101-770: The Campeonato Nacional de Liga de Primera División , commonly known as the Primera División or La Liga and is officially known as LaLiga EA Sports since 2023 because of sponsorship reasons, is the top men's professional football division of the Spanish football league system . It is controlled by the Liga Nacional de Fútbol Profesional and it is contested by 20 teams over a 38-matchday period. Since its inception, 62 teams have competed in La Liga. Nine teams have been crowned champions, with Barcelona winning
202-463: 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
303-507: A La Liga and Copa del Generalísimo double in 1943 and won the Cup again in 1944 , 1945 and 1950 , in addition to an Copa Eva Duarte (official predecessor of the Supercopa ). Sevilla also enjoyed a brief golden era, finishing as runners-up in 1940 and 1942 before winning their only title to date in 1946. Meanwhile, on the other side of Spain, Barcelona began to emerge as a force under
404-402: A back-to-back Liga/Copa Del Rey double, something that had not been achieved since the 1950s. Real Madrid brought back the La Liga title under the management of Zinedine Zidane in 2016–17, but Barcelona won the title again in the 2017–18 season, as well as winning their eighth double, for seven La Liga titles in ten years. Barcelona retained the title yet again and won their 26th La Liga title in
505-464: 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
606-411: 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
707-477: 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,
808-571: A hegemony in Spain not seen since the Real Madrid of the 1960s–70s. Since the start of the new century, Barcelona won ten La Ligas, including two trebles and four doubles . This new century however has also seen new challengers being crowned champions. Between 1999–2000 and 2004, Deportivo La Coruña finished in the top three on five occasions, a better record than either Real Madrid or Barcelona, and in 2000, under Javier Irureta , Deportivo became
909-457: A knockout competition. Only three of the founding clubs (Real Madrid, Barcelona, and Athletic Bilbao) have never been relegated from the Primera División . Although Barcelona won the first Liga in 1929 and Ricardo Zamora 's Real Madrid won their first titles in 1932 and 1933 , it was Athletic Bilbao that set the early pace winning La Liga in 1930 , 1931 , 1934 and 1936 (in addition to four Copa trophies), and they also achieved
1010-489: 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
1111-611: A place during the 1939–40 season as a replacement for Real Oviedo , whose ground had been damaged during the war. The club subsequently won its first Liga title and retained it in 1941 . While other clubs lost players to exile, execution, and as casualties of the war, the Atlético team was reinforced by a merger. The young, pre-war squad of Valencia had also remained intact and in the post-war years matured into champions, gaining three Liga titles in 1942 , 1944 , and 1947 . They were also runners-up in 1948 and 1949 . Athletic Bilbao
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#17328016114431212-451: A player still active in La Liga. Italics indicates a player still active outside La Liga. Boldface indicates a player still active in La Liga. Italics indicates a player still active outside La Liga. Spanish football league system The Spanish football league system consists of several professional, semi-professional and non-professional leagues bound together hierarchically by promotion and relegation . The top two tiers of
1313-402: A record 100 points, a record 121 goals scored and a record +89 goal difference. The following year, in the 2012–13 season, Barcelona won yet another La Liga title under coach Tito Vilanova , replicating the 100 points record Real Madrid achieved the previous year. Atlético Madrid, under the management of Diego Simeone , won their tenth La Liga title in 2013–14, their first since 1996. They became
1414-437: 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
1515-497: 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
1616-421: A row from 1961 to 1965 as well as winning three doubles between 1960 and 1980. During the 1960s and 1970s, only Atlético Madrid offered Real Madrid any serious challenge. Atlético Madrid were crowned La Liga champions four times in 1966, 1970, 1973, and 1977. Atlético Madrid also finished second place in 1961, 1963, and 1965. In 1971, Valencia won their fourth La Liga title in 1971 under Alfredo Di Stéfano , and
1717-540: 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
1818-634: A semi-finals appearance in 2003–04 . During the 2005–06 European season, La Liga became the first league to have its clubs win both the Champions League and UEFA Cup since 1997, as Barcelona won the UEFA Champions League and Sevilla won the UEFA Cup . This feat was repeated four times in five seasons: during the 2013–14 season Real Madrid won their tenth Champions League title and Sevilla won their third Europa League , during
1919-619: 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
