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Author Topic: IsoDom 5: Swiss Tiebreaking  (Read 2090 times)

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Kirian

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IsoDom 5: Swiss Tiebreaking
« on: August 01, 2012, 04:06:46 pm »
+1

So there's been confusion about how dropouts and byes will affect tiebreaking for purposes of determining the Top 8 in each bracket.  At its base, Challonge uses the Median-Buchholz system, which takes the scores of your opponents at the end of the tournament, drops the highest and lowest numbers, then adds them together.  It's a fine system for many things but not perfect, mainly because it doesn't have rules for byes and dropouts.

I'm going to take a page from FIDE and use their handling system with some minor changes.  This applies only to scores used to calculate tiebreakers, and not to actual tournament scores.

(A) A player who received a bye will be considered to have played against a virtual opponent who had an equal score at time of play, and who drew all subsequent matches.  Thus, if you lost your first match and received a bye in round two, your virtual opponent would have a score of 0 + (0.5 x 3) = 1.5.  As a real example, JFrisch (Bracket A) had a bye in Round 1.  He will be considered to have played against an opponent with score 0 + (0.5 x 4) = 2.

(B) A player whose tie-break score depended on a forfeit/dropout will be considered to have played against a virtual opponent with a score of [actual score + (number of forfeits x 0.5)].  Thus, if your second round opponent dropped out after round three with a score of 0-3, thus forfeiting rounds 3 and 4, the virtual opponent will have a score of 0 + (0.5 x 2) = 1.  As a real example, Obi Wan Bonogi (Bracket A) faced tlloyd in Round 1, and that match was forfeited by tlloyd.  OWB is considered to have played a virtual opponent with a score of (0.5 x 5) = 2.5.  (The first forfeited match counts as a draw for tiebreaker purposes.)  See below for scores of other players who have dropped already.

EDIT: Exception:  all unplayed matches in Round 5 will be considered draws, due to the dropout rules.

Any scores calculated like this are eligible to be dropped if they are the lowest score (mathematically, they can't be the highest score).

----

If further tiebreakers are necessary, they'll go in this order:

(2) Unmodified sum of opponent's scores (Solkoff):  Same as above, but without dropping highest and lowest.
(3) Result between players:  A two-player tie is broken if the tied players played each other, and one of them won; the winner wins the tie.  In a multiplayer tie, the tie can only be broken if each player played all the others.
(4) Cumulative score:  Take your score at each round; add those scores together.  If you went W-L-W-W-L, your record at each round was 1, 1, 2, 3, 3; your cumulative score is 10.
(5) If that still doesn't break a tie, a 3-game playoff match will determine the winner.

Current virtual scores:

Bracket A:

tlloyd:  2.5
Fabian:  1.5
ddubois:  1.5

JFrisch's Bye:  2.0

Bracket B:

heron:  2.0
kulap:  1.5
methods of rationality:  1.5

zxcvbn2's Bye:  1.0

Bracket C:

nightdance:  2.5
ArjanB:  2.5
b33: 2.0
loes u:  2.0
Stringer Bell:  1.0

(ugasoft and bozzball's forfeits were against others who later dropped, and thus don't matter).

Farb's Bye:  1.0
« Last Edit: August 01, 2012, 04:13:24 pm by Kirian »
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Re: IsoDom 5: Swiss Tiebreaking
« Reply #1 on: August 01, 2012, 07:44:51 pm »
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A quick note:  This also means I'll need a bit of time at the end of the round to compute the full tiebreakers, since they will matter for seeding.
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