Due to the nature of the debate between the two, it has been agreed by all parties that Singularity and Didactic should both be thrown out, as either one of those winning would result in a sort of resentment. Since those were the two specified ones in this poll, this poll is now kind of a moot point and we settled things through the Skype chat instead.
After a fairly long voting process which included a 2-minute brainstorm rush for names then voting possibilities away, we have come as close to a consensus as is really practical given the number of people involved. The chosen name is [Meta]game.