Obstinacy to what end?
The English have a word for it -
bloody-mindedness: the behavior of someone who is very determined and refuses to give up, to change their mind, or to do what others want them to do.
I've met people like that and they can be very difficult to deal with. Any suggestion you make is immediately rejected or ignored. In fact, they'll go out of their way to do the opposite just to show you up. Reading about some of BL's behaviors--like his insistence on hiking without shoes regardless of weather or trail condition--reminded me of the bloody-minded people I know.