Imagine you are in the following situation:
You are Judge. There are three other players:
- Godfather
- Serial Killer
- Executioner who has already won and is not night immune
You have 1 court call left.
The day just ended. You now have night in order to convince the Serial Killer + Godfather to not kill you. What is the best strategy for achieving that goal?
I found a pretty nice solution to the problem using game theory that almost guarantees a win, although I am curious as to other solutions people can come up with first.