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53-507: WBBL may refer to: Women's British Basketball League - the top women's basketball competition in the United Kingdom Women's Big Bash League , an Australian T20 Women's Cricket Competition WBBL (FM) , a radio station (96.5 FM) licensed to serve Richton, Mississippi, United States WLAW (AM) , a radio station (1490 AM) licensed to serve Whitehall, Michigan, United States, which held

106-463: A bye . The schedule can therefore be computed as though the dummy were an ordinary player, either fixed or rotating. Instead of rotating one position, any number relatively prime to ( n − 1 ) {\displaystyle (n-1)} will generate a complete schedule. The upper and lower rows can indicate home/away in sports, white/black in chess , etc.; to ensure fairness, this must alternate between rounds since competitor 1

159-464: A bye. If the number is even, an added player (ω) becomes the opponent. For an even number n {\displaystyle n} or an odd number n − 1 {\displaystyle n-1} of competitors, Schurig builds a table with n / 2 {\displaystyle n/2} vertical rows and n − 1 {\displaystyle n-1} horizontal rows. Then he populates it starting from

212-411: A competitor to play the strongest opponents in a round robin in quick succession while others play them intermittently with weaker opposition. This asymmetry means that playing the same opponents is not necessarily completely equitable. There is also no scheduled showcase final match unless (by coincidence) two competitors meet in the last match of the tournament, with the result of that match determining

265-477: A competitor's chance of ultimate victory. Final records of participants are more accurate, in the sense that they represent the results over a longer period against the same opposition. The system is also better for ranking all participants, not just determining the winner. This is helpful to determine the final rank of all competitors, from strongest to weakest, for purposes of qualification for another stage or competition as well as for prize money. In team sports,

318-991: A large number of competitive matches per season, double round-robins are common. Most association football leagues in the world are organized on a double round-robin basis, in which every team plays all others in its league once at home and once away. This system is also used in qualification for major tournaments such as the FIFA World Cup and the continental tournaments (e.g. UEFA European Championship , CONCACAF Gold Cup , AFC Asian Cup , CONMEBOL Copa América and CAF Cup of Nations ). There are also round-robin cricket , bridge , chess , draughts , go , ice hockey , curling , and Scrabble tournaments. The World Chess Championship decided in 2005 and in 2007 on an eight-player double round-robin tournament where each player faces every other player once as white and once as black. There has been several major international cricket tournaments held in this format including ICC events, including

371-484: A lower-placed qualifier is perceived to be easier than for a higher-placed one). Four pairs in the 2012 Olympics Women's doubles badminton , having qualified for the next round, were ejected from the competition for attempting to lose in the round robin stage to avoid compatriots and better ranked opponents. The round robin stage at the Olympics was a new introduction, and these potential problems were readily known prior to

424-437: A round in which players meets each other. For example, player 7 plays against player 11 in round 4. If a player meets itself, then this shows a bye or a game against player n. All games in a round constitutes a diagonal in the table. The above schedule can also be represented by a graph, as shown below: Both the graph and the schedule were reported by Édouard Lucas in as a recreational mathematics puzzle. Lucas, who describes

477-497: A round, a non-leftmost position (not including 1 {\displaystyle 1} ) can only be taken by competitors of a fixed distance. In round 1 {\displaystyle 1} of the example, in the second position competitor 2 {\displaystyle 2} plays against 13 {\displaystyle 13} , their distance is 2 {\displaystyle 2} . In round 2 {\displaystyle 2} , this position

530-540: A schedule where player 14 has a fixed position, and all other players are rotated counterclockwise n 2 {\displaystyle {\frac {n}{2}}} positions. This schedule is easily generated manually. To construct the next round, the last player, number 8 in the first round, moves to the head of the table, followed by player 9 against player 7, player 10 against 6, until player 1 against player 2. Arithmetically, this equates to adding n 2 {\displaystyle {\frac {n}{2}}} to

