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100-408: The 1985 Japan Grand Prix was a 10-woman round-robin tournament concluding on June 25, 1985. The 1986 Japan Grand Prix was a 12-woman round-robin tournament concluding on June 22, 1986. The 1987 Japan Grand Prix was a 13-woman round-robin tournament concluding on June 28, 1987. The 1988 Japan Grand Prix was an 11-woman round-robin tournament concluding on June 26, 1988. The 1989 Japan Grand Prix

200-463: 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

300-401: A round-robin tournament in which each team is scheduled for three matches against other teams in the same group. This means that a total of six matches are played within a group. The last round of matches of each group is scheduled at the same time to preserve fairness among all four teams. The top two teams from each group advance to the knockout stage. Points are used to rank the teams within

400-426: A "world football championship for amateurs", and took responsibility for managing the event. This paved the way for the world's first intercontinental football competition for nations, at the 1920 Summer Olympics , contested by Egypt and 13 European teams, and won by Belgium . Uruguay won the next two Olympic football tournaments in 1924 and 1928 . Those were also the first two open world championships, as 1924

500-464: 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

600-489: A certain number of wins or losses. The term round-robin 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

700-411: 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

800-477: 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,

900-455: A dozen FIFA officials were made since that time, particularly on 29 May and 3 December. By the end of May 2015, a total of nine FIFA officials and five executives of sports and broadcasting markets had already been charged on corruption. At the time, FIFA president Sepp Blatter announced he would relinquish his position in February 2016. On 4 June 2015, Chuck Blazer while co-operating with

1000-470: A form, the submission of which represents the official confirmation of the candidacy. After this, a FIFA designated group of inspectors visit the country to identify that the country meets the requirements needed to host the event and a report on the country is produced. The decision on who will host the World Cup is usually made six or seven years in advance of the tournament. There have been occasions where

1100-526: A formula based on the FIFA World Rankings or performances in recent World Cups, and drawn to separate groups. The other teams are assigned to different "pots", usually based on geographical criteria, and teams in each pot are drawn at random to the eight groups. Since 1998 , constraints have been applied to the draw to ensure that no group contains more than two European teams or more than one team from any other confederation. Each group plays

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1200-443: A group. Since 1994 , three points have been awarded for a win , one for a draw and none for a loss (before, winners received two points). Considering six matches in a group each with three possible outcomes (win, draw, loss), there are 729 (= 3 ) possible final table outcomes for the 40 possible combinations of the four teams' points. However, 14 of the 40 points combinations (or 207 of the 729 possible outcomes) lead to ties between

1300-489: 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

1400-504: A particularly dark cloud because of the 2015 FIFA corruption case, allegations and criminal charges of bribery, fraud and money laundering to corrupt the issuing of media and marketing rights (rigged bids) for FIFA games, with FIFA officials accused of taking bribes totaling more than $ 150 million over 24 years. In late May, the U.S. Department of Justice announced a 47-count indictment with charges of racketeering, wire fraud and money laundering conspiracy against 14 people. Arrests of over

1500-620: A pattern of alternating the hosts between the Americas and Europe, which continued until the 1998 FIFA World Cup . The 2002 FIFA World Cup , hosted jointly by South Korea and Japan, was the first one held in Asia, and the first tournament with multiple hosts. South Africa became the first African nation to host the World Cup in 2010 . The 2014 FIFA World Cup was hosted by Brazil, the first held in South America since Argentina 1978 , and

1600-408: A political matter so why not have more Africans? The competition is to bring all the people of all the world. If you don't give the possibility to participate, they don't improve." In October 2016, FIFA president Gianni Infantino stated his support for a 48-team World Cup in 2026. On 10 January 2017, FIFA confirmed the 2026 World Cup will have 48 finalist teams. By May 2015, the games were under

1700-452: A revised format of the 2026 tournament, which features 12 groups of four teams each, with the top 8 third-placed teams joining the group winners and runners-up in a new round of 32. Early World Cups were given to countries at meetings of FIFA's congress. The locations were controversial because South America and Europe were by far the two centres of strength in football and travel between them required three weeks by boat. The decision to hold

