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Round robin for 15 players (Read 1467 times)
nls(Guest)
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Round robin for 15 players
07/14/11 at 11:23:19
 
Trying to set up a round robin euchre tournament for 15 people, but I'm not sure how to do the match-ups so it's fair to everyone.  Any suggestions on a tournament schedule?
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Ian Wakeling
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Re: Round robin for 15 players
Reply #1 - 07/14/11 at 13:38:09
 
No matter how you set this up there is bound to be some unfairness.  My preference would be for giving everyone the same number of games, so I would choose to play 20 rounds where each player gets exactly 16 games and 4 byes.  This can be done so that all pairs of players partner at least once and at most twice (so two repeated partnerships per player), also that all pairs oppose at least twice and at most three times.
 

 (15 12 v  6  1) (10 11 v  3  5) (13  4 v  7 14)  ( 2  8  9)
 (11 13 v  7  2) ( 6 12 v  4  1) (14  5 v  8 15)  ( 3  9 10)
 (12 14 v  8  3) ( 7 13 v  5  2) (15  1 v  9 11)  ( 4 10  6)
 (13 15 v  9  4) ( 8 14 v  1  3) (11  2 v 10 12)  ( 5  6  7)
 (14 11 v 10  5) ( 9 15 v  2  4) (12  3 v  6 13)  ( 1  7  8)
 ( 3  1 v  7  5) (14 10 v  9 12) (11  6 v  8  2)  ( 4 13 15)
 ( 4  2 v  8  1) (15  6 v 10 13) (12  7 v  9  3)  ( 5 14 11)
 ( 5  3 v  9  2) (11  7 v  6 14) (13  8 v 10  4)  ( 1 15 12)
 ( 1  4 v 10  3) (12  8 v  7 15) (14  9 v  6  5)  ( 2 11 13)
 ( 2  5 v  6  4) (13  9 v  8 11) (15 10 v  7  1)  ( 3 12 14)
 ( 9  1 v 12 11) ( 5  4 v  6  8) ( 7  3 v 15  2)  (14 10 13)
 (10  2 v 13 12) ( 1  5 v  7  9) ( 8  4 v 11  3)  (15  6 14)
 ( 6  3 v 14 13) ( 2  1 v  8 10) ( 9  5 v 12  4)  (11  7 15)
 ( 7  4 v 15 14) ( 3  2 v  9  6) (10  1 v 13  5)  (12  8 11)
 ( 8  5 v 11 15) ( 4  3 v 10  7) ( 6  2 v 14  1)  (13  9 12)
 (15  9 v 10  6) ( 7 11 v 14  4) (12  5 v  2 13)  ( 1  3  8)
 (11 10 v  6  7) ( 8 12 v 15  5) (13  1 v  3 14)  ( 2  4  9)
 (12  6 v  7  8) ( 9 13 v 11  1) (14  2 v  4 15)  ( 3  5 10)
 (13  7 v  8  9) (10 14 v 12  2) (15  3 v  5 11)  ( 4  1  6)
 (14  8 v  9 10) ( 6 15 v 13  3) (11  4 v  1 12)  ( 5  2  7)
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Re: Round robin for 15 players
Reply #2 - 07/15/11 at 14:12:55
 
Thanks so much for the quick reply!  As it turns out, our tournament – which is happening tomorrow! – is now up to 19 players.  Any suggestions for that schedule, in a round robin format?  Thanks again!
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