Chess Scotland Rule Book - Tie Break Systems
| Tie-breaking Systems | ||
| The following are ways of breaking ties. They should not be regarded as being in any particular order. The system to be used should be decided before the event starts. | ||
For Swiss Tournaments |
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| 1. | Modified Sum of Opponents' Grades System Where the players involved have all played only against graded opponents, after eliminating the lowest graded opponent, find the sum of opponents' gradings. The highest total wins. If still tied, eliminate the next lowest graded opponent until a decision is reached. |
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| 2 | Sum of Progressive Scores System For other Swiss tournaments, add for each player his cumulative scores at the end of each round. The player with the highest total wins. If still tied, deduct the first round score and recount, then the second round, and so on. |
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| 3 | Sum of Opponents Scores System (Buchholz) Add for each player the scores of his opponents (Bye counts as zero). The highest total wins. This may be modified by deleting the lowest contribution to each total. |
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| For Other Tournaments (Including All-Play-Alls) | ||
| 4 | Results of games between all tied players | |
| 5 | Number of won games. | |
| 6 | Wallace (Elimination of Scores) System Eliminate the scores obtained against opponents in the lowest final score group. The highest total wins. If still tied, eliminate scores from the next lowest final score group, and so on. |
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| 7 | The move rate set on the computer should allow for the time which will be taken by the operator in transferring moves from and to the tournament board | |
| 8 | Sonneborn-Berger For each player, multiply the score of each opponent by the score (1, 2, 0) obtained against that opponent. Add the resulting numbers. The highest total wins. (Can also be used in a Swiss) |
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B. Team Events |
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| 9 | Game Points/Match Points System Where a multiple round team event takes place with the order based on the total of game (or match) points, comparison of match (or game) points will be the first tie-break system applied. |
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| 10 | Hooper (Board Count) System Where only two teams have played, the numbers of the boards at which each team won are added, and the team with the lower total wins. |
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| 11 | Bottom Board Elimination System The score obtained by each team on the lowest board is cancelled and so on upwards until the tie is broken |
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| 12 | If the tie remains unbroken, decide by lot | |