1800-437: 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

1900-497: 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

2000-540: 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

2100-401: A six-woman Junior Division round-robin tournament was held. Main league 21st Century League The 2001 Japan Grand Prix was a 12-woman round-robin tournament held from June 1 to August 17, 2001. The 2002 Japan Grand Prix was a nine-woman round-robin tournament held from May 25 to July 9, 2002. The top four finishers advanced to a single-elimination tournament. The 2003 Japan Grand Prix

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2200-619: 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

2300-526: 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

2400-410: A total of 80 national teams have competed. The trophy has been won by eight national teams. With five wins, Brazil is the only team to have played in every tournament. The other World Cup winners are Germany and Italy , with four titles each; Argentina , with three titles; France and inaugural winner Uruguay , each with two titles; and England and Spain , with one title each. The World Cup

2500-416: 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

2600-571: 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),

2700-456: A women's version, although a FIFA Women's Club World Cup has been proposed. The FIFA U-20 Women's World Cup is held biannually, including the year before each Women's World Cup. Both tournaments were awarded in a single bidding process on three occasions, with the U-20 tournament serving as a dress rehearsal for the larger competition each time ( 2010 , 2014 and 2018 ). From 1930 to 1970,

2800-613: 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,

2900-435: 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

3000-691: 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

3100-430: Is followed by the quarter-finals, the semi-finals, the third-place match (contested by the losing semi-finalists), and the final. On 10 January 2017, FIFA approved a new format, the 48-team World Cup (to accommodate more teams), which was to consist of 16 groups of three teams each, with two teams qualifying from each group, to form a round of 32 knockout stage, to be implemented by 2026. On 14 March 2023, FIFA approved

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3200-1054: 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

3300-504: Is never used when one participant plays others an unequal number of times, as 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

3400-499: Is not awarded to the winning nation permanently. World Cup winners retain the trophy only until the post-match celebration is finished. They are awarded a gold-plated replica rather than the solid gold original immediately afterwards. All members (players, coaches, and managers) of the top three teams receive medals with an insignia of the World Cup Trophy ; winners' (gold), runners-up' (silver), and third-place (bronze). In

3500-487: Is partly to avoid a similar scenario to the bidding process for the 2014 tournament, where Brazil was the only official bidder. The 2026 FIFA World Cup was chosen to be held in the United States, Canada and Mexico, marking the first time a World Cup has been shared by three host nations. The 2026 tournament will be the biggest World Cup ever held, with 48 teams playing 104 matches. Sixty matches will take place in

3600-413: Is sometimes called "quad" or "foursome". In sports with 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

3700-408: 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

3800-449: Is the most prestigious association football competition in the world, as well as the most widely viewed and followed sporting event in the world. The viewership of the 2018 World Cup was estimated to be 3.57 billion, close to half of the global population, while the engagement with the 2022 World Cup was estimated to be 5 billion, with about 1.5 billion people watching the final match . Seventeen countries have hosted

3900-608: The Jules Rimet Trophy was awarded to the World Cup winning team. It was originally simply known as the World Cup or Coupe du Monde , but in 1946 it was renamed after the FIFA president Jules Rimet who set up the first tournament. In 1970 , Brazil 's third victory in the tournament entitled them to keep the trophy permanently. However, the trophy was stolen in 1983 and has never been recovered, apparently melted down by

4000-672: The 1906 Intercalated Games . After FIFA was founded in 1904, it tried to arrange an international football tournament between nations outside the Olympic framework in Switzerland in 1906. These were very early days for international football, and the official history of FIFA describes the competition as having been unsuccessful. At the 1908 Summer Olympics in London , football became an official Olympic sport. Planned by The Football Association (FA), England's football governing body,

4100-654: The 1936 Summer Olympics , but was now overshadowed by the more prestigious World Cup. The issues facing the early World Cup tournaments were the difficulties of intercontinental travel, and war. Few South American teams were willing to travel to Europe for the 1934 World Cup and all North and South American nations except Brazil and Cuba boycotted the 1938 tournament. Brazil was the only South American team to compete in both. The 1942 and 1946 competitions, which Germany and Brazil sought to host, were cancelled due to World War II . The 1950 World Cup , held in Brazil ,

