Resign and finish Game.
It's really irritating having stayed long for a game that is possibly to end well with one end winning only for the opponent to resign without any good reason just because he/she don't want you gain more points. Why play when you know you can't. It's all for fun but do everyone see it like the way you see it. I think a good chess player should be a die-hard player who no matter the condition would stand to face the music even at the point of no piece on-board except when the king is captured.