman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
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.
Mathematical Methods And Theory In Games Programming And Economics
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Author : Samuel Karlin
language : it
Publisher:
Release Date : 1959
Mathematical Methods And Theory In Games Programming And Economics written by Samuel Karlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.