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4200-426: The 2002 edition , fourth-place medals were awarded to hosts South Korea . Before the 1978 tournament, medals were only awarded to the eleven players on the pitch at the end of the final and the third-place match. In November 2007, FIFA announced that all members of World Cup-winning squads between 1930 and 1974 were to be retroactively awarded winners' medals. Since 2006, winners of the competition are also awarded

4300-574: 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

4400-716: The Asian Football Confederation and the Confederation of African Football , two shared between CONCACAF and CONMEBOL , and a guaranteed place for the Oceania Football Confederation . Platini was clear about why he wanted to expand the World Cup. He said: "[The World Cup is] not based on the quality of the teams because you don't have the best 32 at the World Cup ;... but it's a good compromise. ... It's

4500-743: The Caribbean Football Union 's region a position in the World Cup. In the edition of 25 October 2013 of the FIFA Weekly Blatter wrote that: "From a purely sporting perspective, I would like to see globalisation finally taken seriously, and the African and Asian national associations accorded the status they deserve at the FIFA World Cup. It cannot be that the European and South American confederations lay claim to

4600-593: 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

4700-536: 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

4800-513: The FBI and the Swiss authorities admitted that he and the other members of FIFA's then-executive committee were bribed in order to promote the 1998 and 2010 World Cups. On 10 June 2015, Swiss authorities seized computer data from the offices of Sepp Blatter . The same day, FIFA postponed the bidding process for the 2026 FIFA World Cup in light of the allegations surrounding bribery in the awarding of

4900-694: The first World Cup in Uruguay, for example, led to only four European nations competing. The next two World Cups were both held in Europe. The decision to hold the second of these in France was disputed, as the South American countries understood that the location would alternate between the two continents. Both Argentina and Uruguay thus boycotted the 1938 FIFA World Cup . Since the 1958 FIFA World Cup , to avoid future boycotts or controversy, FIFA began

5000-453: The 2018 and 2022 tournaments. Then-secretary general Jérôme Valcke stated, "Due to the situation, I think it's nonsense to start any bidding process for the time being." On 28 October 2015, Blatter and FIFA VP Michel Platini, a potential candidate for presidency, were suspended for 90 days; both maintained their innocence in statements made to the news media. On 3 December 2015 two FIFA vice-presidents were arrested on suspicion of bribery in

5100-487: The World Cup, most recently Qatar , who hosted the 2022 event. The 2026 tournament will be jointly hosted by Canada, the United States and Mexico, which will give Mexico the distinction of being the first country to host games in three World Cups. The world's first international football match was a challenge match played in Glasgow in 1872 between Scotland and England . The first international tournament for nations,

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5200-446: 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

5300-540: 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

5400-410: The bottom side of the trophy bears the engraved year and name of each FIFA World Cup winner since 1974 . The description of the trophy by Gazzaniga was: "The lines spring out from the base, rising in spirals, stretching out to receive the world. From the remarkable dynamic tensions of the compact body of the sculpture rise the figures of two athletes at the stirring moment of victory." This new trophy

5500-435: 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

5600-510: The competition. Rimet eventually persuaded teams from Belgium , France , Romania , and Yugoslavia to make the trip. In total, 13 nations took part: seven from South America, four from Europe, and two from North America. The first two World Cup matches took place simultaneously on 13 July 1930, and were won by France and the United States , who defeated Mexico 4–1 and Belgium 3–0 respectively. The first goal in World Cup history

5700-581: 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

5800-707: The event was for amateur players only and was regarded suspiciously as a show rather than a competition. Great Britain (represented by the England national amateur football team ) won the gold medals . They repeated the feat at the 1912 Summer Olympics in Stockholm . With the Olympic event continuing to be a contest between amateur teams only, Sir Thomas Lipton organised the Sir Thomas Lipton Trophy tournament in Turin in 1909. The Lipton tournament

5900-419: The first defending champions to play qualifying matches. The final tournament format since 1998 has had 32 national teams competing over the course of a month in the host nations. There are two stages: the group stage, followed by the knockout stage. In the group stage, teams compete within eight groups of four teams each. Eight teams are seeded, including the hosts, with the other seeded teams selected using