583-619: A straight knockout system. The top one, two, or occasionally three teams in these groups then proceed to a straight knockout stage for the remainder of the tournament. In the circle of death it is possible that no champion emerges from a round-robin tournament, even if there is no draw, but most sports have tie-breaker systems which resolve this. Round-robins can suffer from being too long compared to other tournament types, and with later scheduled games potentially not having any substantial meaning. They may also require tie-breaking procedures. Swiss system tournaments attempt to combine elements of

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636-521: A table. In France this is called the Carousel -Berger system (Système Rutch-Berger). The schedule can also be used for "asynchronous" round-robin tournaments where all games take place at different times (for example, because there is only one venue). The games are played from left to right in each round, and from the first round to the last. When the number of competitors is even, this schedule performs well with respect to quality and fairness measures such as

689-524: A tie between multiple teams where this does not break the tie, the winners are then determined by the points difference in the games between said teams. Following the completion of the Championship regular season, the top eight ranked teams advance into the post-season Play-offs which usually take place during April. The post-season Playoffs usually takes place in April, featuring the top eight ranked teams from

742-416: A tournament of 16 teams can be completed in just 4 rounds (i.e. 15 matches) in a knockout format; a double elimination tournament format requires 30 (or 31) matches, but a round-robin would require 15 rounds (i.e. 120 matches) to finish if each competitor faces each other once. Other issues stem from the difference between the theoretical fairness of the round robin format and practice in a real event. Since

795-499: A variety of tiebreaker criteria. Frequently, pool stages within a wider tournament are conducted on a round-robin basis. Examples with single round-robin scheduling include the FIFA World Cup , UEFA European Football Championship , and UEFA Cup (2004–2009) in football, Super Rugby ( rugby union ) in the Southern Hemisphere during its past iterations as Super 12 and Super 14 (but not in its later 15- and 18-team formats),

848-407: A win, with overtime used if the score is tied at the final buzzer – unlimited numbers of 5-minute overtime periods are played until one team is ahead when a period ends. At the end of the regular season, the team with the most points is crowned as WBBL Champions. If points are equal between two or more teams then head-to-head results between said teams are used to determine the winners. In the case of

901-613: Is a simple algorithm to create a schedule for a round-robin tournament. All competitors are assigned to numbers, and then paired in the first round: Next, one of the competitors in the first or last column of the table is fixed (number one in this example) and the others rotated clockwise one position: This is repeated until when the next iteration would lead back to the initial pairings: With an even number n {\displaystyle n} of competitors this algorithm realizes every possible combination of them (equivalently, that all pairs realized are pairwise different). First,

954-435: Is always on the first row. If, say, competitors 3 and 8 were unable to fulfil their fixture in the third round, it would need to be rescheduled outside the other rounds, since both competitors would already be facing other opponents in those rounds. More complex scheduling constraints may require more complex algorithms. This schedule is applied in chess and draughts tournaments of rapid games, where players physically move round

1007-457: Is an annual knockout competition featuring all WBBL member clubs. It is a straight knockout competition. The Betty Codona Classic was an annual three-day tournament named in honour of Betty Codona OBE , a stalwart of women's basketball in Britain for over 50 years and founder of the country's first women's team, Sheffield Hatters . The competition was originally set up as an independent event for

1060-503: Is derived from the French term ruban ('ribbon'). Over time, the term became idiomized to robin . In a single round-robin schedule, each participant plays every other participant once. If each participant plays all others twice, this is frequently called a double round-robin . The term is rarely used when all participants play one another more than twice, and is never used when one participant plays others an unequal number of times, as

1113-691: Is different from Wikidata All article disambiguation pages All disambiguation pages Women%27s British Basketball League Like the BBL, the organisation used a franchise-based system so there is no promotion and relegation between the WBBL and the English Women's Basketball League , which forms the lower divisions. Along with the WBBL Championship and the post-season Play-offs, it also ran two knockout competitions featuring all WBBL member teams -

