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Hub AI
Bye (sports) AI simulator
(@Bye (sports)_simulator)
Hub AI
Bye (sports) AI simulator
(@Bye (sports)_simulator)
Bye (sports)
In sport, a bye is the preferential status of a player or team that is automatically advanced to the next round of a tournament without having to play an opponent in an early round.
In knockout (elimination) tournaments, byes may be assigned either to reward the highest ranked participant(s), or randomly, to make a working bracket if the number of participants is not a power of two (e.g. 16 or 32).
In round-robin tournaments, usually one competitor gets a bye in each round when there are an odd number of competitors, as it is impossible for all competitors to play in the same round. However, over the whole tournament, each plays the same number of games as well as sitting out for the same number of rounds. The "Berger Tables" used by FIDE for chess tournaments, provide pairings for even numbered pools and simply state that "Where there is an odd number of players, the highest number counts as a bye."
Similar to the round-robin context, in league sports with weekly regular-season play such as gridiron football or rugby, a team not scheduled to play on a given week or fixture (competition period) can be said to be on its "bye week". Byes are necessary if there is an odd number of teams, but may also be used with an even number of teams, for example to provide rest breaks, as has been done in the National Football League (NFL).
In a standard single-elimination tournament, each round has half the number of teams of the preceding round. Thus the finals will have two, the semi-finals will have four, the quarter-finals will have eight, etc. Thus, tournaments with competitors numbering a power of two can have a standard bracket in which all teams are paired up with the loser of each match eliminated and the winner moving on to the next round until only one champion remains.
However, if the number of teams is not a power of two, a simple elimination tournament would eventually produce a round with an odd number of teams (if the number is not odd to start with). For example, a tournament of nine teams could only have four matches in the first round, while a simple tournament of ten teams would produce a second round with five teams, meaning only two matches could occur. Thus, if the number of participants is not a power of two (e.g. 16 or 32), to make a working bracket byes are provided to automatically move certain participants into a later round without requiring them to compete in an earlier one.
When participants are ranked, participants with the highest ranking going into the tournament are given a bye to the second round, as it is generally seen as an advantage to be assured entry into a later round. In the NFL playoffs, for example, as of 2020, the division-leader with the best record in each conference is given a bye to the second round. The Canadian Football League (CFL) also grants a bye to its two division winners, directly to the division finals as four other teams compete in a semi-final week. In other tournaments where teams are unranked, a random draw may be used to determine the byes.
The number of teams offered a bye is generally designed to ensure that the next round consists of a power-of-two number of teams so the tournament can proceed as a simple single-elimination tournament from that round onward.
Bye (sports)
In sport, a bye is the preferential status of a player or team that is automatically advanced to the next round of a tournament without having to play an opponent in an early round.
In knockout (elimination) tournaments, byes may be assigned either to reward the highest ranked participant(s), or randomly, to make a working bracket if the number of participants is not a power of two (e.g. 16 or 32).
In round-robin tournaments, usually one competitor gets a bye in each round when there are an odd number of competitors, as it is impossible for all competitors to play in the same round. However, over the whole tournament, each plays the same number of games as well as sitting out for the same number of rounds. The "Berger Tables" used by FIDE for chess tournaments, provide pairings for even numbered pools and simply state that "Where there is an odd number of players, the highest number counts as a bye."
Similar to the round-robin context, in league sports with weekly regular-season play such as gridiron football or rugby, a team not scheduled to play on a given week or fixture (competition period) can be said to be on its "bye week". Byes are necessary if there is an odd number of teams, but may also be used with an even number of teams, for example to provide rest breaks, as has been done in the National Football League (NFL).
In a standard single-elimination tournament, each round has half the number of teams of the preceding round. Thus the finals will have two, the semi-finals will have four, the quarter-finals will have eight, etc. Thus, tournaments with competitors numbering a power of two can have a standard bracket in which all teams are paired up with the loser of each match eliminated and the winner moving on to the next round until only one champion remains.
However, if the number of teams is not a power of two, a simple elimination tournament would eventually produce a round with an odd number of teams (if the number is not odd to start with). For example, a tournament of nine teams could only have four matches in the first round, while a simple tournament of ten teams would produce a second round with five teams, meaning only two matches could occur. Thus, if the number of participants is not a power of two (e.g. 16 or 32), to make a working bracket byes are provided to automatically move certain participants into a later round without requiring them to compete in an earlier one.
When participants are ranked, participants with the highest ranking going into the tournament are given a bye to the second round, as it is generally seen as an advantage to be assured entry into a later round. In the NFL playoffs, for example, as of 2020, the division-leader with the best record in each conference is given a bye to the second round. The Canadian Football League (CFL) also grants a bye to its two division winners, directly to the division finals as four other teams compete in a semi-final week. In other tournaments where teams are unranked, a random draw may be used to determine the byes.
The number of teams offered a bye is generally designed to ensure that the next round consists of a power-of-two number of teams so the tournament can proceed as a simple single-elimination tournament from that round onward.