file Optimal seatings changes 3R+F

30 Apr 2015 07:19 #70777 by Ankha
Replied by Ankha on topic Re: Optimal seatings changes
We used the new seatings to our last tournament (17 players), and many players had the feeling the met the same players often.

I gave a look to the seating used, and I can confirm that this feeling was true. Among all the possible seatings that are "optimal" (ie. with the lowest vp/transfers deviation), there are variations about how many times player X met player Y.

For instance, the current (non-optimal) seating has 13 pairs of players that meet twice, and 58 pairs of players that meet once during the 3 rounds.

The seating I took among the list of optimal seatings was: 9 14 10 15 7 | 5 12 4 2 | 3 13 17 6 | 16 1 11 8 / 13 8 6 11 16 | 15 5 14 3 | 7 4 1 12 | 2 17 9 10

It contains 1 pair of players that meet thrice (14 and 15), 14 pairs twice, 53 pairs once.

But there are other optimal seatings that seem "better": 17 pairs twice, 50 pairs once, or 15 pairs twice, 54 pairs once.

I think we should value more the seatings with the most "meet once" pairs.

But what if it increases the number of players that meet thrice?

For instance, the seating with the most "meet once" pairs is: 63 once, 6 twice, 3 thrice

The seating with the most "meet once" pairs AND no "meet thrice" pairs is: 60 once, 12 twice

Which seating is "better"?

Prince of Paris, France
Ratings Coordinator, Rules Director

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30 Apr 2015 07:37 #70778 by Pascal Bertrand
1. No pair of players repeat their predator-prey relationship.
2. No pair of players share a table through all three rounds, when possible.
3. Available VPs are equitably distributed.
4. No pair of players share a table more often than necessary.
5. A player doesn't sit in the fifth seat more than once.
6. No pair of players repeat the same relative position[*], when possible.
7. A player doesn't play in the same seat position, if possible.
8. Starting transfers are equitably distributed. [NOAL]
9. No pair of players repeat the same relative position group[^], when possible.

How can two results be equally optimal if they don't have the same result for criteria 2 and 4?

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30 Apr 2015 07:41 #70779 by BenPeal

thrice


Do not use this word.

I think we should value more the seatings with the most "meet once" pairs.

But what if it increases the number of players that meet thrice?


Playing against the same person three times in the preliminary rounds of a tournament seems terrible. One might say suboptimal.

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01 May 2015 08:18 #70799 by alf
Replied by alf on topic Re: Optimal seatings changes

thrice

Do not use this word.

Isn't this the plural of throuse?;)

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01 May 2015 14:12 #70806 by Squidalot

thrice


Do not use this word.

I think we should value more the seatings with the most "meet once" pairs.

But what if it increases the number of players that meet thrice?


Playing against the same person three times in the preliminary rounds of a tournament seems terrible. One might say suboptimal.


Yes definitely in players meeting three times more than multi-pairs of players

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01 May 2015 15:56 #70808 by Ankha
Replied by Ankha on topic Re: Optimal seatings changes
I'm redoing the computations because rule 2 had been taken out of the equation.

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Ratings Coordinator, Rules Director

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