OK, seriously, this game is getting to me. I woke up at about 4:00AM and couldn’t fall back to sleep because I was thinking about this game. I have thoughts - not exactly a theory on who is Mafia, but more a general idea on how we might approach the remaining 2-3 game Days to maximize our chances of winning. This idea seems to go hand in hand with what some of you are saying already, so let’s see what you all think.
First, assumptions (I’ve done this a lot; it seems to make thinking about everything a little clearer). The following are thing that I am assuming to be true for the purposes of this analysis.
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There is at least one, but very likely two, remaining Mafia. This means that, as brewha points out, we essentially can absorb one and only one mislynch without losing the game.
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I, Queuing, and StarvingbutStrong are three of the five remaining townspeople. My thoughts on these subjects have been the subject of far too many posts already, so for the moment I’ll move on to:
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It is possible that Lakai and brewha are both town, but it is exceedingly unlikely that they are both Mafia.
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Combine #2 and #3 and you come to the conclusion that at least one, and possibly both, of Fretful and/or Kat, are Mafia as well.
Now, everything that follows is based on these assumptions alone, so the first step is to decide whether we all accept them. I believe that #1 is pretty much indisputable, yes? #4 follows logically from #2 + #3.
So we’re really talking about #2 and #3. You may want to question my assignment of Queuing or SbS as town, or my own alignment. You may also want to suggest that it is possible that Lakai and brewha are both Mafia. So first, consider these assumptions. Pick them apart. They will become important below the dotted line to follow:
If numbers 1 through 4 are correct, then essentially the lynch choices boil down to two pairs (Lakai/brewha and Fretful/Kat). We then have one of two options. One high risk but with a bigger reward if we choose well today; one is lower risk but lower reward. I present them below:
Option A: Lynch someone from the pair of Lakai and brewha. This is the high risk option.
If the person we lynch under this plan is Mafia, and all my assumptions hold, we will be guaranteed a win. Whichever of the pair we didn’t lynch can be assumed to be town. Tomorrow we will lynch either Kat or Fretful; if we get that one wrong, we lynch the other. Game over.
If we choose either Lakai or brewha and miss, hitting a townie, then we are going to be in a pickle. We’ll have, I think, a 2 in 3 chance of getting Mafia choosing among Kat, Fretful, and whichever of the brewha/Lakai pair we didn’t go for, then a 1 in 2 chance of finishing the job the next day, for an overall 2 in 6, or 33% chance of winning.
Option B: Lynch someone from the pair of Fretful and Kat
If the person we lynch under this plan is Mafia, we will not be guaranteed a win. There will be one remaining Mafia, three remaining candidates, and two guesses, essentially.
If the person we lynch under this plan is town, then we can very nearly be assured that the other of the Kat/Fretful pairing is Mafia, thereby assuring us a successful lynch tomorrow. That puts us at the final day choosing between brewha and Lakai.
So to sum up, our chances of winning given each of these eventualities, from best to worst:
We lynch Lakai or brewha, hit Mafia: 100%
We lynch Fretful or Kat, hit Mafia: Some number <100% but >50%
We lynch Fretful or Kat, hit town: 50%
We lynch Lakai or brewha, hit town: 33%
Thoughts?