Is there some reason that people play on in totally lost positions? I have played out games with a queen, minor piece and pawns. I understand that some players like to play to mate but it is courteous to notify your opponent first, otherwise just resign. This is especially offensive in blitz chess.
An important rule: never resign when your opponent is in time trouble.
In blitz, time trouble is static. Resignations are a rare occurence in blitz. I don't understand your comment about a refusal to resign being particularly offensive in blitz. Perhaps you recently lost a game you feel you should have won? If so, the fact that you lost completely justifies your opponent's choice to play on. A time advantage is as much a part of the game as a material advantage.
Is there some reason that people play on in totally lost positions? I have played out games with a queen, minor piece and pawns. I understand that some players like to play to mate but it is courteous to notify your opponent first, otherwise just resign. This is especially offensive in blitz chess.