The Bergvall system was a variation of the traditional knockout tournament system.

It was used at the 1912, 1920 and 1924 Summer Olympics after being devised by Erik Bergvall, a Swedish water polo player, journalist and sports official who wanted to improve on the traditional knockout method used in Olympic competitions.

Believing that the traditional knockout system was only fair in deciding the gold medal winner, Bergvall advocated separate competitions should also be held for the silver and bronze medals.

Bergvall also believed that teams knocked out in the early rounds of the main gold medal tournament should be given a second chance: all the teams knocked out by the gold medal winner, including the losing finalist, should compete in another knockout competition for the silver medal, then all the teams knocked out by the gold and silver medallists would compete in a third competition for the bronze.

At the 1912, 1920 and 1924 Games, the Bergvall system was used to decide the water polo, while at the 1920 Games it was also used for the football, the ice hockey and the tug of war.

Although the system is fair, there are two intrinsic flaws: firstly, the gold medal final is held in the middle of the tournament, instead of at the end, and secondly, defeated competitors have to remain ready to compete if those who lost to them are to have any chance of winning a medal.

Because of these flaws, the system was dropped by Olympic organisers after the 1924 Olympics, and was abandoned by the NCAA in 1931.

Example 1

Gold medal round

First roundSemifinalsFinal
Great Britain2
United States0Great Britain2
Belgium0
Great Britain2
Netherlands0
Netherlands2
Italy0

Silver medal round

First roundFinal
Belgium2
United States0Belgium0
Netherlands2

Bronze medal round

First roundFinal
United States2
Italy0United States0
Belgium2

Example 2

Gold medal round

First roundQuarterfinalsSemifinalsFinal
Great Britain9
Spain1Spain0
Italy1Great Britain7
United States2
United States7
Greece0
Great Britain3
Belgium11Belgium2
Switzerland0Belgium2
Netherlands1
Belgium5
Sweden11Sweden3
Czechoslovakia0Sweden7
Brazil5Brazil3
France1

Silver medal round

First roundFinal
United States5
Spain0United States2
Belgium7

Bronze medal round

First roundSemifinalsFinal
Sweden9
Netherlands7Netherlands1
Czechoslovakia0Sweden5
United States0
United States7
Greece5Greece0
Italy1

Notes