In The Tournament

[Alarico Boyett]

Thesetwo 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 venues 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".[1]

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 which are usually followed by a playoff. It is commonly used in curling tournaments.

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.

In athletics meetings, fastest losers may progress in a running event held over several rounds; e.g. the qualifiers for a later round might be the first 4 from each of 6 heats, plus the 8 fastest losers from among the remaining runners.

An extreme form of the knockout tournament is the stepladder format where the strongest team (or individual, depending on the sport) is assured of a berth at the final round while the next strongest teams are given byes according to their strength/seeds; for example, in a four team tournament, the fourth and third seed figure in the first round, then the winner goes to the semifinals against the second seed, while the survivor faces the first seed at the final. Four American sports organizations either currently use this format, or have in the past:

A group tournament, league, division or conference involves all competitors playing a number of fixtures (again, a fixture is one name for a tournament-match that determines who, out of two or three or more, will advance; a fixture may consist of one or more game-matches between competitors). Points are awarded for each fixture, with competitors ranked based either on total number of points or average points per fixture. Usually each competitor plays an equal number of fixtures, in which case rankings by total points and by average points are equivalent. The English County Championship in cricket did not require an equal number of matches prior to 1963.[2]

In a round-robin tournament, each competitor plays all the others an equal number of times, once in a single round-robin tournament and twice in a double round-robin tournament. This is often seen as producing the most reliable rankings. However, for large numbers of competitors it may require an unfeasibly large number of rounds. A Swiss system tournament attempts to determine a winner reliably, based on a smaller number of fixtures. Unlike regular Groups format, fixtures are scheduled one round at a time and depending on the results of the previous one; a competitor will play another who has a similar record in previous rounds of the tournament. This allows the top (and bottom) competitors to be determined with fewer rounds than a round-robin, though the middle rankings are unreliable.

For clarification, this means in hypothesis UEFA adopts a Swiss System for UEFA Champions League, the second matchday in the first stage (today's Groups Stage) would depend on the results of the first matchday of the same stage, the third matchday would depend on the results of both the first and the second matchday, and so on, in contrast to the predetermination of all Groups Stage fixtures upon the initial draw.[3]

Another tournament system that attempts to reduce the number of fixtures per competitor is the Pot System. Under that system, competitors are divided to different "pots" based on predetermined ranking and are drawn to play one rival from each pot, including their own pot. For example, in a 36-team World Cup, teams would be divided into 3 pots, with each team playing 3 matches - one against a Pot A team, one against Pot B team, and one against a team from Pot C. All teams are then placed in one general standing the defines qualification to the following stage.[4]

There may be other considerations besides reliability of rankings. In some professional team sports, weaker teams are given an easier slate of fixtures as a form of handicapping. Sometimes schedules are weighted in favour of local derbies or other traditional rivalries. For example, NFL teams play two games against each of the other three teams in their division, one game against six of the other twelve teams in their conference, and one game against five of the sixteen teams in the other conference.

The primary objective of a tournament is to determine the winner of a competition. Ideally, the tournament should be designed in such a way that all participants have an equal chance to compete and progress, regardless of factors like seeding or scheduling. The influence of luck or chance on the results should be minimised. The tournament should also be an exciting and engaging event for participants and spectators. Hence the following requirements for an ideal tournament:

Sometimes, results from an earlier phase are carried over into a later phase. In the Cricket World Cup, the second stage, known as the Super Eight since 2007 and before that the Super Six, features two teams from each of four preliminary groups (previously three teams from two preliminary groups), who do not replay the teams they have already played, but instead reuse the original results in the new league table. Formerly in the Swiss Football League, teams played a double round-robin, at which point they were split into a top "championship" group and a bottom "relegation" group; each played a separate double round-robin, with results of all 32 matches counting for ranking each group. A similar system is also used by the Scottish Premiership and its historic predecessor, the Scottish Premier League, since 2000. After 33 games, when every club has played every other club three times, the division is split into two halves. Clubs play a further five matches, against the teams in their half of the division. This can (and often does) result in the team placed seventh having a higher points total than the team placed sixth (because their final five games are considerably easier), nevertheless, a team in the bottom half never receives a higher final ranking than a team which qualified for the top half.

A multi-stage pool system was implemented by Curling Canada for the Canadian championship curling tournaments (the Scotties Tournament of Hearts for women and the Montana's Brier for men) starting in 2018. The change was intended to allow the expansion of the main stage of the tournament from twelve to sixteen teams while keeping the round robin at eleven games. The teams are seeded using a ranking system in which points are calculated based on the teams' results in all competitive bonspiels using a complicated formula. Seeds 1, 4, 5, 8, 9, 12, 13 and 16 and placed in Pool A while seeds 2, 3, 6, 7, 10, 11, 14 and 15 are placed in Pool B. After each team has played seven games, the top four teams from each pool advance to the "Championship Pool." Carrying over their entire round robin records with them, Championship Pool teams play one game against each of the four teams in the opposite pool, with the top four teams qualifying for the page playoffs. In contrast, teams that fail to qualify for the Championship Pool play only one additional "Placement Round" game against the team that finished in the same position in the opposite pool for the purposes of determining final tournament ranking. For these teams, there is little else to play for since there is no form of relegation (and, with the expansion of the field to sixteen teams, no "pre-qualifying tournament") and seeding is based solely on the performances of the participating teams and not the past results of the provinces and territories they represent.

The top Slovenian basketball league has a unique system. In its first phase, 12 of the league's 13 clubs compete in a full home-and-away season, with the country's representative in the Euroleague (an elite pan-European club competition) exempt. The league then splits. The top seven teams are joined by the Euroleague representative for a second home-and-away season, with no results carrying over from the first phase. These eight teams compete for four spots in a final playoff. The bottom five teams play their own home-and-away league, but their previous results do carry over. These teams are competing to avoid relegation, with the bottom team automatically relegated and the second-from-bottom team forced to play a mini-league with the second- and third-place teams from the second level for a place in the top league.

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