Mathematical Economics and Game Theory PDF Download
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Author: R. Henn
Publisher: Springer Science & Business Media
ISBN: 3642454941
Category : Business & Economics
Languages : en
Pages : 714
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Book Description
Author: R. Henn
Publisher: Springer Science & Business Media
ISBN: 3642454941
Category : Business & Economics
Languages : en
Pages : 714
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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.
Author: Tatsuro Ichiishi
Publisher: Elsevier
ISBN: 1483295060
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Game Theory for Economic Analysis
Author: Otto Moeschlin
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 486
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Book Description
Author: Tatsuro Ichiishi
Publisher: Academic Press
ISBN: 1483295052
Category : Language Arts & Disciplines
Languages : en
Pages : 449
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Book Description
Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. Explains many of the recent central developments in game theory Highlights new research directions in economic theory which surpass the neoclassical paradigm Includes game-theoretical analyses in economics, political science, and biology Written by leading game theorists, economists, political scientists, and biologists
Author: Robert J. Aumann
Publisher: Bibliographisches Institut & F.A. Brockhaus AG
ISBN:
Category : Business & Economics
Languages : en
Pages : 206
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Book Description
Author: Samuel Karlin
Publisher:
ISBN:
Category : Economics, Mathematical
Languages : en
Pages : 408
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Book Description
V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.
Author: Julio González-Díaz
Publisher: American Mathematical Society
ISBN: 1470465736
Category : Mathematics
Languages : en
Pages : 324
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Book Description
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.
Author: Herve Moulin
Publisher: NYU Press
ISBN: 0814764231
Category : Business & Economics
Languages : en
Pages : 291
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Book Description
The second edition of Herve Moulin's highly successful book outlines the fundamental concepts of game theory—one of the most provocative and fruitful applications of mathematics to the human sciences—and demonstrates its uses in economic and political discourse. Thoroughly revised, and now published with an accompanying workbook of 89 exercises, this rigorous yet accessible test explains the uses of game theory in largely nontechnical terms. Moulin carefully discusses the behavioral scenarios underlying the various equilibrium concepts. He provides a self-contained exposition of basic equilibrium concepts for strategic games: perfect (sophisticated) equilibrium, Nash's noncooperative example, Aumann's strong and correlated example, and several versions of the core. The author is concerned less with mathematical refinements than with helping the reader understand the strategic stories backing these concepts. HIs examples therefore give a fair account of the current game models used in economics, politics, and sociology. Addressed here are oligopoly theory, the provision of public gtoods, auctions, voting procedures, and cost allocation problems, as well as the classic prisoner's dilemma, tic-tac-toe, and Marienbad games. Extremely popular in its original French edition and in its first English version, Moulin's excellent introductory text is now, more than ever, the book to answer the essential questions about the application of game theory to the social sciences.
Author: John Eatwell
Publisher: Springer
ISBN: 1349201812
Category : Business & Economics
Languages : en
Pages : 275
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Book Description
This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.
