The Sonneborn-Berger tiebreak is a scoring system used in chess tournaments to break ties among players with the same number of points at the end of the event. It is named after its two inventors, William Sonneborn and Friedrich Berger.

Explanation:
In chess tournaments, players earn points based on their performance in games (e.g., 1 point for a win, 0.5 points for a draw, and 0 points for a loss). When the tournament concludes, some players may have accumulated the same number of points, leading to a tie for their final ranking.

To resolve the tie and determine the final standings, the Sonneborn-Berger tie break comes into play. It calculates the performance of each player’s opponents and rewards players who have defeated strong opponents.

Here’s how the Sonneborn-Berger tiebreak is calculated:

  1. For each player, sum up the total points earned by all the opponents they defeated during the tournament.
  2. For each player, if they had any draws, sum up half of the total points earned by all the opponents they drew against.
  3. The player with the highest sum of points from the above calculations gets a higher Sonneborn-Berger score.
  4. If there is still a tie after applying the Sonneborn-Berger tiebreak, other tiebreak methods like the Buchholz tiebreak or the performance rating may be used.

In simple terms, the Sonneborn-Berger tiebreak rewards players for their draws against strong opponents as well as their own victories. Defeating a player who performed well in the tournament becomes more valuable, making it a crucial factor in determining the final rankings in chess competitions with tie situations. The Sonneborn-Berger tiebreak is widely used in chess tournaments to ensure a fair and decisive outcome when players finish with the same number of points.

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