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Brief rant - it's OK to resign! I understand playing a game through to the end, especially when there is the possibility of some learning coming out of it. But once you are mathematically eliminated, and nothing is to be gained even in terms of knowledge, why drag things out?
Hrqls: Yeah, I certainly could, but I don't feel strongly enough to bother with that most of the time - just enough tonight for a small rant on the boards instead. :) And in this particular case, it's someone with in-game comments shut off. I feel better now anyway. :D
Carpe Diem: it's OK to resign! [,,,] why drag things out?
It might surprise you but for some people, it's not. They'd rather play the loss than resign it. It may or may not be related to suicide versus natural death. ;o)
Another possibility is that the person thinks that they're doing you a favour by giving you the satisfaction of the final, winning, move. I do know that I sometimes feel robbed of that minor pleasure when someone resigns close to the end.
A third possibility is that "mathematically eliminated" does not always occur to the non-mathematically minded.
A fourth ... an opponent might be resentful of the loss and dragging it out to punish you.
The most likely, I would guess, is thoughtlessness or mindlessness; the force of habit.... The game appears, the player moves, on to the next....
Clandestine 1: I especially hate being resigned on in the Dice Poker games. Several times I had managed to get 'Values in all Boxes', and my opponent resigned two moves before the end, denying me the achievement.
But generally, I agree. If the game is mathematically lost, you should resign. There are other sites where this is implemented (the game just ends), but it is not trivial to code that for each game.