Understanding game theory [electronic resource] : introduction to the analysis of many agent systems with competition and cooperation / by Vassili N. Kolokoltsov, Oleg A Malafeyev.
By: Kolokolʹt︠s︡ov, V. N. (Vasiliĭ Nikitich).
Contributor(s): Malafeev, O. A. (Oleg Alekseevich).
Material type: BookPublisher: Singapore : World Scientific, 2020Edition: 2nd ed.Description: 1 online resource (xv, 394 p.).ISBN: 9789811214868.Subject(s): Game theoryGenre/Form: Electronic books.DDC classification: 519.3 Online resources: Access to full text is restricted to subscribers.Includes bibliographical references and index.
"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"--Publisher's website.
Basic ideas. Around the prisoner's dilemma. Auctions and networks. Wise men and businessmen. Hawks and doves, lions and lambs. Coalitions and distribution. Presidents and dictators. At the doors of quantum games. It's party time! -- Armed with mathematics. A rapid course in mathematical game theory. Examples of game models and methods. Elements of more advanced analysis. Games of many agents in statistical limit. Quantum games.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
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