I often wonder if it is better to resign or keep playing at a disadvantage after making an obvious blunder (for instance, leaving a piece hanging, only to realize too late that you made the mistake).
Let me be clear: I am referring only to casual games (not tournament), and my main goals are 1) to have fun and 2) to improve.
It can be frustrating to keep playing at a disadvantage, but does that additional challenge help make you stronger, or is it better to just resign and start a new game?
An example would be the game below, where I blundered (black) on move 13 and left my bishop hanging... should I keep playing or resign?
[FEN ""] 1.e4 e5 2.Nf3 Nc6 3.Bc4 Nf6 4.Ng5 d5 5.exd5 Na5 6.Bb5+ Bd7 7.Bxd7+ Qxd7 8.Nc3 Nxd5 9.d3 Nc6 10.O-O Nxc3 11.bxc3 O-O-O 12.f4 f6 13.Ne4 Bc5+