This textbook is a good nontechnical introduction. To understand the intended audience, you need to read the preface of this book. the authors intended this book to be a textbook for freshmen and sophomore who are not in a particular discipline yet. Therefore, (1) the book is intended for that level, and (2) it takes a non-disciplinary approach, in the sense that it is not written for economics, or political science or business majors per se. Instead it is written for all of them, but in a more general way. Also, the authors say the book sort of replaced 'thinking strategically' by Dixit and Nalebuff, since the latter was more of a trade book, not a textbook. Therefore, owning both books could be a bit redundant, but it could also offer a nice pairing and complement each other.
If you are looking for a mathematical approach, this is probably not the book for you. If you know nothing about game theory and just want to read up on it, go with 'thinking strategically' instead of this because this is a textbook. If you want a relatively non-technical introduction as part of a course or for self-study, or if you have another textbook that you find too technical, this would be a good book for you.