Renaissance Knights Tiebreak Rules

We will use this ordered list of standard USCF tiebreak systems for non cash awards

(1)  MODIFIED MEDIAN.

First, compute the adjusted score of each opponent played by counting each unplayed game (bye, forfeit, round not played after a withdrawal) as 1/2 a point. If the player involved in the tie has any unplayed games (byes, forfeits, unplayed rounds), those games count as opponents with an adjusted score of zero. Next, discard ineligible adjusted scores as specified. Players with plus scores have the lowest opponent's adjusted score dropped. Players with even scores have the highest and lowest opponent's adjusted scores dropped. Players with minus scores have the highest opponent's adjusted score dropped. Then add the remaining adjusted scores to determine the player's tiebreak points.

 (2)  SOLKOFF.

Add the adjusted scores of all opponents (same as Modified Median except no scores discarded).

(3)  CUMULATIVE.

Add the scores after each round; subtract one point for each one-point bye or forfeit win.  Example:  A player has a bye in round 1, wins in 2, loses in 3, draws in 4, wins in 5.  The cumulative tie break score is 1 + 2 + 2 + 2 1/2 + 3 1/2 -1 = 10.

(4)  OPPONENTS CUMULATIVE

(5)  SONNENBORN-BERGER.

Add the adjusted scores of each opponent defeated, plus half the adjusted scores of each opponent drawn