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This textbook provides an introduction to non-cooperative game theory. The printed version is divided into two volummes: Volume 1 covers the basic concepts, while Volume 2 is devoted to advanced topics. Volume 1 is divided into two parts: Part I deals with games with ordinal payoffs, while Part II covers games with cardinal payoffs. In each part we discuss both strategic-form games and dynamic games. Volume 2 is divided into three parts. The first part deals with the notions of knowledge, belief and common knowledge. The second part covers solution concepts for dynamic games and the third part develops the theory of games of incomplete information. The book is suitable for both self-study and an undergraduate or first-year graduate-level course in game theory. It is written to be accessible to anybody with high-school level knowledge of mathematics. At the end of each chapter there is a collection of exercises accompanied by detailed answers. There is a total of more than 190 exercises. The book is richly illustrated with approximately 400 figures.