where they would choose the 0.5 anyway. This seems really intuitive but there's a problem with this, which is really subtle. I'm going to have to go to a bigger game, which is going to get even more complicated to really illustrate it. So, here is this bigger game. It's still pretty similar, that a coin that lands heads or tails with 50-50 probability. Player one in both cases now, let's say has this deviate action. In the heads case, they can get 0.5, and at tails case, they get minus 0.5. Or they can choose to continue,