USCF Standard Tiebreak Systems
Used in this tournament, in order of priority.
1) Modified Median (not used for team tiebreaks)
Of
the two median tiebreaks, this is the more standard now. It evaluates the
strength of a player's opposition by summing the final scores of his or her
opponents and then discarding either the highest of these scores, the lowest,
or both, depending on the tied player's score.
For
players who tie with even scores (that is, their number of wins and losses is
the same), both high and low are discarded. For tied players with plus scores
(more win than losses), only the lowest is discarded, and for players with
minus scores only the highest is discarded.
For
tournaments of nine or more rounds, the top two scores are discarded (or the bottom
two scores, or all four, as determined by the same even/plus/minus criteria
above).
These
scores are adjusted for any unplayed games, which
count a half point each. If the player involved in the tie has any unplayed games, they count as opponents with adjusted
scores of 0.
2) Solkoff
The sum of all opponents' final scores.
3) Cumulative score
This
is easy to calculate by hand, and has been popular for that reason. To get this
value just add up the cumulative (running) score for each round. The theory is
that players who win their games in the early rounds (and therefore end up with
higher cumulative scores than players with the same score who win later rounds)
have had to face tougher opposition throughout the tournament.
4) Cumulative scores of opposition
This uses the cumulative scores calculated as above, but for the tied players' opponents rather than for the tied players themselves.