2020-526: 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
2121-416: 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
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#17328016114432222-571: 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),
2323-558: 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 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
2424-516: Is a complete record of how many teams played in each season throughout the league's history; If points are equal between two or more clubs, the rules are: The top four teams in La Liga qualify for the subsequent season's UEFA Champions League group stage. The winners of the UEFA Champions League and UEFA Europa League also qualify for the subsequent season's UEFA Champions League group stage. The fifth place team in La Liga and
2525-613: 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,
2626-695: Is also the seventh wealthiest professional sports league in the world by revenue , after the NFL , MLB , the NBA , the Premier League , the NHL , and the Bundesliga . From 2008 to 2016, it was sponsored by Banco Bilbao Vizcaya Argentaria and known as Liga BBVA . Then, from 2016 to 2023, it was sponsored by Banco Santander and known as LaLiga Santander . Since 2023, it has been sponsored by Electronic Arts and
2727-435: 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
2828-471: Is commonly known as LaLiga Hypermotion for sponsorship reasons. Level League 1 Liga F (finetwork Liga F) 16 teams 2 Primera Federación 14 teams 3 Segunda Federación 32 teams divided into 2 groups 4 Primera Nacional 6 groups, 14 teams each 5 Regional leagues Level League 1 División de Honor (7 groups) 2 Round-robin tournament A round-robin tournament or all-play-all tournament
2929-482: Is dependent upon the position a country holds in the UEFA country coefficients , which are calculated based upon the performance of teams in UEFA competitions in the previous five years. As of the end of the 2023–24 season, the ranking of Spain (and de facto La Liga) is second. In April 1928, José María Acha, a director at Arenas de Getxo , first proposed the idea of a national league in Spain. After much debate about
3030-691: 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
3131-566: 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 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
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3232-1054: 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
3333-419: Is known as LaLiga EA Sports . The competition format follows the usual double round-robin format. During the course of a season, which lasts from August to May, each club plays every other club twice, once at home and once away, for 38 matches. Teams receive three points for a win, one point for a draw, and no points for a loss. Teams are ranked by total points, with the highest-ranked club crowned champion at
3434-456: Is now rarely done. A round-robin tournament with four players 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
3535-599: Is operated by the RFEF and 17 regional federations corresponding to each of the autonomous communities of Spain (there are 18 groups – Andalusia is divided into two due to its size). Prior to 2021, this was known as the Tercera División and was the fourth level, but had the same format. In 2020–21 the division also had an atypical form of 36 local subgroups followed by a total of 50 subgroups to allocate promotion, playoff, and relegation places. From level 6, each of
3636-408: 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
3737-603: Is the second highest level in the Spanish football league system and is also operated by the Liga Nacional de Fútbol Profesional. The Royal Spanish Football Federation ( RFEF ) created a new tier to begin in the 2021–22 season placed between the Segunda División and the former Segunda División B which had been created in 1977. The federation officially named the third tier, containing two regionalised groups,
3838-534: The Primera Federación . Below the new Primera División RFEF sits the fourth tier, the Segunda Federación , roughly corresponding to the format of Segunda B, other than that the new format has five regionalized groups. In contrast, the old system contained only four, other than in its final season, 2020–21 , unique both due to the transition into the new system and complications caused by
3939-630: The 2015–16 season . Additional awards relating to La Liga are distributed, some not sanctioned by the Liga de Futbol Profesional or RFEF and therefore not regarded as official. The most notable of these are four awarded by Spain's largest sports paper, Marca , namely the Pichichi Trophy , awarded to the top scorer of the season; the Ricardo Zamora Trophy , for the goalkeeper with the fewest goals allowed per game (minimum 28 games);
4040-574: 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
