For six days last May on Mount McKinley, a climber from Croatia played chicken with Denali National Park rangers and volunteers. She was at 14,200 feet with no apparent injury or illness, but she insisted she wasn't going to walk off the mountain and demanded she be given air transportation. Rangers were willing to do just about anything, short of an air evacuation, to help her down. In the end, the climber won. And the rangers who oversaw the whole ordeal still aren't happy about it.
http://www.adn.com/2010/05/19/1286141/attitude-sickness-halted-denali.html