N+1 Vanilla Townies
One Day only. If a Mafia Lover is lynched, town wins. If a Vanilla Townie is lynched, or there is no lynch, Mafia win.
Using typical EV calculations, the EV is N/(2N+1), which is 1/3 for N=1 and approaches 1/2 for large N.
However, I suspect that the actual win rate will approach 0 for large N. I believe this is possibly due to the large amount of control scum have in manipulating their votes, and townies needing to find each other to work together to lynch a scum.
If town win rate is so low, shouldn’t town lynch randomly to maximize their winrate? Well, I think town
This would be in fact different if there was a town treestump. While they cannot vote, they can produce a random number, bringing the game close to EV. However, without a treestump, I don’t think a random number can be produced, and the true EV may be lower than calculated by traditional methods.