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Shirts is typically a three player game where there is an "attribute" assigned to each player. The attribute is arbitrary and typically used by the game Mod in the intro text.
In a three player game the roles are as follows.
Each player knows their own attribute. This might be the color of their hat.
One player is given the role of a sane witness. This player player knows the killers attribute (i.e. the killer wore a green hat)
One player is given the role of a delusional witness. This player thinks he knows the killers attribute, but in fact knows the sane witnesses' attribute.
The third is the mafia, and knows his/her own attribute.
Optimally this is a 2 phase game, phase one being the claiming, phase two being the swing vote.
Like a Dethy game, claiming is key. A reasonably played game will result in one witness and the mafia trying to swing the third players vote.
A first vote by the mafia is poor play as it will allow one of the witnesses to vindicate themselves by not hammering the vote.
Given the game starts out in a Lyol (Lynch or lose), an informed vote is crucial. (see strategy)