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Game theory in action. An introduction to classical and evolutionary models. (English) Zbl 1396.91004

Princeton, NJ: Princeton University Press (ISBN 978-0-691-16764-0/hbk; 978-0-691-16765-7/pbk; 978-1-4008-8088-1/ebook). xii, 274 p. (2016).
Game theory is a most active and constantly expanding field. The ability to understand and predict behavior in strategic situations, in which an individual’s success is making choices of others, is the domain of game theory. The book consists of ten chapters and gives the problems of game theory from a different area of study. It is nevertheless helpful to treat game theory as a single mathematical field, since then techniques for problems in one area, for example evolutionary biology, become avaliable to another, for example economics. The idea of this book is to learn an idea, and then try to use it in as many interesting ways as possible. The book’s examples and problems are the heart of the book. The text includes a substantial treatment of evolutionary game theory, where strategies are not chosen through rational analysis and equilibria. The book is one of the best books written in game theory, it is perfect to learn the concepts and practical tools of game theory. The book aimed all students in mathematics, biology, and economics who have studied basic calculus and some differential equations.

MSC:

91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance
91A40 Other game-theoretic models
91A22 Evolutionary games
91A80 Applications of game theory
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)
97M40 Operations research, economics (aspects of mathematics education)
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