Mystery Mode

[vizIIsto]

WARNING: this is a dumb idea. Please take everything mentioned in this idea with a grain of salt.

So, what if there was a mode in mafia where NOBODY knows their role?
It works just like standard mafia: there's a small group of mafioso, and a bigger group of townies.
However, nobody knows what role they are. No one. Everyone is either a vanilla townie or vanilla mafioso, but which one they are, they don't know.
Lynching goes just like usual. Majority vote gets voted out.
During the night, one townie gets killed by random choice.
Assumably, everybody wants to look the most town as possible. However, there will be no real scumslips because no one knows if they are scum. It's not always the best idea to vote out the most suspicious looking townie, because there is no way that those suspicions could be real.
Besides, mafia members don't know each other, so the argument of 'they defended x and x was mafia' doesn't count.
It's basically all random, but tests one's ability to look as town as possible.

My theoretical question is: would the mafia and the townies have an equal chance of winning when the common 7/9/15-player setups of mafia:town ratio stay the same? Or would it be more favorable for town / mafia?

[vizIIsto]

Another variation for this is one where some of the players, besides being vanilla Mafioso/Townie, are Jesters. Preferably not more than 20% of the players. Again, a player does not know if he's a Jester or not.
Now, how will the players find a mix between trying to look town (like the majority actually is) and trying to look suspicious (which both mafioso and jesters are), while not knowing who is who, and not even knowing who you are?

[vizIIsto]

Perhaps a mode where one person knows who everybody is (either town or mafia), but he's not allowed to speak about it? Because otherwise the game would be ruined. It's like a secret player that DOES know who who is, but he HAS to be silent about it, otherwise his side loses.