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dedoporno: My point is that, if we do want to no-lynch strategically, we probably want to do it when the chances of mislynching are higher.
Well, that's the point. Probability-wise, it doesn't matter. Mathematical chances are same.
Votecount the First

Currently not voting:
Everyone

Deadline: 19:00 UTC 28/11/2020
Post edited November 24, 2020 by my name is sadde catte
oh **** I'm still wearing last season's fashion I look like a total goon
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JoeSapphire: oh **** I'm still wearing last season's fashion I look like a total goon
A... goon?
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my name is sadde catte: The game has started, ZFR sucks.
To quote my high school physics teacher: What's this nonsense?
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JoeSapphire: oh **** I'm still wearing last season's fashion I look like a total goon
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dedoporno: A... goon?
are you mafia?
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JoeSapphire: are you mafia?
Since this is a very simplified version of the game I'll respond in a very simple manner.

Bitch, I might be.
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my name is sadde catte: Something seems amiss, there's... negative energy or perhaps a bad smell. Everything was pleasant until a moment ago, but now you feel sick.
Joe? That was your doing, wasn't it?
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Pookina: Hi. I am myself.
Nice to meet you, myself. I am Joppo

You look remarkably alike to a friend called Pooka. Is he a relative, by any chance?
Eek, a dragon!
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joppo: You look remarkably alike to a friend called Pooka. Is he a relative, by any chance?
Yes. I am him. Close relatives.

Unsure how to read ZFR's alignment from his proposed no-lynch solution; sounds like something he'd come up with as Town or Mafia, so I'll reserve my judgement. The rest of y'all are GRASS ON THE GROUND.
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Pookina: Unsure how to read ZFR's alignment from his proposed no-lynch solution;
It's not a "solution".

Or rather it is a solution in the sense that anything is a solution if you find the right problem it solves.
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Pookina: Unsure how to read ZFR's alignment from his proposed no-lynch solution;
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ZFR: It's not a "solution".

Or rather it is a solution in the sense that anything is a solution if you find the right problem it solves.
I don't understand how an odd or even number of players makes a difference, as a no lynch would still result in m/(n-1) regardless of the number of players.

This also fails to take other factors into account such as interactions between players, voting patterns, etc.
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ZFR: It's not a "solution".

Or rather it is a solution in the sense that anything is a solution if you find the right problem it solves.
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nmillar: I don't understand how an odd or even number of players makes a difference, as a no lynch would still result in m/(n-1) regardless of the number of players.
In case of odd number of players players, an NL+NK brings the Mafia 1 step closer to victory as it reduces the number of players they have to NK.

Consider 4T vs 1M (odd number of players).
The Mafioso has to NK 2 players to win. If they decide on No-lynching, then Mafioso only needs to NK once.

Now consider 5T vs 1M (even)
Mafioso has to NK 2 players to win. If they decide to NL one Night, the Mafioso still has to NK twice.

For the most basic situation consider LYLO (odd), vs MYLO(even). In this case the Mafiosi have to NK once to win. In case of odd (LYLO), an NL reduces this to 0 and it's game over. In case of MYLO, an NL means they still have 1 Day.
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nmillar: I don't understand how an odd or even number of players makes a difference, as a no lynch would still result in m/(n-1) regardless of the number of players.
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ZFR: In case of odd number of players players, an NL+NK brings the Mafia 1 step closer to victory as it reduces the number of players they have to NK.

Consider 4T vs 1M (odd number of players).
The Mafioso has to NK 2 players to win. If they decide on No-lynching, then Mafioso only needs to NK once.

Now consider 5T vs 1M (even)
Mafioso has to NK 2 players to win. If they decide to NL one Night, the Mafioso still has to NK twice.

For the most basic situation consider LYLO (odd), vs MYLO(even). In this case the Mafiosi have to NK once to win. In case of odd (LYLO), an NL reduces this to 0 and it's game over. In case of MYLO, an NL means they still have 1 Day.
Okay, that does make more sense now. I'm not fully on board due to the number of other variables, and I think the assumption here is that every lynch is a mislynch?

Why not go all in with the mathematical theory?

https://arxiv.org/abs/1009.1031
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nmillar: and I think the assumption here is that every lynch is a mislynch?
For a 1 Mafioso game, yes. For more the assumption is that there are less Mafia-lynches than the number of Mafia players, since we're calculating the probability that Mafia wins.