6000-537: The host country of the inaugural World Cup tournament . The national associations of selected nations were invited to send a team, but the choice of Uruguay as a venue for the competition meant a long and costly trip across the Atlantic Ocean for European sides, especially in the midst of the Great Depression . As such, no European country pledged to send a team until two months before the start of

6100-450: The hosts of multiple future tournaments were announced at the same time, as was the case for the 2018 and 2022 World Cups , which were awarded to Russia and Qatar , with Qatar becoming the first Middle Eastern country to host the tournament. For the 2010 and 2014 World Cups, the final tournament was rotated between confederations, allowing only countries from the chosen confederation (Africa in 2010, South America in 2014) to bid to host

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6200-533: The inaugural British Home Championship , took place in 1884 and included games between England, Scotland, Wales , and Ireland . As football grew in popularity in other parts of the world at the start of the 20th century, it was held as a demonstration sport with no medals awarded at the 1900 and 1904 Summer Olympics ; however, the International Olympic Committee has retroactively upgraded their status to official events, as well as

6300-577: The majority of the berths at the World Cup." Those two remarks suggested to commentators that Blatter could be putting himself forward for re-election to the FIFA Presidency. Following the magazine's publication, Blatter's would-be opponent for the FIFA Presidency, UEFA President Michel Platini , responded that he intended to extend the World Cup to 40 national associations, increasing the number of participants by eight. Platini said that he would allocate an additional berth to UEFA , two each to

6400-400: The men's football tournament at the Olympics is not a top-level tournament, and since 1992, an under-23 tournament with each team allowed three over-age players. Women's football made its Olympic debut in 1996 . The FIFA Confederations Cup was a tournament held one year before the World Cup at the World Cup host nation(s) as a dress rehearsal for the upcoming World Cup. It is contested by

6500-403: 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

6600-446: The number of places awarded to each of the continental zones beforehand, generally based on the relative strength of the confederations' teams. The qualification process can start as early as almost three years before the final tournament and last over a two-year period. The formats of the qualification tournaments differ between confederations. Usually, one or two places are awarded to winners of intercontinental play-offs . For example,

6700-613: The plan but, in total, the idea is supported by 166 of the 210 member associations of FIFA. An equivalent tournament for women's football , the FIFA Women's World Cup , was first held in 1991 in China . The women's tournament is smaller in scale and profile than the men's, but is growing; the number of entrants for the 2007 tournament was 120, more than double that of 1991. Men's football has been included in every Summer Olympic Games except 1896 and 1932. Unlike many other sports,

6800-496: 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

6900-400: 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

7000-436: The previous two World Cups. Uruguay won the tournament again after defeating the host nation Brazil, in the match called " Maracanazo " (Portuguese: Maracanaço ). In the tournaments between 1934 and 1978 , 16 teams competed in each tournament, except in 1938, when Austria was absorbed into Germany after qualifying, leaving the tournament with 15 teams, and in 1950, when India , Scotland , and Turkey withdrew, leaving

7100-412: The quarter-finalists in 1994, 1998, 2006 and 2018 were all from Europe or South America and so were the finalists of all tournaments so far. Two hundred teams entered the 2002 FIFA World Cup qualification rounds. 198 nations attempted to qualify for the 2006 FIFA World Cup . A record 204 countries entered qualification for the 2010 FIFA World Cup . In October 2013, Sepp Blatter spoke of guaranteeing

7200-550: The right to wear the FIFA Champions Badge , up until the time at which the winner of the next competition is decided. Since the second World Cup in 1934 , qualifying tournaments have been held to thin the field for the final tournament. They are held within the six FIFA continental zones ( Africa , Asia , North and Central America and Caribbean , South America , Oceania , and Europe ), overseen by their respective confederations. For each tournament, FIFA decides

7300-406: 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,

7400-474: 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

7500-741: The same Zurich hotel where seven FIFA officials had been arrested in May. An additional 16 indictments by the US Department of Justice were announced on the same day. A biennial World Cup plan was first proposed by the Saudi Arabian Football Federation at the 71st FIFA Congress on 21 May 2021 and prominently backed by former Arsenal manager Arsène Wenger and national federations in Africa and Asia. Continental confederations such as UEFA and CONMEBOL are not on board with

