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54-588: It is an official tournament to be organized by a football federation member of the CONMEBOL (in this case the Venezuelan federation ), in addition to which it had continuity for several years. Although the South American Football Confederation endorsed it at the time, is not included in the list of competitions organised by the entity as they are not the direct organisers of the tournament, however,

108-463: 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

162-464: 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

216-411: 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

270-477: 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,

324-991: 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

378-661: A los equipos participantes a enviar equipos en forma para este certamen y ello incide negativamente en la calidad del evento. It is very difficult for the Simon Bolivar Cup to survive. Nobody wants to bear the high costs involved. In addition, there is nothing that forces the participating teams to send teams in form for this event and this has a negative impact on the quality of the event. CONMEBOL The South American Football Confederation ( Spanish : Con federación Suda me ricana de Fút bol ; Portuguese : Con federação Sul-A me ricana de Fute bol ), known by

432-484: 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

486-437: 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

540-497: 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

594-540: 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

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648-619: 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

702-521: 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

756-416: 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

810-499: 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),

864-613: 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,

918-435: 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

972-729: Is an annual match between the past year's winners of the Copa Libertadores and the winners of the Copa Sudamericana (previously the winners of the Supercopa Libertadores) and came into being in 1989. The Intercontinental Cup was jointly organized with UEFA between the Copa Libertadores and the UEFA Champions League winners. Last updated: 9 January 2022 Last updated on: 12 March 2019 – [1] Men's update: 31 January 2022. For each tournament,

1026-503: 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

1080-691: 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

1134-1054: 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

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1188-692: Is the Copa América , which started in 1916. The Copa America is the only continental competition in which teams from a totally different continent and confederation can be invited to participate. CONMEBOL usually selects and invites a couple of teams from the AFC or CONCACAF to participate in the Copa America. Japan and Qatar were invited to participate in the 2019 edition of the Copa America. CONMEBOL also runs national competitions at Under-20 , Under-17 and Under-15 levels. For women's national teams, CONMEBOL operates

1242-478: 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

1296-408: 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

1350-560: 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

1404-578: The Copa América Femenina for senior national sides, as well as Under-20 and Under-17 championships. In futsal , there is the Copa América de Futsal and Campeonato Sudamericano de Futsal Sub-20 . The Campeonato Sudamericano Femenino de Futsal is the women's equivalent to the men's tournament. CONMEBOL also runs the two main club competitions in South America: the Copa Libertadores

1458-629: The Copa Latina , Copa Mitropa , or the Copa de Ferias were played that were not organized by UEFA and were also considered official competitions at the time, although these are endorsed by FIFA. The titles list is led by six teams belonging to three federations, while the teams of the Colombian federation lead the list by winning federations with three titles, followed by the Peruvian federation with two titles and

1512-630: 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

1566-520: 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

1620-548: The "Caribbean" rimlands. With ten member nations, CONMEBOL is the smallest and the only fully continental land-based FIFA confederation (no insular countries or associates from different continents). As of 14 September 2021 There are sovereign states or dependencies in South America which are not affiliated with CONMEBOL but are members of other confederations or do not have affiliation with any other confederations at all. The main competition for men's national teams

1674-480: The CONMEBOL President Juan Ángel Napout was also arrested. 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

Copa Simón Bolívar (Venezuela) - Misplaced Pages Continue

1728-788: The Venezuelan federation with a single title. The tournament began in 1970 on the initiative of the Venezuelan Football Federation and initially counting on the support and participation of the Colombian clubs affiliated to the Colombian Football Major Division , the governing body of the Colombian league and which even created previous qualification systems to the tournament in the first three editions only included clubs from Colombia and Venezuela , from 1975 representatives of Peru joined, Bolivia and Ecuador ;

1782-584: The acronym CONMEBOL ( / ˈ k ɒ n m ɪ b ɒ l / KON -mib-ol ) or CSF , is the continental governing body of football in South America and it is one of FIFA 's six continental confederations. The oldest continental confederation in the world, its headquarters are located in Luque , Paraguay. CONMEBOL is responsible for the organization and governance of South American football's major international tournaments. With 10 member football associations, it has

