Single-Elimination Tournament

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A **single-elimination tournament**, also called a **knockout**, **cup** or **sudden death tournament**, is a type of elimination tournament where the loser of each match or bracket is immediately eliminated from winning the championship or first prize in the event. This does not always mean that the defeated competitor will not participate further in the tournament: in some such tournaments, consolation or "classification" contests are subsequently held among those already defeated to determine the awarding of lesser places, for example, a third place playoff.

Where more than two competitors can play in each match, such as in a shootout poker tournament, players are removed when they can no longer play until one player remains from the group. This player moves on to the next round.

A simple way to describe a single-elimination tournament is that the winner of each match moves on and the loser goes home.

Some competitions are held with a pure single-elimination tournament system. Others have many phases, with the last being a single-elimination final stage called playoffs.

## Brackets

Assuming two competitors per match, if there are <math>n</math> competitors, there will be <math>r = left lceil log_ n right rceil </math> rounds required, or if there are <math>r</math> rounds, there will be <math>n= 2^r</math> competitors.

In the opening round, <math>2^r - n</math> competitors will get a*bye*. Often, the number of...

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Where more than two competitors can play in each match, such as in a shootout poker tournament, players are removed when they can no longer play until one player remains from the group. This player moves on to the next round.

A simple way to describe a single-elimination tournament is that the winner of each match moves on and the loser goes home.

Some competitions are held with a pure single-elimination tournament system. Others have many phases, with the last being a single-elimination final stage called playoffs.

In the opening round, <math>2^r - n</math> competitors will get a

Read More

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