7600-408: 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

7700-420: The second and third places. In such case, the ranking among these teams is determined by: The knockout stage is a single-elimination tournament in which teams play each other in one-off matches, with extra time and penalty shootouts used to decide the winner if necessary. It begins with the round of 16 (or the second round) in which the winner of each group plays against the runner-up of another group. This

7800-487: The sport's global governing body. The tournament has been held every four years since the inaugural tournament in 1930 , with the exception of 1942 and 1946 due to the Second World War . The reigning champions are Argentina , who won their third title at the 2022 tournament . The contest starts with the qualification phase , which takes place over the preceding three years to determine which teams qualify for

7900-608: 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}

8000-571: The thieves. After 1970, a new trophy, known as the FIFA World Cup Trophy , was designed. The experts of FIFA, coming from seven countries, evaluated the 53 presented models, finally opting for the work of the Italian designer Silvio Gazzaniga . The new trophy is 36 cm (14.2 in) high, made of solid 18 carat (75%) gold and weighs 6.175 kg (13.6 lb). The base contains two layers of semi-precious malachite while

8100-525: The top left corner by repeating the sequence of numbers from 1 up to n − 1 {\displaystyle n-1} . Here is an example table for 7 or 8 competitors: FIFA World Cup The FIFA World Cup , often called the World Cup , is an international association football competition among the senior men's national teams of the members of the Fédération Internationale de Football Association ( FIFA ),

8200-584: The tournament and returned in 1911 to successfully defend their title. Prior to the Lipton competition, from 1876 to 1904, games that were considered to be the " football world championship " were meetings between leading English and Scottish clubs, such as the 1895 game between Sunderland A.F.C. and the Heart of Midlothian F.C. , which Sunderland won. In 1914, FIFA agreed to recognise the Olympic tournament as

8300-426: The tournament phase. In the tournament phase, 32 teams compete for the title at venues within the host nation(s) over the course of about a month. The host nation(s) automatically qualify for the group stage of the tournament. The competition is scheduled to expand to 48 teams, starting with the 2026 tournament . As of the 2022 FIFA World Cup, 22 final tournaments have been held since the event's inception in 1930, and

8400-537: The tournament with 13 teams. Most of the participating nations were from Europe and South America, with a small minority from North America, Africa, Asia, and Oceania. These teams were usually defeated easily by the European and South American teams. Until 1982, the only teams from outside Europe and South America to advance out of the first round were: United States , semi-finalists in 1930; Cuba , quarter-finalists in 1938; North Korea , quarter-finalists in 1966 ; and Mexico , quarter-finalists in 1970 . The tournament

8500-401: The tournament. The rotation policy was introduced after the controversy surrounding Germany's victory over South Africa in the vote to host the 2006 tournament . However, the policy of continental rotation did not continue beyond 2014, so any country, except those belonging to confederations that hosted the two preceding tournaments, can apply as hosts for World Cups starting from 2018 . This

8600-435: 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

8700-451: 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

8800-551: The winner of the Oceanian zone and the fifth-placed team from the Asian zone entered a play-off for a spot in the 2010 World Cup . From the 1938 World Cup onwards, host nations receive automatic qualification to the final tournament. This right was also granted to the defending champions between 1938 and 2002, but was withdrawn from the 2006 FIFA World Cup onward, requiring the champions to qualify. Brazil , winners in 2002 , were

8900-777: The winners of each of the six FIFA confederation championships, along with the FIFA World Cup champion and the host country. The first edition took place in 1992 and the last edition was played in 2017 . In March 2019, FIFA confirmed that the tournament would no longer be active owing to an expansion of the FIFA Club World Cup in 2021. FIFA also organises international tournaments for youth football ( FIFA U-20 World Cup , FIFA U-17 World Cup , FIFA U-20 Women's World Cup , FIFA U-17 Women's World Cup ), club football ( FIFA Club World Cup ), and football variants such as futsal ( FIFA Futsal World Cup ) and beach soccer ( FIFA Beach Soccer World Cup ). The latter three do not have

9000-481: Was a 10-woman single-elimination tournament held from July 20 to August 3, 2003. The 2004 Japan Grand Prix was a 10-woman single-elimination tournament held on August 1, 2004. 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