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1166-691: Is even, then in each of ( n − 1 ) {\displaystyle (n-1)} rounds, n 2 {\displaystyle {\begin{matrix}{\frac {n}{2}}\end{matrix}}} games can be run concurrently, provided there exist sufficient resources (e.g. courts for a tennis tournament). If n {\displaystyle n} is odd, there will be n {\displaystyle n} rounds, each with n − 1 2 {\displaystyle {\begin{matrix}{\frac {n-1}{2}}\end{matrix}}} games, and one competitor having no game in that round. The circle method

1219-1054: Is held by competitors 14 {\displaystyle 14} and 12 {\displaystyle 12} , also having distance 2 {\displaystyle 2} , etc. Similarly, the next position ( 3 {\displaystyle 3} against 12 {\displaystyle 12} in round 1 {\displaystyle 1} , 2 {\displaystyle 2} against 11 {\displaystyle 11} in round 2 {\displaystyle 2} , etc.) can only hold distance- 4 {\displaystyle 4} competitors. For every k < n 2 {\displaystyle k<{\frac {n}{2}}} , there are exactly n − 1 {\displaystyle n-1} pairs of distance k {\displaystyle k} . There are n − 1 {\displaystyle n-1} rounds and they all realize one distance- k {\displaystyle k} pair at

1272-478: Is the case in almost all of the major North American professional sports leagues. In the United Kingdom , a round-robin tournament has been called an American tournament in sports such as tennis or billiards which usually have single-elimination (or "knockout") tournaments, although this is now rarely done. A round-robin tournament with four players is sometimes called "quad" or "foursome". In sports with

1325-408: Is the fairest way to determine the champion from among a known and fixed number of contestants. Each contestant, whether player or team, has equal chances against all other opponents because there is no prior seeding of contestants that will preclude a match between any given pair. The element of luck is seen to be reduced as compared to a knockout system since one or two bad performances need not ruin

1378-560: The 2025 ICC Champions Trophy . In a more extreme example, the KBO League in baseball plays a 16-fold round robin, with each of the 10 teams playing each other 16 times for a total of 144 games per team. LIDOM (Baseball Winter League in the Dominican Republic) plays an 18-fold round robin as a semi final tournament between four classified teams. Group tournaments rankings usually go by number of matches won and drawn, with any of

1431-630: The Cricket World Cup along with Indian Premier League , major Twenty-20 Cricket tournament, and many American football college conferences , such as the Conference USA (which currently has 9 members). The group phases of the UEFA club competitions and Copa Libertadores are contested as a double round-robin, as are most basketball leagues outside the United States, including the regular season of

1484-520: The EuroLeague (as well as its former Top 16 phase); the United Football League has used a double round-robin for both its 2009 and 2010 seasons. Season ending tennis tournaments also use a round robin format prior to the semi on stages. The champion in a round-robin tournament is the contestant that wins the most games, except when draws are possible. In theory, a round-robin tournament

1537-524: The Classic Cup was contested by the top four from the previous season's league, with fifth to eighth placed teams from last year's league competing for the Classic Plate. The WBBL concludes each season with a number of individual awards based on overall performance from the year. The three end-of-season awards are; MVP Award (Most Valuable Player - which proposes the player with the best performance over

1590-464: The WBBL Championship regular season compete in a knockout tournament . Teams are seeded depending on their final positioning in the Championship standings, so first-place faces eighth-place, second versus seventh-place, third against sixth-place and finally fourth plays the fifth-placed team. Both the Quarter-finals and the succeeding Semi-finals are played over a two-game series (home & away) with

1643-535: The WBBL Cup and WBBL Trophy. Officially approved by the British Basketball League and England Basketball , the newly created Women's British Basketball League was announced to the public on 5 June 2014, and the 2014–15 season was the league's first full season of competition. The initial line-up included pre-existing teams from England and Wales , competing in a franchise -based organisation similar to

