Answer this question honestly:
If your child was hours away from starving to death, literally on her/his death bed, and I had a shotgun slung across my chest and pushing a basket full of food down the street would you shoot me in the back of the head to feed your child?
Short of a climate meltdown or some other random type of Armageddon, I shouldn't ever need to make that decision.
I'll be the guy with the food and the guns. Survival skills learned over 30 years and a properly organized posse of like-minded friends FTW.
Each and every one of us will survive or die fighting. How will it work out? Who knows? All I do know is that I have the experience, training, education, and cognitive abilities to meet those challenges head-on when they present themselves -- just as I have done, thus far, in our civilized society.
I assume luck and timing will play a role in those situations as well.
Truly choose between my kids and you, with no other food anywhere? That's easy... you'd give up some of the food willingly, or you'd die.
It's kind of a silly question since you already knew the answer.
PS: I'm intimately familiar with what "hungry, armed, and desperate" looks like...
EDIT: unlike some others, I have no desire at all to ever see it happen. My point was that we would each live or die using the same or similar abilities that allow us to be successful, or cause us to fail, in our current civilized society.