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Tournament

A tournament is a competition involving a relatively large number of competitors, all participating in a sport or game. More specifically, the term may be used in either of two overlapping senses: A tournament is a competition involving a relatively large number of competitors, all participating in a sport or game. More specifically, the term may be used in either of two overlapping senses: These two senses are distinct. All golf tournaments meet the first definition, but while match play tournaments meet the second, stroke play tournaments do not, since there are no distinct matches within the tournament. In contrast, association football leagues like the Premier League are tournaments in the second sense, but not the first, having matches spread across many states in their past in 8pll over a period of up to a season. Many tournaments meet both definitions; for example, the Wimbledon tennis championship. Tournaments 'are temporally demarcated events, participation in which confers levels of status and prestige amongst all participating members'. A tournament-match (or tie or fixture or heat) may involve multiple game-matches (or rubbers or legs) between the competitors. For example, in the Davis Cup tennis tournament, a tie between two nations involves five rubbers between the nations' players. The team that wins the most rubbers wins the tie. In the later rounds of UEFA Champions League , each fixture is played over two legs. The scores of each leg are added, and the team with the higher aggregate score wins the fixture, with away goals used as a tiebreaker and a penalty shoot out if away goals cannot determine a winner of the game. A knockout tournament or elimination tournament is divided into successive rounds; each competitor plays in at least one fixture per round. The top-ranked competitors in each fixture progress to the next round. As rounds progress, the number of competitors and fixtures decreases. The final round, usually known as the final or cup final, consists of just one fixture; the winner of which is the overall champion. In a single-elimination tournament, only the top-ranked competitors in a fixture progress; in 2-competitor games, only the winner progresses. All other competitors are eliminated. This ensures a winner is decided with the minimum number of fixtures. However, most competitors will be eliminated after relatively few matches; a single bad or unlucky performance can nullify many preceding excellent ones. A double-elimination tournament may be used in 2-competitor games to allow each competitor a single loss without being eliminated from the tournament. All losers from the main bracket enter a losers' bracket, the winner of which plays off against the main bracket's winner. A triple elimination tournament allows a competitor to lose two games, and creates a third bracket or fourth bracket, and are usually followed by a playoff. It is usually used in curling tournaments. Some elimination tournaments are in a best-of-7 series, allowing a competitor to lose at most four times (to the same competitor) before being eliminated. Some formats use a repechage, allowing losers to play extra rounds before re-entering the main competition in a later round. Rowing regattas often have repechage rounds for the 'fastest loser' from the heats. The winners of these progress, but are at a disadvantage in later rounds owing to the extra effort expended during the repechage.

[ "Simulation", "Combinatorics", "Calcutta auction", "Traveling tournament problem", "International Young Physicists' Tournament", "priority search queues", "tournament design" ]
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