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1696-446: The algorithm obviously realizes every pair of competitors if one of them equals 1 {\displaystyle 1} (the non-moving competitor). Next, for pairs of non- 1 {\displaystyle 1} competitors, let their distance be the number k < n 2 {\displaystyle k<{\frac {n}{2}}} of times the rotation has to be carried out in order that one competitor arrives at

1749-535: The amount of rest between games. On the other hand, when the number of competitors is odd, it does not perform so well and a different schedule is superior with respect to these measures. Alternatively Berger tables, named after the Austrian chess master Johann Berger , are widely used in the planning of tournaments. Berger published the pairing tables in his two Schach-Jahrbücher (Chess Annals), with due reference to its inventor Richard Schurig. This constitutes

1802-566: The call sign WBBL-FM from 2019 to 2021 WTNR (FM) , a radio station (107.3 FM) licensed to serve Greenville, Michigan, which held the call sign WBBL-FM from 2009 to 2019 WJRW , a radio station (1340 AM) licensed to serve Grand Rapids, Michigan, which held the call sign WBBL from 1994 to 2009 WBBL (Virginia) , a radio station in Richmond, Virginia, United States, which broadcast from 1924 to 1989 N-acetylglucosaminyl-diphospho-decaprenol L-rhamnosyltransferase , an enzyme Topics referred to by

1855-435: The championship. A notable instance of such an event was the 1950 FIFA World Cup match between Uruguay and Brazil . Further issues arise where a round-robin is used as a qualifying round within a larger tournament. A competitor already qualified for the next stage before its last game may either not try hard (in order to conserve resources for the next phase) or even deliberately lose (if the scheduled next-phase opponent for

1908-478: The higher seed having choice of home advantage in the either the 1st or 2nd leg – an aggregated score over the two games will determine which team will advance to the next stage. As with the Quarter-finals, teams in the Semi-finals are also seeded, with the highest-ranking team drawn against the lowest-ranking team in one Semi-final and the two remaining teams drawn together in the other Semi-final. The culmination of

1961-434: The league as well as the best five defensively players of the year in the league. Round-robin tournament A round-robin tournament or all-play-all tournament is a competition format in which each contestant meets every other participant, usually in turn. A round-robin contrasts with an elimination tournament , wherein participants are eliminated after a certain number of wins or losses. The term round-robin

2014-509: The league, but three new clubs have joined in that time, including the league's first member club from Scotland . The WBBL Championship is the flagship competition of the Women's British Basketball League and features all member teams playing a 22-game regular season (in a round robin format), from October through to April. Matches are played according to FIBA rules and games consist of four-quarters of 10 minutes each. Two points are awarded for

2067-456: The majority of fixtures have been played in each round. A preliminary round took place between the lowest-finishing teams in the previous league season, so that the tournament proper started with eight teams in the first round. From the 2016-17 season, the format was revamped, splitting the teams into a number of geographical groups. The top teams from each group qualify for the semi-finals, which are played as straight knockout ties. The WBBL Cup

2120-446: The men's British Basketball League model, with no promotion or relegation in operation with the lower leagues. All eight teams from the pre-existing English Basketball League Division One (Women) competition were selected as member clubs, as well as the two finalists from the 2014 Division Two (Women) Play-offs, Brixton Lady TopCats and Leeds Beckett University . Since the league's inauguration, both Leeds and Brixton have resigned from

2173-403: The method as simple and ingenious , attributes the solution to Felix Walecki, a teacher at Lycée Condorcet . Lucas also included an alternative solution by means of a sliding puzzle . To easily remember this method, the following mnemonic can be used. Starting from the first round, the next round is constructed: and then, If the number of players is odd, the player in the first venue gets

