The game theory applied to Bitcoin (word's first 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 applied to bitcoin (word's first symbol is the lowercase letter) is all about decision making among bulls and bears. If you took to mathematics like a duck to water then read the following paper
"Establishing cryptocurrency equilibria through game theory" to learn how it works.
Thank you for your wonderful reply and information. To be honest, my math is really average, and I can't handle complicated calculations. Now I can only think about the game theory knowledge in bitcoin network from the ideological level. I still have too much knowledge to keep learning.