Vorob'ev N. Foundations of Game Theory. Noncooperative Games 1994

Textbook in PDF format

This work is intended to be studied by mathematicians seeking an introductory textbook on game theory. It is self-contained and clearly written, requiring from the reader only a general mathematical background in calculus, fixed-point theory, linear algebra and probability theory.
Historical notes and references for the Foreword and Introduction.
Noncooperative Games.
Finite noncooperative games.
Two-person zero-sum games.
Matrix games