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Sparrowhawk

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Canada CST
Apr 1999 time: 23:20
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If you start with an uneven number, with one death starting the game, you are left with an even number, then every day after that you have one kill by the Villagers making for an odd number and then one kill by the Mafia, making it even again. By this system if and when it gets down to 3 villagers It is the Mafia's turn to kill making it two, at which point if one of the villagers is mafia and one is a villager, the vote will of course be tied resulting in a tiedbreaker as to who wins the game. (not a desirable conclusion to a long game at that point).
If you start with an even number however the opposite is true...
With one death starting the game, you are left with an odd number, then every day after that you have one kill by the Villagers making for an even number and then one kill by the Mafia, making it odd again. By this system if and when it gets down to 3 villagers It is the Villagers turn and the vote cannot be tied, so one of the villagers dies (maybe the mafia), if it is not the Mafia, you have an even number left, one of whom is the Mafia and it is their turn to kill (with no doubt as to who they are going to kill).
This results in a much better finish as the conclusion does not have to be decided by a tiebreaker.
* Sparrowhawk hopes that the above makes sense 
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