Depending on what you're thinking the authority can do, "for survival's stake" may very well be exactly what those people in the Milgram Experiment were experiencing.
"No, I-I can't, b-but he's in authority, and I'll be in trouble if I don't, so", he cringes, "I must."
The Milgram Experiment doesn't indicate that it in any way threatened the participants for non-compliance, yet these people were willing to knowingly endanger someone else's life. I think why they were willing to do that lies more with the belief that the authority would take the blame rather than any reasonable fear of punishment from the authority.
My guess is that they were rationalizing it in the experiment context. "The authority is telling me to go ahead, there has to be something else going on here. His life can't really be in danger."
