The game has started, Vitek smells.

Welcome to GOG Mafia #71!

Please don't post here if you are not part of the game. If you are part of the game you will have received a PM with your role.
Signups are closed for this game, but if you are interested in what you see please bookmark the admin thread and look out for new games starting.
Exception: anyone, including dead players and non-players, may make a bump post if a player asks for it here or in the admin thread. You may also use an alt-user to make a bump post. The bump post should contain no game-relevant information.

I am the moderator, please PM me if you have any questions or concerns about the game.

Player list:
A) Micro - Snacked D2 - was an delicious tunabeef
1) trentonlf - Lunched D1 - was an delicious tunabeef
L) Lifthrasil - Lunched D4 - was an delicious tunabeef
1) bucktoothgamer - Went out for a smoke and never came back N2 - was an delicious tunabeef
2) ZFR - Shuffled off this mortal coil N5 - was an delicious tunabeef
F) korotan - Disappeared N1 - was an delicious tunabeef
#) JaiSpohpere - Vanished in a puff of logic N3 - was an delicious tunabeef
slot Z) GymHenson - Moved on to better things N4 - was an delicious tunabeef
*&%) not dedoporno
42) joppo - Lunched D3 - was the horrible banan
WAI) Pookina
Nmillar) YES!

This is a vanilla/mountainous game. There are no power roles and the only night action is the mafia's factional kill. Flavour is not guaranteed, accessories sold separately.

Votes must be bolded to count, preferably on a separate line and must use the word vote, like this:

Vote JoeSapphire

When a player has a majority of votes for them, they are eliminated, their role revealed and the day ends. A deadline may be set for the day, if the deadline is reached without a majority vote reached the day will end without an elimination.
During the night, the mafia will decide on a player to kill and their death will be revealed at daybreak.
____

Sample PM:

You are delicious tunabeef. Tuna is the best beefs.
Powers: Your only power is your vote, so use it!
Win condition: You win when all things un-beef are eliminated.

Rules, stolen from Lifthrasil in time honoured fashion:

0. catte is the moderator for this game. If you have any issues, contact him via PM.

1. Cryptoclaiming is forbidden.
(In short, cryptoclaiming is having everyone fullclaim in some sort of, preferably nearly unbreakable, code, which makes it all but impossible for the Mafia team to win.)
Unlikely to be a problem in this particular game, but the rule stands.

2. Betting among players is strictly forbidden unless those players are nmillar and catte.

3. Real Life issues and situations should and will always take priority over what happens in the game. If a player presents a real life issue as a reason on why they need a bit more time or are temporarily unavailable to partake normally in the game that reason should be accepted and respected by everyone else (including the mod). Everyone should always treat real life problems/situations in a gentlemanly manner and never try to make accusations or gain leverage in the game based on that. If these issues become too overwhelming the incapacitated player should inform their mod and ask for a replacement as soon as possible or if they are unable to do so the mod should take steps in finding a replacement for them. Everyone should be playing the game for fun and treat each other with the necessary respect. Therefore we shall always assume that every real life reason for inefficient participation in the game is 100% real and has to be taken as such. We shall also count on everyone playing the game to show proper respect and sportsmanship to their fellow players and the mod by never abusing this "free pass". If someone is caught taking advantage of everyone's good will they will be immediately allowed to find another place to play forum mafia.

4. This is a game of lying. Players are expected to lie. No statement or promise a player makes within the game has any force outside the game. As an example, a bet offered in a game is not something you can collect if you win (see also Rule 2). An exception to this is Real Life issues, as per Rule 3.
With that in mind, you might want to avoid sensitive topics, ones which would benefit from having all the participants telling the truth, till after the game is finished.

5. Have fun and enjoy the game. While shouting at each other is expected in a game of Mafia, please remain civil to your fellow players.

6. Please bold any questions you have for me, so it's easier for me to see them. You may use bold for other reasons (like stressing a point) but please avoid doing so excessively.

7. It goes without saying that discussing this game outside this thread is prohibited.

8. Do not edit your posts for any reason. Remember there is a forum feature that automatically merges posts made within 10 minutes. There is also a forum bug which prevents your post from appearing sometimes when it should appear on a new page. Making a second post in this case after less than 10 minutes can cause your post to be merged and appear edited.

9. If you die, stop posting in this thread. A single "Oh, boobs" post is allowed and encouraged. Your "Oh, boobs" post should not contain any game-relevant information.

10. You are expected to make a post at least once every 48 hours. If you know you'll be away for longer, please let me know in advance. Posting more frequently makes for a more interesting game. So try to participate as much as you can.

11. Please do not directly quote your role PM or any other communication with me. You may post your Name and Role, but anything else has to be paraphrased. Note that simply changing "you" to "I" is not considered paraphrasing. When in doubt, ask me first.

12. You may discuss the (paraphrased) flavour of your role PMs, or any technical details that are related to gameplay, but you may not discuss technical minutae that are not gameplay related. For example asking someone if their PM mentions them allowing to target themselves is OK since it's gameplay related. However asking for the exact spelling of their role, or the timestamp at which PM was received is not.

13. If you do something intentionally in a way that goes against the spirit of the game, you will be penalized. When in doubt, ask me first.

14. Absolutely no Phil Collins in any context.

15. Breaking rules, depending on the severity of the infraction, can get you modkilled at my discretion. Getting modkilled can be hazardous to your health and usually means you lose regardless of whether your team wins or loses. It's also bad in general. Please don't get modkilled.

16. Once a majority votes for a player, that player gets lunched. No amount of unvoting is going to help them.

17. If no majority vote is achieved before Day ends, then no lunch takes place.

22. You have to read the rules before playing.

73. Even this one.

LAMIST!

Yes!

Hi. I am myself.

12 players. So at one time we should do a no-lynch.

Bonus task: Prove that, as far as Expected Value is concerned, for any even number of players it doesn't matter at which stage of the game the No-Lynch takes place.

What's the logic behind this?

I won't be doing a lot of math so I'll expect others to do it for me most of the time. Therefore I'm also interested in the explanation here.

is it to do with triangular numbers? I bet it's to do with triangular numbers

The logic behind that with an even number of players at one stage we should do a no-lynch?
With m mafia players and n total, the probability of lynching mafia is m/n
If n is even, then doing a no-lynch increases the probability of lynching mafia to m/(n-1), while the number of players that Mafia has to NK in order to win remains same.

The bonus question is to prove that it doesn't matter for Town which Day the NL takes place (so long as it's done before the game is over). So for example, for a 10 Town vs 2 Mafia, it doesn't matter whether the NL happens at D1 or D2 or D3...

Well, if we NL now ZFR will only have played the game for like a day...

If it actually doesn't matter isn't no-lynch done sooner rather than later?

Change this.

Never played an all-vanilla Mafia game, so I don't know how it's done. Mathematically it doesn't matter. In practice... I don't know.

There was supposed to be a "better" somewhere in there. 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.