BGBedlam: Surely a solution would be to put a limit on the maximum amount of games somebody can play.

For sure. The idea of "unlimited games" is an impractical ideal. I think the limit should be literally what you said, the number of games that people can play - and a person who is continuously playing at the limit of the time allowed has probably got more games than they can play.

It's obviously not going to be a hard limit. A hundred Ludo games is much more manageable than a hundred games of Chess (unless it's a player who more or less likes clicking Chess pieces at random ).