Agreeing a draw is rather the obvious answer, especially with that link that says Offer draw, lol. Admittedly few would realise it but at Vog there is no option to draw; it's win, lose or resign. As I was unable to see the matches referred to, I was unable to determine haow they were drawn and was wondering whether I was unaware of some quirk of the game that that made a draw possible through play.

WhiteTower: One possibility is that the two players are more in it for the sociability, and the friendship outweighs the competitive aspect. In the holiday case, or any similar, they might agree a draw because a timeout win would be taking an unfair advantage.

Another, perhaps, is if there is a strong competitive aspect and the draw is agreeable because they want their matches to reflect only their playing and not spurious wins. In the latter case the overall rating would matter less than the match history between them.

Then I imagine there's a whole bunch of players who don't really care about statistics or ratings. For them it might be as simple as "Draw?" "Okay, why not."

One reason for drawing that I have: I occasionally give backgammon lessons at Vog and when the main points of the lesson have been given, or my student's reached the brain-full-need-to-digest stage, lol, then I will resign the game or match. (It's just a politeness and doesn't affect my rating because we play unrated). If there were a draw option then I could use that.