If we really need such a term for such family, and if "robotically honest gaming" is a bit too long, I prefer just Bitshares "Gaming" or just "Game". "Autonomous Game" is a word which could help avoid regulation problems in some countries.
But I think it's OK to just keep as it is, as "Bitshares Lotto", which is from Invictus, we might could create a sub forum under "Alternative DACs" to discuss the topic of Game DACs?