Annex to the FIDE Tournament Regulations regarding tiebreaks

1. Handling of unplayed games

For tie-break purposes, the result shall be counted as a draw against the player himself. This has no effect on the Sum of Progressive Score or Koya System. In such systems only the result counts.

List of commonly used Tiebreak Systems

In all Systems the players shall be ranked in descending order of the respective system. Within the following list there is not intended to be any indication of an order of preference.

2. Tiebreak Rules using the Player's own results

(a) Sum of Progressive Scores
After each round a player has a certain tournament score. These scores are added to determine the total Sum of Progressive Score.

(a1) Sum of Progressive Score Cuts
The Sum of Progressive Score reduced by the tournament score of one or more rounds, starting with the first round.

(b) The Koya System for Round Robin Tournaments
This is the number of points achieved against all opponents who have achieved 50 % or more.

(b1) The Koya System extended
The Koya System may be extended step by step to include score groups with less than 50 %, or reduced step by step to exclude players who scored 50% and then higher scores.

(d) The greater number of games played with the black pieces.

(e) Direct Encounter
If all the tied players have met each other, then the sum of points from these encounters is used.

(f) Number of games won

(g) The greater number of games played with the black pieces.

3. Tiebreak Rules using a team's own results

(a) Match points in Team Competitions decided by game points, for example:
2 points for a won match where a team has scored more points than the opposing team.
1 point for a drawn match
0 points for a lost match

(b) Game points in Team Competitions decided by match points.
The tie is broken by determining the total number of points scored.

(d) Direct Encounter
If all the tied teams have met each other, then the sum of points from these encounters is used.

4. Tiebreak Rules using the Results of Opponents

Note, these scores are determined in each case after the application of the rule concerning unplayed games.

(a) The Buchholz System
The Buchholz System is the sum of the score of each of the opponents of a player
(a1) The Median Buchholz is the Buchholz reduced by the highest and the lowest score of the opponents.
(a2) The Median Buchholz 2 is the Buchholz Score reduced by the two highest and the two lowest scores of the opponents
(a3) The Buchholz Cut 1 is the Buchholz Score reduced by the lowest score of the opponents
(a4) The Buchholz Cut 2 is the Buchholz Score reduced by the two lowest scores of the opponents
(a5) The Sum of Buchholz is the sum of the Buchholz Scores of the opponents

(b) The Sonneborn-Berger System
(b1) Sonneborn-Berger for Individual Tournaments is the sum of the scores of the opponents a player has defeated and half the scores of the players he has drawn with.
(b2) Sonneborn-Berger for Team Tournaments is the score made by each opposing team multiplied by the score made against that team. Then add all these sums together.

5. Tiebreak Rules using Ratings

Note, the rating used is after the application of the rule concerning unplayed games.
(a) The Average Rating of Opponents is the sum of the ratings of the opponents of a player divided by the number of rounds.
(b) The average Rating Cut is the Average Rating of Opponents reduced by one or more of the ratings of the opponents, started from the lowest rated opponent.
(c)Tournament Performance Ratings
The TPR is determined by taking the average rating of the opponents, determining the percentage score and then using B.02.10.1 of the Rating Regulations.
Where a player has elected not to play more than two games in a tournament, whether as a half point bye or due to ill-health, his TPR shall be considered lower than that of any player who has completed the schedule.
(c1) TPR using the 350 point rule.

6. Playoff.

(a) Adequate time must be set aside for a conclusion to be reached.

(b) The pairings system and rate of play must be determined in advance of the start of the event.

(d) It is recommended that playoffs only be arranged for disposition of the first place, a championship or qualifying places.

(e) Where subsidiary places are also decided during the tie, each player shall be allotted his score according to his result in the playoff. For example: Three players tie. Number 1 wins, number 2 comes second and number 3 third. Number 2 receives second prize.

(f) Where two players are tied after the first place is decided, they shall split any prize money to which they are entitled. For example, four players tie. A knockout is arranged. Players 3 and 4 knocked out in the semi-final share the 3rd and 4th prize equally.

(g) Where time is limited before a closing ceremony, games between players potentially involved in such ties in the last round may be scheduled to commence earlier than other games in the tournament.

(h) If there is a playoff these will commence after a break of at least 30 minutes after the conclusion of the last main game involving players in the play off. Where there are further stages, there will be a break of at least 10 minutes between each stage.

