joshi tm: Yes, I would also like this feature ! Of course nobody is forced to start more games that he would like, but it is much easier to decline a challenge when you simply can't start a new game (ideally, people could not even challenge you when you are at the maximum). The game limitation, even if it was only 20 games, was one thing I found cool about the pawn status.
Now the question is whether BK would like to help curing BK addiction !
CryingLoser: I like your idea of forcing the above game limitation on players who time out, the problem being of course to determine a simple and fair algorithm for it.