The game theory applied to  Bitcoin (first word's symbol  is a capital) is all about decision making among miners - i.e. what  transactions include into blocks, what chain to continue etc. ^{The good reading on this is over there.}

The game theory in applied to bitcoin (first word's symbol  is the  lowercase letter)   is all about decision making among bulls and bears.  If you are free with mathematics then read   following paper ^{"Establishing cryptocurrency equilibria through game theory"} to learn how it works.