Mathematical Methods and Theory in Games, Programming, and Economcis PDF Download
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Author: Samuel Karlin
Publisher:
ISBN: 9780486670201
Category :
Languages : en
Pages : 0
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Book Description
Author: Samuel Karlin
Publisher: Elsevier
ISBN: 1483222985
Category : Mathematics
Languages : en
Pages : 444
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Book Description
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: Samuel Karlin
Publisher: Elsevier
ISBN: 1483224007
Category : Mathematics
Languages : en
Pages : 399
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Book Description
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: 0486495272
Category : Mathematics
Languages : en
Pages : 838
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Book Description
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: Samuel Karlin
Publisher:
ISBN: 9780486670201
Category :
Languages : en
Pages : 0
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Book Description
Author: Samuel Karlin
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Samuel Karlin
Publisher:
ISBN:
Category : Decision making
Languages : en
Pages : 386
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Book Description
Author: Samuel Karlin
Publisher:
ISBN:
Category :
Languages : en
Pages : 386
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Book Description
Author: Samuel Karlin
Publisher:
ISBN: 9781483198972
Category : Economics, Mathematical
Languages : en
Pages : 0
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Book Description
Author: Samuel Karlin
Publisher:
ISBN:
Category : Decision making
Languages : en
Pages : 433
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Book Description
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Category : Mathematics
Languages : en
Pages : 658
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Book Description
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.
