Mathematical Methods and Theory in Games, Programming, and Economics

Mathematical Methods and Theory in Games, Programming, and Economics PDF

Author: Samuel Karlin

Publisher: Elsevier

Published: 2014-05-12

Total Pages: 399

ISBN-13: 1483224007

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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 and Theory in Games, Programming, and Economics

Mathematical Methods and Theory in Games, Programming, and Economics PDF

Author: Samuel Karlin

Publisher: Courier Corporation

Published: 2003-01-01

Total Pages: 838

ISBN-13: 0486495272

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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 Game Theory and Applications

Mathematical Game Theory and Applications PDF

Author: Vladimir Mazalov

Publisher: John Wiley & Sons

Published: 2014-10-06

Total Pages: 430

ISBN-13: 1118899628

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Mathematical Game Theory and Applications Mathematical Game Theory and Applications An authoritative and quantitative approach to modern game theory with applications from economics, political science, military science and finance. Mathematical Game Theory and Applications combines both the theoretical and mathematical foundations of game theory with a series of complex applications along with topics presented in a logical progression to achieve a unified presentation of research results. This book covers topics such as two-person games in strategic form, zero-sum games, N-person non-cooperative games in strategic form, two-person games in extensive form, parlor and sport games, bargaining theory, best-choice games, co-operative games and dynamic games. Several classical models used in economics are presented which include Cournot, Bertrand, Hotelling and Stackelberg as well as coverage of modern branches of game theory such as negotiation models, potential games, parlor games and best choice games. Mathematical Game Theory and Applications: Presents a good balance of both theoretical foundations and complex applications of game theory. Features an in-depth analysis of parlor and sport games, networking games, and bargaining models. Provides fundamental results in new branches of game theory, best choice games, network games and dynamic games. Presents numerous examples and exercises along with detailed solutions at the end of each chapter. Is supported by an accompanying website featuring course slides and lecture content. Covering a host of important topics, this book provides a research springboard for graduate students and a reference for researchers who might be working in the areas of applied mathematics, operations research, computer science or economical cybernetics.

CRC Concise Encyclopedia of Mathematics

CRC Concise Encyclopedia of Mathematics PDF

Author: Eric W. Weisstein

Publisher: CRC Press

Published: 2002-12-12

Total Pages: 3253

ISBN-13: 1420035223

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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

The Mathematics of Games of Strategy

The Mathematics of Games of Strategy PDF

Author: Melvin Dresher

Publisher: Courier Corporation

Published: 2012-11-14

Total Pages: 208

ISBN-13: 0486150062

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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.

The Doctrine of Chances

The Doctrine of Chances PDF

Author: Stewart N. Ethier

Publisher: Springer Science & Business Media

Published: 2010-05-19

Total Pages: 822

ISBN-13: 3540787836

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Three centuries ago Montmort and De Moivre published two books on probability theory emphasizing its most important application at that time, games of chance. This book, on the probabilistic aspects of gambling, is a modern version of those classics.