4141-857: The ACP countries —countries in Africa, the Caribbean, and the Pacific that are signatories to the Cotonou Agreement —are not counted against non-EU quotas due to the Kolpak ruling . Until the 2008–09 season, no official individual awards existed in La Liga. In the 2008–09 season, the governing body created the LFP Awards (now called La Liga Awards), awarded each season to individual players and coaches. The majority of these awards were discontinued after
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4242-665: The Alfredo Di Stéfano Trophy , for the player judged to be the best overall player in the division; and the Zarra Trophy , for the top scorer among Spanish domestic players. Since the 2013–14 season, La Liga has also bestowed the monthly manager of the month and player of the month awards. The first La Liga player to be involved in a transfer which broke the world record was Luis Suárez in 1961, who moved from Barcelona to Inter Milan for £152,000 (£4.3 million in 2023). 12 years later, Johan Cruyff
4343-521: The COVID-19 pandemic in Spain which led to more teams being included and a complicated format involving 10 localized leagues half the size of the usual groups, followed by 15 sections to determine which teams would go into the second, third, fourth and fifth levels. Following the reorganization, the Tercera Federación is the fifth highest level in the Spanish football league system and
4444-478: The Camp Nou , and with the talents of Luís Figo , Luis Enrique , and Rivaldo , Barcelona won the La Liga title in 1998 and 1999, including their fourth double of Liga and Copa Del Rey in 1998. All in all, Barcelona won six La Liga titles in the 1990s. The 21st century continued the success Barcelona had in the 1990s under Johan Cruyff, dominating La Liga. Although Real Madrid had been prominent, Barcelona created
4545-606: 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
4646-536: 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
4747-606: 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
4848-1140: The Johan Cruyff -inspired Barcelona won their ninth La Liga in 1974. Real Madrid's monopoly in La Liga was interrupted significantly in the 1980s. Although Real Madrid won another five La Liga titles from 1986 to 1990 under the brilliance of Emilio Butragueño and Hugo Sánchez , the Basque clubs of Real Sociedad and Athletic Bilbao also dominated the 1980s. Real Sociedad won their first La Liga titles in 1981 and 1982; Luis Arconada , Roberto López Ufarte and Txiki Begiristain stood out from this team. Later, Athletic Bilbao also managed to win two consecutive La Liga titles in 1983 and 1984, also achieving their fifth La Liga and Copa del Rey double in 1984; The stars Andoni Zubizarreta , Santi Urkiaga , Andoni Goikoetxea , Dani , Manuel Sarabia and Estanislao Argote made this success possible. For its part, Barcelona won their tenth La Liga title in 1985 under coach Terry Venables , their first La Liga win since 1974. Johan Cruyff returned to Barcelona as manager in 1988, and assembled
4949-695: The Spanish Civil War . In 1937, the teams in the Republican area of Spain, with the notable exception of the two Madrid clubs, competed in the Mediterranean League and Barcelona emerged as champions. Seventy years later, on 28 September 2007, Barcelona requested the Royal Spanish Football Federation (Spanish acronym RFEF) to recognise that title as a Liga title. This action was taken after RFEF
5050-419: The 1930s through the 1950s there were strict limits imposed on foreign players. In most cases, clubs could have only three foreign players in their squads, meaning that at least eight local players had to play in every game. During the 1950s, however, these rules were circumvented by Real Madrid who naturalised Alfredo Di Stéfano and Ferenc Puskás . Di Stéfano, Puskás, Raymond Kopa and Francisco Gento formed
5151-635: The 1950s continued the success FC Barcelona had during the late 1940s. During this decade, FC Barcelona's first golden era emerged under coach Ferdinand Daučík , winning back-to-back La Liga and Copa Del Rey doubles in 1951–52 and 1952–53 . In 1952, FC Barcelona made history yet again by winning five distinctive trophies in one year. This team, composed of László Kubala , Mariano Gonzalvo , César Rodríguez Álvarez , and Joan Segarra , won La Liga, Copa Del Rey, Copa Eva Duarte (predecessor of Spanish Super Cup), Latin Cup and Copa Martini & Rossi. Their success in winning five trophies in one year earned them
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#17328016114435252-660: The 1960s and 1970s, Real Madrid dominated La Liga, winning fourteen titles, with Atlético Madrid winning four. During the 1980s and 1990s Real Madrid were prominent in La Liga, but the Basque clubs of Athletic Bilbao and Real Sociedad had their share of success, each winning two Liga titles. From the 1990s onward, Barcelona has dominated La Liga, winning seventeen titles to date. Although Real Madrid has also been prominent, winning eleven titles, La Liga has also seen other champions, including Valencia and Deportivo La Coruña . According to UEFA 's league coefficient rankings, La Liga
