Game theory basics This book is an introduction to the mathematics of non cooperative game theory. Each concept is explained in detail starting from a main example with a slowpaced proof of each theorem. The book has been designed and tested for self study and as an undergraduate course text with core chapters and optional chapters for different audiences. It has been developed over 15 years for a one semester course on game theory at the London School of Economics and the distance learning program of the University of London attended each year by about 200 third year students in mathematics economics management and other degrees. After studying this book a student who started from first year mathematics (the basics of linear algebra analysis and probability) will have a solid understanding of the most important concepts and theorems of non cooperative game theory.