You want a good serial killer game? then you have to go the route of Friday the 13th the game (only not shitty) basically you are one of the potential victims. The game is all about figuring out who the killer is, what his weakness is, and where he's hiding out before he kills you. It would always be random when you encounter him but the more of the other memebers of your group that are still alive the less likely he'll come after you every five minutes. this will give you a reason to help them out if they are being attacked and also make you decided if its better to go after the next lead that will help you take down the killer or to protect your friends.
Encounters against the killer would be possible to escape from (though should get progressivley harder) but the killer himself is invincible until you discover how to beat him and where he's hiding (both of which can only be discovered once you know who he is)
Encounters against the killer would be possible to escape from (though should get progressivley harder) but the killer himself is invincible until you discover how to beat him and where he's hiding (both of which can only be discovered once you know who he is)