Mathematical Methods of Game and Economic Theory

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Publisher : Courier Corporation
ISBN 13 : 048646265X
Total Pages : 658 pages
Book Rating : 4.4/5 (864 download)

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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 and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. 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.

Mathematical Methods and Theory in Games, Programming, and Economics

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Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.3/5 (91 download)

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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 and published by . This book was released on 1959 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.

Mathematical Methods of Game and Economic Theory

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Publisher : Dover Publications
ISBN 13 : 9780486789354
Total Pages : 656 pages
Book Rating : 4.7/5 (893 download)

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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 and published by Dover Publications. This book was released on 2013-12-23 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.

Mathematical Optimization and Economic Theory

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Publisher : SIAM
ISBN 13 : 0898715113
Total Pages : 515 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Optimization and Economic Theory by : Michael D. Intriligator

Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Mathematical Economics and Game Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642454941
Total Pages : 714 pages
Book Rating : 4.6/5 (424 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods and Theory in Games, Programming, and Economics

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Publisher : Elsevier
ISBN 13 : 1483224007
Total Pages : 398 pages
Book Rating : 4.4/5 (832 download)

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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 and published by Elsevier. This book was released on 2014-05-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Models for Economists

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Publisher : Cambridge University Press
ISBN 13 : 9780521585293
Total Pages : 630 pages
Book Rating : 4.5/5 (852 download)

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Book Synopsis Mathematical Methods and Models for Economists by : Angel de la Fuente

Download or read book Mathematical Methods and Models for Economists written by Angel de la Fuente and published by Cambridge University Press. This book was released on 2000-01-28 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Theory of Games and Economic Behavior

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781983879371
Total Pages : 664 pages
Book Rating : 4.8/5 (793 download)

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Book Synopsis Theory of Games and Economic Behavior by : John Neumann

Download or read book Theory of Games and Economic Behavior written by John Neumann and published by Createspace Independent Publishing Platform. This book was released on 2018-03-23 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an exposition and various applications of a mathematical theory of games.

Mathematical Methods and Theory in Games, Programming, and Economics

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Publisher : Elsevier
ISBN 13 : 1483222985
Total Pages : 444 pages
Book Rating : 4.4/5 (832 download)

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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 and published by Elsevier. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Understanding Game Theory

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Publisher : World Scientific
ISBN 13 : 9814291722
Total Pages : 301 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Understanding Game Theory by : Vasilij Nikiti? Kolokol'cov

Download or read book Understanding Game Theory written by Vasilij Nikiti? Kolokol'cov and published by World Scientific. This book was released on 2010 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a concise but wide-ranging introduction to games, including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics.

Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811214875
Total Pages : 411 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) by : Vasily N Kolokoltsov

Download or read book Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) written by Vasily N Kolokoltsov and published by World Scientific. This book was released on 2020-08-21 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.

Handbook of Game Theory with Economic Applications

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Publisher : Elsevier
ISBN 13 : 9780444894274
Total Pages : 824 pages
Book Rating : 4.8/5 (942 download)

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Book Synopsis Handbook of Game Theory with Economic Applications by : R.J. Aumann

Download or read book Handbook of Game Theory with Economic Applications written by R.J. Aumann and published by Elsevier. This book was released on 1992 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Game Theory and Applications

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Publisher : Academic Press
ISBN 13 : 1483295052
Total Pages : 436 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Game Theory and Applications by : Tatsuro Ichiishi

Download or read book Game Theory and Applications written by Tatsuro Ichiishi and published by Academic Press. This book was released on 2014-06-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Game and Economic Theory

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Publisher : University of Michigan Press
ISBN 13 : 9780472106738
Total Pages : 478 pages
Book Rating : 4.1/5 (67 download)

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Book Synopsis Game and Economic Theory by : Sergiu Hart

Download or read book Game and Economic Theory written by Sergiu Hart and published by University of Michigan Press. This book was released on 1995 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding works showing the application of game theory to economic theory.

Theory of Games and Economic Behavior

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Publisher : Princeton University Press
ISBN 13 : 1400829461
Total Pages : 774 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Theory of Games and Economic Behavior by : John von Neumann

Download or read book Theory of Games and Economic Behavior written by John von Neumann and published by Princeton University Press. This book was released on 2007-03-19 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences. This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

Toward a History of Game Theory

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Publisher : Duke University Press
ISBN 13 : 9780822312536
Total Pages : 320 pages
Book Rating : 4.3/5 (125 download)

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Book Synopsis Toward a History of Game Theory by : E. Roy Weintraub

Download or read book Toward a History of Game Theory written by E. Roy Weintraub and published by Duke University Press. This book was released on 1992 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the 1940s "game theory" emerged from the fields of mathematics and economics to provide a revolutionary new method of analysis. Today game theory provides a language for discussing conflict and cooperation not only for economists, but also for business analysts, sociologists, war planners, international relations theorists, and evolutionary biologists. Toward a History of Game Theory offers the first history of the development, reception, and dissemination of this crucial theory. Drawing on interviews with original members of the game theory community and on the Morgenstern diaries, the first section of the book examines early work in game theory. It focuses on the groundbreaking role of the von Neumann-Morgenstern collaborative work, The Theory of Games and Economic Behavior (1944). The second section recounts the reception of this new theory, revealing just how game theory made its way into the literatures of the time and thus became known among relevant communities of scholars. The contributors explore how game theory became a wedge in opening up the social sciences to mathematical tools and use the personal recollections of scholars who taught at Michigan and Princeton in the late 1940s to show why the theory captivated those practitioners now considered to be "giants" in the field. The final section traces the flow of the ideas of game theory into political science, operations research, and experimental economics. Contributors. Mary Ann Dimand, Robert W. Dimand, Robert J. Leonard, Philip Mirowski, Angela M. O'Rand, Howard Raiffa, Urs Rellstab, Robin E. Rider, William H. Riker, Andrew Schotter, Martin Shubik, Vernon L. Smith

Mathematical Methods and Theory in Games

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Mathematical Methods and Theory in Games by :

Download or read book Mathematical Methods and Theory in Games written by and published by . This book was released on 1959 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: