Like poker (have previously played for a living prior to black friday). If you play just based on the easily tangible math you will lose. You need to look for behavioral clues and apply those or the scum will use an exploitive strategy to win. For example when playing poker if I have a 90% chance of winning based on pure math but my opponent just went all in and he has suddenly developed a genuine tremble in his hands and his voice cracks, then I will lose all my money by calling him. His behavioral clues let me know that the tangible math of 90% is wrong and that my true math is somewhere close to zero%, though it could be considerably higher given his ability to actually know what a monster hand looks like for example.
There was a thing I used to do some poker sessions to make sure that I was actually looking at behavioral tells. I would either cover the cards on my computer screen with a sticky note to prevent seeing my own cards or in live play refuse to look at my hand though pretending to. Those were usually winning sessions by the way and I learned from them.
We aren't machines. Exploitive play is going to give you the highest ROI in games where you are not out of your depth.
I have played against people who have attempted to use pure math. They lose. The game is too complicated for that. In mafia the game is even more abstract then poker. Using pure math is a losing strategy and exploitive play is ideal.
I still use math when I play poker don't get me wrong but I apply it to abstract things. Like my opponent typically raises full pot in this spot when he has a top pair hand to protect his top pair. My math will determine that a scare card will most likely come next and I can bluff him off his hand so I will likely call in that spot.
I am not saying don't use math, but do your best to apply it to more abstract things. I think you may have some unique insight into psychology if your profile is honest,so you should have an advantage of k owing peoples psychology. Don't throw away that advantage by not playing in an exploitive way.