9100-532: Was a 12-woman round-robin tournament held from July 14 to August 30, 1996. The 1997 Japan Grand Prix was a 12-woman round-robin tournament concluding on August 10, 1997. The 1998 Japan Grand Prix was a round-robin tournament consisting of two six-woman blocks, with the top three finishers from the Main League and the top finisher from the Junior League advancing to a single-elimination tournament. It

9200-457: Was a 19-woman single-elimination tournament held from June 25 to August 24, 1989. The 1990 Japan Grand Prix was a seven-woman single-elimination tournament concluding on June 17, 1990. The 1991 Japan Grand Prix was a 16-woman single-elimination tournament held from July 7 to August 18, 1991. The 1992 Japan Grand Prix was a round-robin tournament consisting of two 10-woman blocks, held from June 27 to August 30, 1992. The 1993 Japan Grand Prix

9300-579: Was a championship between individual clubs (not national teams) from different nations, each of which represented an entire nation. The competition is sometimes described as The First World Cup , and featured the most prestigious professional club sides from Italy, Germany and Switzerland, but the FA of England refused to be associated with the competition and declined the offer to send a professional team. Lipton invited West Auckland , an amateur side from County Durham , to represent England instead. West Auckland won

9400-467: Was a round-robin tournament consisting of two eight-woman blocks, with the top two finishers from each block advancing to a single-elimination tournament. It was held from May 3 to August 21, 1993. The 1994 Japan Grand Prix was a 10-woman round-robin tournament held from June 3 to August 28, 1994. The 1995 Japan Grand Prix was a 16-woman round-robin tournament, consisting of two eight-woman blocks, concluding on September 3, 1995. The 1996 Japan Grand Prix

9500-627: Was expanded to 24 teams in 1982 , and then to 32 in 1998 , allowing more teams from Africa, Asia and North America to take part. Since then, teams from these regions have enjoyed more success, with several having reached the quarter-finals: Mexico , quarter-finalists in 1986 ; Cameroon , quarter-finalists in 1990 ; South Korea , finishing in fourth place in 2002 ; Senegal , along with USA , both quarter-finalists in 2002; Ghana , quarter-finalists in 2010; Costa Rica , quarter-finalists in 2014; and Morocco , finishing in fourth place in 2022. European and South American teams continue to dominate, e.g.,

9600-471: Was held from June 14 to August 9, 1998. The 1999 Japan Grand Prix was a nine-woman round-robin tournament, with the second, third and fourth finishers advancing to a second round-robin. The winner of the second round-robin advanced to face the first-place finisher from the initial round-robin. The tournament was held from June 6 to August 15, 1999. The 2000 Japan Grand Prix was a nine-woman single-elimination tournament held from June 11 to August 20, 2000. Also

9700-586: Was scored by Lucien Laurent of France. In the final , Uruguay defeated Argentina 4–2 in front of 93,000 spectators in Montevideo , and became the first nation to win the World Cup. After the creation of the World Cup, FIFA and the IOC disagreed over the status of amateur players; football was dropped from the 1932 Summer Olympics . After the IOC and FIFA worked out their differences, Olympic football returned at

9800-423: Was the first occasion where consecutive World Cups were held outside Europe. The host country is now chosen in a vote by FIFA's Council. This is done under an exhaustive ballot system. The national football association of a country desiring to host the event receives a "Hosting Agreement" from FIFA, which explains the steps and requirements that are expected from a strong bid. The bidding association also receives

9900-431: Was the first to include British football associations. Scotland , England , Wales , and Northern Ireland had withdrawn from FIFA in 1920, partly out of unwillingness to play against the countries they had been at war with, and partly as a protest against foreign influence on football. The teams rejoined in 1946 following FIFA's invitation. The tournament also saw the return of 1930 champions Uruguay , who had boycotted

10000-665: Was the start of FIFA's professional era, and is the reason why Uruguay is allowed to wear 4 stars . Due to the success of the Olympic football tournaments, FIFA, with President Jules Rimet as the driving force, again started looking at staging its own international tournament outside of the Olympics. On 28 May 1928, the FIFA Congress in Amsterdam decided to stage a world championship. With Uruguay now two-time official football world champions and to celebrate their centenary of independence in 1930, FIFA named Uruguay as

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