Re: Seating Arrangement Problem
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Well, I'm pretty certain that I can't achieve fairness both in relation to the button and in relation to the other players. I figure the latter is more important, since position in relation to the button changes every hand but position in relation to the other players is fixed throughout the tournament.
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You can just high-card for the button on each SNG anyway....
If the number of players were prime, then you could assign a number to each player and step through increments:
1 2 3 4 5 6 7
1 3 5 7 2 4 6
1 4 7 3 6 2 5
and so on.
it's very easy to see that this will lead to a different 'local 3-some' each round. Since 8 is not prime, that won't quite work there. I like pococurante's suggestion of cutting/drawing lots for position each time around.
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