I think you missed quite a few cases and strategies. First, the mafia can claim to be the Doctor and/or Sheriff, even when they are still alive. This is HUGE. Theres also the strategy where the Doctor saves someone else specifically because they knows that people will assume they saved themselves in the first round. This frees them up to save themselves when they know they're going to be attacked. These are both potentially rational decisions, as it's actually irrational to only act in your immediate self interest rather than maximising long term expected win rate.
Thanks for your input! I definitely do agree that there are other psychological factors and do address them briefly at the end of the video like the Mafia counter-claiming roles. You're obviously correct that in a scenario where, say you're with your friends, you might know that the most logical person might be targeted on night 0 the most. However, the video itself is a more generalized take on Mafia where we don't include meta-gaming/long-term win rates. Also, while I do think that making predictions is definitely a core part of the game, it's really hard to contextualize. For example, what if the Mafia knew the doctor would think that they (the Mafia) would target a specific individual and chose to target someone more innocuous instead? The levels of thinking ends up becoming circular, so it's really hard to say what the "best" first move is, but I would still contend that the doctor saving themselves is definitely the "safest" move. Let me know your thoughts though.
@@Poly_morphia I don't think those strategies really count as psychological factors/meta-gaming, though. Because mafia is an imperfect information game, I'd bet the "mathematical best way to play" is a mixed strategy where the doctor sometimes heals themselves, sometimes doesn't, and the mafia sometimes counter-claims sheriff, and sometimes doesn't. The analogy here would be to something like poker, where game-theory optimal (GTO) play requires you to randomize your strategy in certain positions. As far as I know, the game of mafia hasn't been "solved" yet (at least, not with this ruleset), so can't say for sure, but I doubt the approach presented in this video is mathematically optimal. Admittedly, it's still probably better than what most people do though
Great video! I grew up playing with no sheriff and (usually) only one mafioso and this version is definitely a lot more strategic and a lot less random voting
this is a really nice video! I'd say maybe make the background music a little quieter next time. I can see this channel doing really great, this was a nicely edited and scripted video
I think you missed quite a few cases and strategies. First, the mafia can claim to be the Doctor and/or Sheriff, even when they are still alive. This is HUGE. Theres also the strategy where the Doctor saves someone else specifically because they knows that people will assume they saved themselves in the first round. This frees them up to save themselves when they know they're going to be attacked. These are both potentially rational decisions, as it's actually irrational to only act in your immediate self interest rather than maximising long term expected win rate.
Thanks for your input! I definitely do agree that there are other psychological factors and do address them briefly at the end of the video like the Mafia counter-claiming roles. You're obviously correct that in a scenario where, say you're with your friends, you might know that the most logical person might be targeted on night 0 the most. However, the video itself is a more generalized take on Mafia where we don't include meta-gaming/long-term win rates.
Also, while I do think that making predictions is definitely a core part of the game, it's really hard to contextualize. For example, what if the Mafia knew the doctor would think that they (the Mafia) would target a specific individual and chose to target someone more innocuous instead? The levels of thinking ends up becoming circular, so it's really hard to say what the "best" first move is, but I would still contend that the doctor saving themselves is definitely the "safest" move. Let me know your thoughts though.
@@Poly_morphia I don't think those strategies really count as psychological factors/meta-gaming, though. Because mafia is an imperfect information game, I'd bet the "mathematical best way to play" is a mixed strategy where the doctor sometimes heals themselves, sometimes doesn't, and the mafia sometimes counter-claims sheriff, and sometimes doesn't. The analogy here would be to something like poker, where game-theory optimal (GTO) play requires you to randomize your strategy in certain positions.
As far as I know, the game of mafia hasn't been "solved" yet (at least, not with this ruleset), so can't say for sure, but I doubt the approach presented in this video is mathematically optimal. Admittedly, it's still probably better than what most people do though
Great video!
I grew up playing with no sheriff and (usually) only one mafioso and this version is definitely a lot more strategic and a lot less random voting
this is a really nice video! I'd say maybe make the background music a little quieter next time.
I can see this channel doing really great, this was a nicely edited and scripted video
Will do, thanks so much for your feedback!
1:00 I think you meant, 2-3 townsperson per mafia
You are very correct, did not know how that slipped through
massive brain moment if i do say so myself