Actually that was pointless, because I want to say one more thing.
My analyzing the Bob kill should not be confused with my overall reads. That ranked list I provided (Sugar Moon > Leesbra > ExLight > serif) refers solely to a single slice of the evidence pie (Bob being killed). My broader POE had led me to the opposite end with serif as the top suspect, so there's some turbulence here for me. This is not an easy choice. I will think it over for now.
I would like to hear your thoughts on the merits of having the PRs claim today.
My impression had been that it doesn't provide a mathematical advantage. My brain is not kind to math this evening, so I haven't double-checked. Let me see if I can:
4 vs. 1 today
- If two power roles claim, they are virtually cleared and the mafia is forced to claim vanilla.
- Essentially this becomes 2 + [2 vs. 1], so the chance of a randomized correct answer is .33
- If the answer is wrong (.67 probability), the chance is .50 in final three (2 vs 1 with one clear).
I think this calls for a conjunctive probability:
- Probability of right first time = .33
- Probability of wrong first time and right in final three = .67 x .50 = .33
- Probability of wrong both times = .67 x .50 = .33
If nobody claims at all today, that implies a power role is not threatened (because a town power role about to be voted out mechanically must claim), so it'd still be one mafia among three options -- .33 chance today, and if wrong (.67) followed by .50 in final three when everyone claims.
If one power role claims under threat of elimination, four non-claims remain (so 1 in 4 or .25, but the second power role may then also claim if threatened, returning us to .33).
So it is the same? I am not sure I am doing this correctly. It's 2:00 AM lol.
If there is an advantage to mass claiming, it'd be that it alleviates a danger of prematurely hammering a power role before they claim or having a last minute panic vote on a power role at EOD. I think.
I very much welcome criticism if any of this logic is bad. I'm tired.