Stubborn old men.

Yesterday I played a chess game against an old man. At move 70 or so, I had a king, bishop and a pawn against a king, rook and a pawn. The position was clearly drawn, but the old geezer refused to accept my draw offers. We played for five long hours, and everyone observed our game at the end. Finally, I made a blunder and the old man won the game undisserved. Afterwards, I said something like:
"I shouldn't have played the extremely stupid move Bd8??, which looses immediately. If I had just played Kc1, it would have been an easy draw. Then the old man said:                                                                                                    "Well, I don't know. If I had been able to drive your king to the edge, and saccrificed my rook for your bishop, I could probably win with my a-pawn."  I just stared at him, and everyone said:                    

"But you can never drive the king away and then win with your pawn. It's easy to see it's a draw."  But the old man was stubborn and didn't seem to get it, though I believe that deep inside he knew it was a draw. This behaviour I have seen before, old men playing youths in a clearly lost or drawn position and refuse to resign or draw. It's totally unacceptable to me. Why are they so stubborn? Is it because they're playing against younger players, and think they don't have the experience to see easy traps? If you're one of these horrible individuals, then I beg you to stop doing it. Be a good sportsman and accept your loss.

By the way, here's the position I blundered:

If you can't see it's a draw, you're not a good chessplayer yet.