Appeal to Emotion
An appeal to emotion is a particularly devious sort of fallacious argument, particularly in a game of unknowns such as Mafia. "If you eliminate me, you'll lose!" is an easy example, but there are many others, played by both/all Factions in most games at some point. The nature of the game lends itself to appeals to fear or hope or trust.
This tactic is in general very effective against people who are not aware of it. As such, deploying it in a Mafia game with experienced players tends to backfire, as they'll be aware that you're trying to manipulate them, behaviour which is more typically seen coming from scum than from town.