Not in my personal experience, but I've seen it work in OTB tournament games. Kids are actually taught (by some coaches) that when the position is hopeless, lose all your pieces and march your king to the center to see if they'll stalemate you accidentally.
Even considering this, and also understanding it's their right to play on, I also see it as somewhat rude. But as long as they're playing at a fair pace (which should be fast considering they only have their king) then I see it as tolerable.
I see your point.
And in Blitz or Bullet I'm sure my argument is wrong. Things happen. But in regular chess or online chess I sometimes take it as an insult against me. I'm like, "this guy doesn't think too highly of me to think I might fall for stalemate".
And as I've said, in my experience it's never once worked. Anyway. Don't want to sound too complainy. It's just something that can get annoying seeing so many people do it. Most resign, but way too many try for stalemate. But it is their right. Just as it's my right to find it insulting. I realize that I'm not exactly an expert, and my opponent knows it, but I would not fall for stalemate.
Not once have I ever succeeded in forcing a semi-competent opponent to stalemate, nor have I ever fallen for a stalemate. Yet time and time again I am forced to close out obviously won positions against opponents seeking stalemate. And yes, they're playing for stalemate - I can tell by their moves (pushing pawns forward, trading off material, etc). It's utterly retarded. Just resign.
Does it ever work? In your experience?