Unexpected Moves Are the Most Interesting
Game theory is not limited to what we usually call a game. Indeed, it addresses any situation in which one’s actions have consequences over the other participants (players). In principle, this expands the scope of game theory to almost any human interaction. There is a whole literature within game theory that is aimed at mathematically formalizing how players think, both about the others’ moves and about their own. In this context, the game of mirrors produced by the I-think-you-think-I-think loop is technically called a hierarchy of beliefs.