Isn't it some kind of game theory problem? If you don't strike and they strike, you are guaranteed to lose. If you strike first, there is, however slim, chance of neutralizing enemy forces and surviving. Opposite side thinks the same.
There is no chance of survival. As soon as your missiles leave the earth or the sea, the enemy launches their entire salvo before your strike has time to hit its targets, and the world ends.
Yes, it's called MAD. I think it's been settled fact for decades that any country launching a nuclear strike against another nuclear armed country will be in turn annihilated. There is no survival.