[SETUP] Rule of Three

[Sirius9121]

@Murdercat

What if 4 scum and 3 in pool?

If 1/3 are scum OR all are scum, they get thrown into a fucking huge pit

[MURDERCAT]

Yeah, but it basically only matters when the number of mafia is 2 or 3.
(At 4, all the scum can't be in the pool, at 1 it's gg anyway.)

Oh yeah, hopefully that answers for Sirius too.

[callforjudgement]

Note that this is effectively White Flag: if there's only one scum left then they instantly lose if it's ever 2:1 and have no way to win from 3:1, so a 1 scum ending will inevitably lead to a town win eventually.

The numerical dynamics are weird, though; I don't think I've ever seen a setup before where 13:4 is 50% town EV, but 11:4 is "town are on the verge of instant loss and need to play perfectly from now on".

I therefore have a suspicion that this is somewhat scumsided in practice, even if it's balanced by EV. Normally the downside for scum for manipulating a Day vote is that it becomes obvious you did it, and obvious you had scum motivation behind it, in retrospect. In this setup, scum have the choice of aiming for 0/3 or 2/3, so it's going to be much harder for town to figure out what scum are doing (or even know what scum would be aiming for).