At lower levels, continue no matter what. For some reasons:
- Your opponent will blunder, the longer the game goes the more chances for blunders. Pounce on them and you never know.
- Your opponent can stalemate the game. 1/2 a point if better than no point.
- Most lower level players don't know how to play endgames.
- Keep an eye for the opportunity to sneak in a perpetual check , hence forcing a draw.
I'm around 1100 right now and I usually only resign when it's clear to me that my position is losing or if I'm down on material too much to win. I like to continue a game to mate to give myself and the opponent the opportunity to practice. See if I can regain the position and simply to get practicing endgames. I heard that in higher level play it is considered courtesy to resign when a good player would be able to beat you. But as a lower level player I don't always see that there's no way out, and I want to continue hoping that the opponent blunders or I make some kind of brilliant effort to save the game. Should I resign in 1100 level games or continue no matter what?