Chess Tiebreak Systems Explained: Buchholz, Sonneborn-Berger & More

Two players finish your tournament on the same score. Who takes home the trophy? That is what tiebreaks decide. They look intimidating with names like Buchholz and Sonneborn-Berger, but the logic behind each one is simple. This guide breaks down every common chess tiebreak with plain examples, and tells you which to use for your event.

What Is a Tiebreak?

A tiebreak is a secondary number used to rank players who finish on the same tournament score. Chess points alone often produce ties: in a 5-round Swiss, it is common for three or four players to all finish on 4 out of 5. Since there is usually one trophy, organisers need a fair, automatic way to order them.

The core idea behind most tiebreaks is strength of schedule: if two players scored the same, the one who faced tougher opponents deserves the higher place. Almost every system below is a different way of measuring exactly that.

Buchholz (The Most Common Tiebreak)

Buchholz is the sum of the final scores of all your opponents. The reasoning: if your opponents finished with high scores, you faced a strong field, so your own equal score is worth more.

Buchholz Cut-1 and Median Buchholz

Plain Buchholz can be distorted by one unlucky opponent who withdrew or collapsed. Two variants fix this:

• Buchholz Cut-1: drop your lowest-scoring opponent before adding up. This removes the impact of one weak result.
• Median Buchholz: drop both your highest and lowest scoring opponents, then add the rest. Common in larger rated events.

Sonneborn-Berger

Sonneborn-Berger looks similar to Buchholz but rewards actually beating strong players rather than simply facing them. You add the full score of every opponent you beat, plus half the score of every opponent you drew. Opponents you lost to count for nothing.

It is the standard tiebreak in round robin events, where everyone plays everyone, so strength of schedule is identical and only your results matter.

Direct Encounter (Head-to-Head)

The simplest tiebreak of all: if the tied players played each other, whoever won that game ranks higher. It feels intuitively fair, which is why it is often used as the first tiebreak in small events. It only works when the tied players actually met during the tournament.

Number of Wins

More wins ranks higher. This rewards decisive, fighting chess over a string of safe draws. A player with 3 wins and 2 losses (3.0 points) ranks above a player with 1 win and 4 draws (also 3.0 points). It is an excellent, easy-to-explain secondary tiebreak.

Cumulative (Progressive) Score

Cumulative score adds up your running total after each round. Winning early is worth more because those points are counted in every later round. A player who starts 1, 2, 3, 4 has a cumulative score of 1+2+3+4 = 10, while a player who starts 0, 1, 2, 3, 4 over five rounds builds the total differently. It rewards leading from the front rather than catching up at the end.

Tiebreak Systems at a Glance

Tiebreak	What It Rewards	Best For
Buchholz	Facing a strong field	Swiss events (default)
Buchholz Cut-1	Strong field, ignoring one outlier	Larger Swiss events
Sonneborn-Berger	Beating strong players	Round robins
Direct Encounter	Winning the head-to-head game	Small events
Number of Wins	Decisive, fighting chess	Any event (great secondary)
Cumulative	Leading from early rounds	Swiss events

Which Tiebreak Should You Use?

Organisers stack tiebreaks in order: if the first does not separate the players, the second is checked, and so on. For most casual events you do not need a long list.

• Casual club or school event: Buchholz, then number of wins. Simple, fair, breaks almost every tie.
• Round robin: Sonneborn-Berger, then direct encounter.
• Larger rated Swiss: Buchholz Cut-1, then Buchholz, then number of wins.

Whatever you pick, announce the tiebreak order before round one. Players accept a result far more readily when the rules were clear from the start.

Tiebreaks are most often needed in the Swiss pairing system, where players with equal scores are paired together all event long. If you are still deciding how many rounds to run, see our guide on how many rounds a chess tournament should have, since more rounds usually means fewer ties to break.