1836-446: 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

1890-535: 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

1944-713: The centenary of the Argentine Declaration of Independence . The four participating associations of that tournament gathered in Buenos Aires in order to officially create a governing body to facilitate the organization of the tournament. Thus, CONMEBOL was founded on 9 July 1916 under the initiative of Uruguayan Héctor Rivadavia Gómez , but approved by the football associations of Argentina , Brazil , Chile and Uruguay . The first Constitutional Congress on 15 December of that same year, which took place in Montevideo , ratified

1998-435: 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

2052-520: The competition was very important for the time and was cited by various sports media as a relevant international title, so much so that the president of the entity at the time, Teófilo Salinas, officially delivered the cup. It was not organized by CONMEBOL or FIFA , similar to the case of the old River Plate tournaments such as the Copa Aldao , which is also considered official. Other examples are in Europe where

2106-600: The decision. Over the years, the other football associations in South America joined, with the last being Venezuela in 1952. Guyana , Suriname and the French overseas department of French Guiana , while geographically in South America, are not part of CONMEBOL. Consisting of a former British territory, a former Dutch territory and a French territory, they are part of the Confederation of North, Central American and Caribbean Association Football (CONCACAF) , mainly due to historical, cultural, and sporting reasons as members of

2160-456: The fewest members of all the confederations in FIFA. CONMEBOL national teams have won ten FIFA World Cups (Brazil five, Argentina three and Uruguay two) and CONMEBOL clubs have won 22 Intercontinental Cups and four FIFA Club World Cups . Argentina, Brazil and Uruguay have won two Olympic gold medals each. The World Cup qualifiers of CONMEBOL have been described as the "toughest qualifiers in

2214-572: The flag of the host country and the number of teams in each finals tournament (in brackets) are shown. On 27 May 2015, several CONMEBOL leaders were arrested in Zürich, Switzerland by Swiss police and indicted by the U.S. Department of Justice on charges of corruption, money laundering, and racketeering. Those swept up in the operation include former CONMEBOL presidents Eugenio Figueredo and Nicolás Léoz and several football federations presidents such as Carlos Chávez and Sergio Jadue . On 3 December 2015,

Copa Simón Bolívar (Venezuela) - Misplaced Pages Continue

2268-403: 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

2322-496: 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

2376-400: 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

2430-406: 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,

2484-474: 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

2538-408: 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

2592-603: 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}

2646-526: The tournament was discontinued in 1976 for calendar and economic reasons. It is recognized as a predecessor of the Copa Merconorte that was played by these same countries of northern South America . The reasons for the disappearance of the event were written by journalist José Visconti, for the newspaper El Nacional: Es muy difícil que la Copa Simón Bolívar sobreviva. Nadie quiere cargar con los elevados costos que supone. Además, no hay nada que obligue

2700-435: 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

2754-451: 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

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2808-512: The world" for their simple round-robin system, entry of some of the top national teams in the world, leveling of the weaker national teams, climate and geographic conditions, strong home stands and passionate supporters. Juan Ángel Napout (Paraguay) was the president of CONMEBOL until 3 December 2015 when he was arrested in a raid in Switzerland as part of the U.S. Justice Department's bribery case involving FIFA . Wilmar Valdez (Uruguay)

2862-648: Was first held in 1960 and the Copa Sudamericana was launched by CONMEBOL in 2002 as an indirect successor to the Supercopa Libertadores (begun in 1988). A third competition, the Copa CONMEBOL , started in 1992 and was abolished in 1999. In women's football, CONMEBOL also conducts the Copa Libertadores Femenina for club teams. The competition was first held in 2009. The Recopa Sudamericana

2916-459: Was interim president until 26 January 2016 when Alejandro Domínguez (Paraguay) was elected president. The Vice presidents are Ramón Jesurún (Colombia), Laureano González (Venezuela) and Arturo Salah (Chile). In 1916, the first edition of the "Campeonato Sudamericano de Fútbol" (South-American Football Championship), later known as the " Copa América ", was contested in Argentina to commemorate

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