Buchholz system

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The Buchholz system (also spelled Buchholtz) is a ranking or scoring system in chess developed by Bruno Buchholz (died ca. 1958) in 1932, for Swiss system tournaments ( Hooper & Whyld 1992 ). It was originally developed as an auxiliary scoring method, but more recently it has been used as a tie-breaking system. It was probably first used in the 1932 Bitterfeld tournament. It was designed to replace the Neustadtl score ( Hooper & Whyld 1992 ).

Chess Strategy board game

Chess is a two-player strategy board game played on a checkered board with 64 squares arranged in an 8×8 grid. The game is played by millions of people worldwide. Chess is believed to be derived from the Indian game chaturanga sometime before the 7th century. Chaturanga is also the likely ancestor of the Eastern strategy games xiangqi, janggi, and shogi. Chess reached Europe by the 9th century, due to the Umayyad conquest of Hispania. The pieces assumed their current powers in Spain in the late 15th century; the modern rules were standardized in the 19th century.

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The method is to give each player a raw score of one point for each win and a half point for each draw. When used as an alternate scoring system, each player's Buchholz score is calculated by adding the raw scores of each of the opponents he played and multiplying this total by the player's raw score ( Hooper & Whyld 1992 ). When used for tie-breaking among players with the same raw score, no multiplying is necessary and the sum of the raw scores of the opponents played is used to break ties ( Golombek 1977 ). When used as a tie-break system, it is equivalent to the Solkoff system.

Draw (chess) result of a chess game ending in a tie

In chess, a draw is the result of a game ending in a tie. Usually, in tournaments a draw is worth a half point to each player, while a win is worth one point to the victor and none to the loser.

The major criticism of this system is that tie-break scores can be distorted by the set of opponents that each player plays (especially in early rounds). To avoid this problem a version of Buchholz, the Median-Buchholz System is sometimes used. In the Median-Buchholz System the best and worst scores of a player's opponents are discarded, and the remaining scores summed.

See also

Tie-break systems are used in chess Swiss system tournaments to break ties between players who have the same total number of points after the last round. This is needed when prizes are indivisible, such as titles, trophies, or qualification for another tournament. Otherwise players often share the tied spots, with cash prizes being divided equally among the tied players. If the players are still tied after one tie-break system is used, another system is used, and so on, until the tie is broken. Most of the methods are numerical methods based on the games that have already been played or other objective factors, while some methods require additional games to be played, etc. Strength of schedule is the idea behind the methods based on the games already played: that the player that played the harder competition to achieve the same number of points should be ranked higher.

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References

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