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2226-496: The position the other had. In the example given ( n = 14 {\displaystyle n=14} ), 2 {\displaystyle 2} has distance 1 {\displaystyle 1} to 3 {\displaystyle 3} and to 14 {\displaystyle 14} and it has distance 6 {\displaystyle 6} to 8 {\displaystyle 8} and to 9 {\displaystyle 9} . In

2279-466: The post-season is the grand Final, a one-off game played at the end of April, where the winners will be crowned as Play-off Champions. The WBBL Trophy, now officially the Betty Codona Trophy , is an annual pool stage and knockout tournament featuring all WBBL member clubs. For the first two seasons, pairings were drawn completely at random – there were no seeds , and a draw took place after

2332-400: The previous row, with the exception of player n {\displaystyle n} . When the result of the addition is greater than ( n − 1 ) {\displaystyle (n-1)} , then subtract ( n − 1 ) {\displaystyle (n-1)} from the sum. This schedule can also be represented as a (n-1, n-1) table, expressing

2385-406: The round-robin and elimination formats, to provide a worthy champion using fewer rounds than a round-robin, while allowing draws and losses. The main disadvantage of a round robin tournament is the time needed to complete it. Unlike a knockout tournament where half of the participants are eliminated after each round, a round robin requires one round less than the number of participants. For instance,

2438-521: The round-robin major league champions are generally regarded as the "best" team in the land, rather than the cup winners, whose tournaments usually follow a single-elimination format. Moreover, in tournaments such as the FIFA or ICC World Cups, a first round stage consisting of a number of mini round robins between groups of 4 teams guards against the possibility of a team travelling possibly thousands of miles only to be eliminated after just one poor performance in

2491-408: The same position. Clearly, these pairs are pairwise different. The conclusion is that every distance- k {\displaystyle k} pair is realized. This holds for every k {\displaystyle k} , hence, every pair is realized. If there are an odd number of competitors, a dummy competitor can be added, whose scheduled opponent in a given round does not play and has

2544-453: The same term [REDACTED] This disambiguation page lists articles associated with the title WBBL . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=WBBL&oldid=1085366916 " Categories : Disambiguation pages Broadcast call sign disambiguation pages Hidden categories: Short description

2597-603: The teams. This famously happened during the 1994 FIFA World Cup Group E , where all four teams finished with a record of one win, one draw, and one loss. This phenomenon is analogous to the Condorcet paradox in voting theory. If n {\displaystyle n} is the number of competitors, a pure round robin tournament requires n 2 ( n − 1 ) {\displaystyle {\begin{matrix}{\frac {n}{2}}\end{matrix}}(n-1)} games. If n {\displaystyle n}

2650-421: The top clubs in Women's basketball and predates the creation of the WBBL by a year, but was adopted as an official WBBL competition after the league was established. The original format featured the top eight-placed WBBL teams after the first 8 games of regular season play. For the 2016/2017 edition, the competition was moved to become the opening event for the WBBL season, resulting in a two-tiered format where

2703-435: The tournament; changes were made prior to the next Olympics to prevent a repeat of these events. Another disadvantage, especially in smaller round-robins, is the "circle of death", where teams cannot be separated on a head-to-head record. In a three-team round-robin, where A defeats B, B defeats C, and C defeats A, all three competitors will have a record of one win and one loss, and a tiebreaker will need to be used to separate

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2756-451: The victor is gradually arrived at through multiple rounds of play, teams who perform poorly, who might have been quickly eliminated from title contention, are forced to play out their remaining games. Thus games are played late in the competition between competitors with no remaining chance of success. Moreover, some later matches will pair one competitor who has something left to play for against another who does not. It may also be possible for

2809-559: The year); the Young Player of the Year (the best performance of a younger player usually at the age before or during university); and Coach of the Year (the coach with the best performance over the season). The WBBL also awards MVP Awards for the Playoffs, Trophy and Cup finals. In addition, 'Team of the Year' and 'Defensive Team of the Year' places are awarded to demonstrate the best five players in

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