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Mathematical Economics and Game Theory

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Release : 2012-12-06
Genre : Business & Economics
Kind : eBook
Book Rating : 941/5 ( reviews)

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Book Synopsis Mathematical Economics and Game Theory by : R. Henn

Download or read book Mathematical Economics and Game Theory written by R. Henn. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods of Game and Economic Theory

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Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 65X/5 ( reviews)

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Book Synopsis Mathematical Methods of Game and Economic Theory by : Jean-Pierre Aubin

Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Game Theory for Economic Analysis

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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 060/5 ( reviews)

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Book Synopsis Game Theory for Economic Analysis by : Tatsuro Ichiishi

Download or read book Game Theory for Economic Analysis written by Tatsuro Ichiishi. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory for Economic Analysis

Mathematical Methods and Theory in Games, Programming, and Economics

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Release : 1959
Genre : Economics, Mathematical
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin

Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin. This book was released on 1959. Available in PDF, EPUB and Kindle. Book excerpt: V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.

An Introductory Course on Mathematical Game Theory

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Release : 2021-10-22
Genre : Mathematics
Kind : eBook
Book Rating : 736/5 ( reviews)

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Book Synopsis An Introductory Course on Mathematical Game Theory by : Julio González-Díaz

Download or read book An Introductory Course on Mathematical Game Theory written by Julio González-Díaz. This book was released on 2021-10-22. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.

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