“And if you both do that, you both crash and die. It is not the best response to itself, so can’t be seen to be a Nash equilibrium.”
Of course it’s not. I was mainly objecting to the earlier comment that it was an example of a random game. The it is is a psychological game—ideally, you want to convince your opponent before the game starts that you’ll drive right into him if you need to to win.
“And if you both do that, you both crash and die. It is not the best response to itself, so can’t be seen to be a Nash equilibrium.”
Of course it’s not. I was mainly objecting to the earlier comment that it was an example of a random game. The it is is a psychological game—ideally, you want to convince your opponent before the game starts that you’ll drive right into him if you need to to win.