I whipped up a sim that does one scum group and has settings like this: Lyncher y/n, Vengeful-style godfather y/n, town has to lynch lyncher even if scum are dead y/n, town wins a final two of lyncher and target y/n, and scum NKs y/n.
I'm a little torn between two setups; one is a third of a day longer (on average) but tilts the game towards the lyncher at town's expense. I'll suggest both:
Crush A
1 mafia godfather (vengeful-style)
1 mafia goon
1 lyncher (who is informed of his target)
4 townies (one of whom is unknowingly the lyncher's target)
day start. mafia can kill at night.
If the target is lynched, the game is over and the lyncher wins.
If the godfather is lynched, the goon dies with him.
If both mafia are dead following a lynch, the town wins. If the lyncher and target are both still alive, then the lyncher loses. (It follows from this that a lyncher-target final 2 is not a draw in this game.)
If the target is nightkilled, the lyncher (if still alive) turns into a townie.
The target only shows up as "townie" when nightkilled, not "target."
Stats assuming random moves:
Number of days: 1.925 average
Town wins: 35.6%
Mafia wins: 43.3%
Lyncher wins: 21.1% (plus 5.1% wins as a townie)
Crush B
Same as Crush A, except the elimination of the mafia isn't game over. If the lyncher and target are both still alive, the town must try to lynch the lyncher. However, the situation of a final 2 with the lyncher and the target is still a town win, not a draw.
Stats assuming random moves:
Number of days: 2.267 average
Town wins: 27.0%
Mafia wins: 43.3%
Lyncher wins: 29.7% (plus 5.1% wins as a townie)
If the lyncher-target final 2 scenario is considered a draw, this lowers town's win odds to 23.0%. It also means a lyncher-target-mafia final 3 scenario doesn't permit a town victory.
Ok, commentary: I call it "Crush" because the info the town can gain stems largely from two players' uncompromisable stances towards another player. The goon
cannot
let the godfather get lynched. The lyncher
must
get the target lynched (or nightkilled, if town goes on to win). They have strange crushes on each other.
Additionally, in Crush A, the lyncher doesn't want the godfather lynched while the target is still alive. Although the lyncher doesn't know who the godfather is, this motivation of the lyncher might help to make him more detectable.
Thoughts?