Game theory in education (child's socialization and social anthropology) is not an unmanagable field but very conservative with only few new details within the last 50 years.
Only those who make the mistake of choosing the keyword "game" on the Internet to find their way around could get the wrong impression that there are "tons" of literature on game theory. This is not the case at all, on the contrary. The state of the theory of playing by children and adults (outside electronic media) has hardly changed. With regard to video games, relatively much is written, but hardly any game theory. Once you leave out the whole area of video games, there are not many researchers who dedicated their theoretical and practical research to the game. I assume that today, 4 years after Brian-Sutton Smith (who taught at PEN University), has theoretically seen further and achieved more. So I wouldn't start with the famous but historical book by Jan Huizinga (Homo Ludens) to research game theory, but with Brian Sutton-Smith. In my RG project are some texts, inspired by this great researcher of play and games.
Thank you both for your answer. Considering Hein's comments, actually I agree, there aren't too many contemporary academics who theoretically focused on "theory of playing". I will read your papers about Sutton-Smith.