Looking on it, Psi being cop could explain some of his responses. Cops can only investigate at night. Also with that role, I could see how this day would not matter seeing that he could find what he was looking for at night. I still wouldn't take my suspicion off of him though. The cop is on the towns side, and so far all he has done is confuse the town.
To be honest, I don't think the cop revealing himself at this point is a complete bad thing, seeing as we are already in this mess. If the cop reveals himself then there are two scenarios we can play by from there- Lynch Psi or No Lynch (Sorry I know it's such a drastic suggestion but hear me out).
If Psi were lynched and actually turned out to be the cop, then the person who declared them self as cop could be confirmed as mafia; therefore, we would have lost a cop but determined a mafia member as well. The only thing is, we would lose another member by the mafia during the night. If we assume there are 2 mafia and 8 townies (including survivor), then the game would be down to 1 mafia 6 townies by the end of the 2nd day. If there are 3 or more mafia and 7 townies, then it would be down to 2 mafia and 5 townies. Obviously if there were 3 mafia, then overall this would just be a bad idea. I'm not sure what the odds are though that there are 2 mafia. What do you guys think?
The second scenario would be to have a No Lynch. There are 3 possible outcomes from this. The mafia would then be left to either kill the proposed cop,Psi, or a random townie.
1. If they kill Psi and he turned out to be cop, then we could once again conclude that the proposed cop was mafia. By the end of the 2nd day it would then be down to 1M & 7T (If there are 2 mafia); and 2M & 6T (If there are 3 mafia).
2. If the mafia chose to kill the declared cop, and he turned out to be cop, then we could conclude that Psi is mafia.
3. The mafia could choose to kill a random townie, which would leave us with a cop.
The mafia could also choose to kill one of their own, which wouldn't be much benefit. I find the No Lynch-Cop Reveal scenario to be the most practical. It basically leaves the mafia in a pickle in either outcome. The thing is, it woulf take the compliance of the cop to reveal him/her self. I would like to here Everyone's opinion on this if I may. Also, if we did decide to go by one of these routs, I still think we should use the full amount of this day and get as much out of it as we can, including attempts to track down mafia. Since it's day one, mafia hasn't gotten a chance to speak with each other yet so I think D1 is probably towns most important day.