Hi All
I'm starting to play trying to model "optimal" formats for Swiss Team type events. (Essentially, I'm interested in the trade off between the total number of rounds versus the number of boards per round) I was curious if anyone had ever seen a Swiss format with variable round lengths?
Let's assume the following:
At the start of a Swiss Teams event, the matching will typically be quite random. You'll have lots of mismatches with relatively strong teams facing relatively weak teams. As the event progresses, the matchings are going to get a lot closer. Teams will be facing other teams oif (relatively) equal strength.
An argument can be made that the length of a match should be proportional to the skill difference between the two teams. I'll need to run some numbers, but I'd be curious if anyone has seen anything similar. (I know that a number of KOs are structured in this same manner, but I haven';t seen it in a Swiss event)
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Modification to Swiss teams format
#2
Posted 2007-March-29, 06:02
The closest I've seen is the more common format of a Swiss qualifier for a KO of the top few teams, or a Swiss qualifier for a round robin of the top 8 treams. These RR matches are typically longer than the Swiss matches that preceded them.
#3
Posted 2007-March-29, 06:22
I haven't seen this kind of idea although I can see the merit of it. For an improvement on Swiss, have a look here (maybe you already know it but now there is a real mathematical paper on its way to being published).
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#4
Posted 2007-April-02, 11:43
Gerben forwarded the following to me today (I find the results quite interesting, though we really need to do a statistical significance test)
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100000 Swiss team tournaments of 9 rounds, team 1 = strongest team, team 2 = next strongest, etc. (from Gaussian distribution). Calculated AVERAGE TEAM NUMBER of the winner.
8-board rounds: 2.86
increasing round length (4 ... 12): 2.69
decreasing round length (12 ... 4): 3.10
Sounds like first-order proof that longer matches later on is a good idea.
Finally I tried 16 rounds (8 board less!) of 4 boards and got: 3.93
I didnt use a VP table yet but instead a match result was IMPs/board * sqrt(boards) , the formula on which the VP table is based.
8-board rounds: 2.86
increasing round length (4 ... 12): 2.69
decreasing round length (12 ... 4): 3.10
Sounds like first-order proof that longer matches later on is a good idea.
Finally I tried 16 rounds (8 board less!) of 4 boards and got: 3.93
I didnt use a VP table yet but instead a match result was IMPs/board * sqrt(boards) , the formula on which the VP table is based.
Alderaan delenda est
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