Re: Mafia: The Gangland Massacre
You should have saved yourself on nights 1 and 3. I've yet to see a more optimal strategy than the one that gets as close to the game theoretic optimum as possible (given the restrictions on how often you can save yourself). For those who are interested, when there are no restrictions on how often the doctor can save themselves, I think the optimal strategy is this:
This guarantees one townie is saved up until the point the mafia target you. The probability p needs to be chosen so that the mafia is indifferent between trying to kill you again and trying to kill someone else - because they feel their chances of being stopped are equal in each case.
You should have saved yourself on nights 1 and 3. I've yet to see a more optimal strategy than the one that gets as close to the game theoretic optimum as possible (given the restrictions on how often you can save yourself). For those who are interested, when there are no restrictions on how often the doctor can save themselves, I think the optimal strategy is this:
- Save yourself on Night 1
- Continue to save yourself each night until the mafia target you (and you save yourself)
- After this point, save yorself with probability p and a random townie with probability (1-p)
This guarantees one townie is saved up until the point the mafia target you. The probability p needs to be chosen so that the mafia is indifferent between trying to kill you again and trying to kill someone else - because they feel their chances of being stopped are equal in each case.