Some Recent Developments in N-Person Game Theory PDF Download
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Author: William F. Lucas
Publisher:
ISBN:
Category :
Languages : en
Pages : 71
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Book Description
A general survey of the mathematical theory of games is presented with particular emphasis on recent developments in the theory of the core and stable sets (solutions) for the multi-person games in characteristic function form and with side payments. Extensions to games without side payments, games with infinitely many players, and the partition function form are mentioned. The history leading up to the discovery of a ten-person game with no stable set is reviewed. The equilibrium theory for noncooperative games in normal form as well as additional cooperative solution concepts are covered very briefly. (Author).
Author: William F. Lucas
Publisher:
ISBN:
Category :
Languages : en
Pages : 71
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Book Description
A general survey of the mathematical theory of games is presented with particular emphasis on recent developments in the theory of the core and stable sets (solutions) for the multi-person games in characteristic function form and with side payments. Extensions to games without side payments, games with infinitely many players, and the partition function form are mentioned. The history leading up to the discovery of a ten-person game with no stable set is reviewed. The equilibrium theory for noncooperative games in normal form as well as additional cooperative solution concepts are covered very briefly. (Author).
Author: Anatol Rapoport
Publisher: Courier Corporation
ISBN: 0486143678
Category : Mathematics
Languages : en
Pages : 337
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Book Description
DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div
Author:
Publisher:
ISBN:
Category : Game theory
Languages : en
Pages : 300
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Book Description
Author: John Creedy
Publisher: Edward Elgar Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
This book reviews the developments og game theoretic concepts during the last decade. It evaluates the most recent research on bounded rationality and automata, on signalling games and on the role of learning in game theory. It also presents material on major applications including market institutions and optimal contract forms under asymmetric information, the implications of strategic information transmission, and evolutionary game theory with its potential to overcome the famous prisoners ̀dilemma problem.
Author: Kolokoltsov Vasily N
Publisher: World Scientific Publishing Company
ISBN: 981310774X
Category : Mathematics
Languages : en
Pages : 300
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Book Description
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. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.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.
Author: L. C. Thomas
Publisher: Courier Corporation
ISBN: 0486143732
Category : Mathematics
Languages : en
Pages : 284
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Book Description
This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.
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: William F. Lucas
Publisher: American Mathematical Soc.
ISBN: 9780821867334
Category : Mathematics
Languages : en
Pages : 138
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Book Description
Author: Nikolai N. Vorob'ev
Publisher: Springer Science & Business Media
ISBN: 1461263417
Category : Science
Languages : en
Pages : 189
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Book Description
The basis for this book is a number of lectures given frequently by the author to third year students of the Department of Economics at Leningrad State University who specialize in economical cybernetics. The main purpose of this book is to provide the student with a relatively simple and easy-to-understand manual containing the basic mathematical machinery utilized in the theory of games. Practical examples (including those from the field of economics) serve mainly as an interpretation of the mathematical foundations of this theory rather than as indications of their actual or potential applicability. The present volume is significantly different from other books on the theory of games. The difference is both in the choice of mathematical problems as well as in the nature of the exposition. The realm of the problems is somewhat limited but the author has tried to achieve the greatest possible systematization in his exposition. Whenever possible the author has attempted to provide a game-theoretical argument with the necessary mathematical rigor and reasonable generality. Formal mathematical prerequisites for this book are quite modest. Only the elementary tools of linear algebra and mathematical analysis are used.
Author: Robert J. Aumann
Publisher: Princeton University Press
ISBN: 9780691079028
Category : Mathematics
Languages : en
Pages : 698
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Book Description
The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.