(i) Each game shall be controlled by an arbiter. If there is a dispute, this will be referred to a committee of three further arbiters. Their decision shall be final.

(j) Colours shall be determined by lot in all cases below, other than those determined by the Berger tables.

(k) The following is an example where time for playoff is somewhat limited.

1. If two people tie for first:
(a) They play a two game mini-match at the rate of all the moves in 3 minutes add-on 5 seconds for each move from the first. If this match is tied:
(b) They play a one game Armageddon (sudden death), White has 5 minutes and Black four, in the case of a draw Black wins first prize.

2. If three people tie for first:
(a) They play a one game round robin at the rate as in 1 (a). If all three players again tie:
(b) They play a one game Armageddon round robin as in 1 (b). If they again tie:
(c) The winner shall be the person who received the point in fewest moves.
If two people eliminate the third player, they play as in 1(b).
Pairing number 1 shall be the player with the highest tiebreak (HT) as chosen from 2a-c.
Pairing number 3 shall be the player with the second highest tiebreak. Alternative: the pairing numbers shall be chosen by lot.

3. If four players tie for first: they play a knockout.
The pairings shall be 1v4 and 2v3 determined by HT or lot.
If time permits, there shall be two game elimination matches at the rate as in 1 (a). If not, Armageddon shall be used.

4. If five players tie for first: they play a one game round robin at the rate as in 1(a).
Pairing numbers shall be in order of highest HT: 1, 4, 2, 5, 3 or lot.
(a) If five players tie, the tie is resolved in favour of the player who played fewest moves in the games they won.
(b) If four players of the five tie, they playoff as in 3, but Armageddon.
(c) If three players tie, they playoff as in 2.
If two players tie; they playoff as in 1(b)

5. If six players tie for first: they will be split into two sections of three. Players 1, 4, 5 will be placed in one section and 2, 3, 6 in the other in order of HT.
They will then play as in 2.
The two section winners will then playoff as in 1(b).

6. If seven players tie for first: they play Armageddon. If there is a tie for first place, the places are decided by the player who scored the point in fewest moves. Pairing numbers in order of highest HT: 1, 5, 2, 6, 3, 7, 4 or by lot.

7. If eight players tie they play knockout, 1v8, 2v7, 3v6 and 4v5 as in 1 (b).

8. If nine players tie they play 3 sections of three, 2 (b). Group A: 1, 5, 9. Group B: 2, 6, 7. Group C 3, 4, 8.

9. If ten players tie they play in two sections of five as in 4.
The two winners play as in 1 (b).

10. If eleven or more players tie, those ranked nine or lower by HT will be eliminated. They share a fraction of the total prize fund as decided in advance.
The remaining eight players shall play as in 7 for amended prizes.

11. The right is reserved to make necessary changes.

12. Where only two players are involved in the playoff, if time permits, they may play at a slower rate of play by agreement with the CA and CO.
If the original games run very late, the playoff may go straight to Armageddon.

7. Choice of Tiebreak System

The choice of the Tiebreak System to be used in a tournament shall be decided in advance taking into account the type of the tournament (Swiss, Round Robin, Teams, etc.) and the special structure of players expected to participate in the tournament. For instance the application of Tiebreak rules using the ratings of players is inappropriate in tournaments where the ratings are not available or not consistent or not necessarily correct (e.g. Junior/Senior tournaments)

Only one type of the five categories described above should be used for a given event. For example: using Sum of Progressive Score + Buchholz would be incorrect.

For different types of tournaments the Tiebreak Rules recommended are as listed below:

(a) Individual Round Robin Tournaments:
Direct encounter
Playoff
Number of games played with Black
Koya System
Sonneborn-Berger
Number of won games

(b) Team Round Robin System:
Games points
Match points
Direct encounter
Playoff
Sonneborn-Berger

(c) Individual Swiss Systems (all players have consistent ratings):
Direct encounter
Tournament Performance Rating
Average rating of opponents
Playoff

(d) Individual Swiss Systems (where not all the ratings are consistent):
Direct encounter
Sum of progressive score
Buchholz
Playoff
Sonneborn-Berger
Won games
Games played with Black

(e) Team Swiss Systems:
Games points
Match points
Direct encounter
Playoff
Buchholz
Sonneborn-Berger