Tie breaks
Sum of progressive scores
In each round, sum their previous scores (i.e. 1 + 2 + 3 + ... = Score of round 1 + (Score of round 1 + Score of round 2) + ...). Higher number somewhat implies that you’ve been facing harder opposition. Also super easy to calculate! Rewards your own efforts and rewards doing better at the beginning.
Koya
(for Round Robins because you have to have played everyone). Compares how you did against the top 50%. Comparing how you did against other players.
Team events
compare highest game points or highest match points (In the tie break example slide 6, 2 = win, 1 = draw, 0 = loss for match points). (Game points = sum of points for all members in a team)
Board count
Add the number of the board in which wins happen. Lowest score wins. Typically used for team events. Rewards wins on top boards (e.g. board 1) compared to lower boards (board 8)
Board elimination
Basically board count, but eliminate the bottom board (e.g. board 8). If drawn, repeat.
Bucholtz (Sum of opponents scores)
Rewards playing against better players. Entirely depends on other players, so isn’t amazing. Variation: Cut 1 - Ignore the lowest score Variation: Median Bucholtz - Ignore the highest and lowest score
Sonneborne-Berger
Donneborne-Berger (Individual)
Take the product of how you’ve done (0, ½ or 1) against your opponent’s scores and then total all of those values. Reflects partly your success against other players and compares that with how your opponents performed.
Sonneborne-Berger (Team events) - Basically regular ol’ Sonneborne-Berger and either specifically on game points or match points.
Average rating
Calculate the average of opponent ratings. Unrated opponents can be given a flat rating (e.g. 1000). Rewards playing against harder opponents
Tournament performance rating
Find the percentage of games you won (ignoring unrated games). Look it up in the lookup table (it’s effectively a normal curve +- 800). Add it to the average rating of their opponents to get your TPR (Tournament performance rating)
Rating Prizes
Give a prize to the lowest rated player in the group
Play-off!
- 4 standard games, 4 rapidplay games, 4 blitz games
- Armageddon - white had more time than black (e.g. 6min vs 5min. Commonly, 5m vs 4min and after 60 moves then +3 second increments). If you draw as black, you win.