Mathematical basis of game theory.

Summary This book is intended for master students as well as for students of engineering schools. The mathematical knowledge required is that of a scientific degree. This course is devoted to a presentation of the main concepts and mathematical tools of strategic game theory. The emphasis is on the presentation and proofs of the fundamental results (minmax and value operator, Nash and correlated equilibrium). In addition, some recent developments are presented: variety of equilibria, selection dynamics, learning and repeated games. The book includes an important section of exercises and answers.