5353-475: The 2005–06 season. In 2009–10, Real Madrid achieved a record 96 points but still finished behind Barcelona, who amassed 99 points. Barcelona then won a third straight La Liga title in the 2010–11 season with 96 points to Real's 92, but Real Madrid ended their winning streak in the 2011–12 season under the management of José Mourinho and with the likes of Cristiano Ronaldo , Ángel Di María , Mesut Özil and Karim Benzema . Madrid won their 32nd La Liga title with
5454-473: The 2014–15 season Barcelona won their fifth Champions League title and Sevilla won their fourth Europa League , during the 2015–16 season Real Madrid won their eleventh Champions League title and Sevilla won their fifth Europa League (becoming the first team to win the title three times in a row), and during the 2017–18 season Real Madrid won their thirteenth Champions League title and Atlético Madrid won their third Europa League . In 2015, La Liga became
5555-421: The 2018–19 season, for eight La Liga titles in eleven years. Real Madrid reclaimed the title in 2019–20, winning the season that was severely disrupted by the COVID-19 pandemic . The 2020–21 season started on 12 September, and was won by Atletico Madrid, with Real Madrid as runners-up. In August 2021, La Liga clubs approved a €2.7 billion deal to sell 10% of the league to CVC Capital Partners . The 2021–22 season
5656-463: The 2023-24 season and for the following four seasons. Following the flash floods disaster that hit Spain at the end of October, claiming the lives of over 200 people, the Spanish league postponed all matches scheduled to be played in the Valencian region on Thursday. The games played after the floods opened in a moment of silence. 20 teams already contest the league in its current season, including
5757-628: The RFEF's 19 regional federations runs its regional league pyramid under its own jurisdiction. Level League(s)/Division(s) 1 Primera División (LaLiga EA Sports) 20 teams 2 Segunda División (LaLiga Hypermotion) 22 teams 3 Primera Federación 40 clubs divided into 2 groups 4 Segunda Federación 90 clubs divided into 5 groups 5 Tercera Federación 324 clubs divided into 18 groups 6 1st Regional Division 7 2nd Regional Division 8 3rd Regional Division 9 4th Regional Division 10 5th Regional Division From 1929 to 1940
5858-618: The Spanish pyramid was similar to the Brazilian system, with two simultaneous and independent pyramids, the national pyramid, and the regional pyramid. The Primera and Segunda was founded by the Royal Spanish Football Association , but since 1984 is operated by the Liga Nacional de Fútbol Profesional . Since 2023 the Primera División is commonly known as LaLiga EA Sports and the Segunda División
5959-507: The Year awards (12). La Liga is one of the most popular professional sports leagues globally, with an average attendance of 26,933 for league matches in the 2018–19 season. This is the eighth-highest of any domestic professional sports league in the world and the third-highest of any professional association football league in the world, behind fellow big five leagues Bundesliga and Premier League , and above Serie A and Ligue 1 . La Liga
6060-446: 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
6161-540: 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
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#17328016114436262-400: The biggest win in La Liga history by beating Barcelona 12-1; This team, coached by Fred Pentland , is known by the nickname First historic squad , notably forming an attacking partnership with Bata , Guillermo Gorostiza , José Iraragorri , Chirri II and Lafuente . In 1935 , Real Betis , then known as Betis Balompié , won their only title to date. Primera División was suspended during
6363-434: The century in 2001 and 2003. With world-class players like Raúl , Ruud van Nistelrooy and Gonzalo Higuaín , Real Madrid won back-to-back La Liga titles in 2006–07 and 2007–08. Barcelona won their first title of the new century after Real Madrid and Valencia had shared the last four titles under the brilliance of Ronaldinho and Samuel Eto'o in the 2004–05 season. Barcelona retained the title to make it back-to-back wins in
6464-435: 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
6565-541: The end of the season. A system of promotion and relegation exists between the Primera División and the Segunda División . The three lowest placed teams in La Liga are relegated to the Segunda División , and the top two teams from the Segunda División promoted to La Liga, with an additional club promoted after a series of play-offs involving the third, fourth, fifth and sixth placed clubs. Below
6666-577: The first league to enter five teams in the Champions League group stage , with Barcelona, Real Madrid, Atlético Madrid and Valencia qualifying via their league position and Sevilla qualifying by virtue of their victory in the Europa League , courtesy of a rule change. In La Liga in 2020, each club is allowed five non-EU players but are only allowed to name three non-EU players in each matchday squad. Players can claim citizenship from
6767-402: The first team since Valencia in 2004 to win La Liga and break Barcelona and Real Madrid's dominion over the league. In the 2014–15 season, under the trio of Messi , Neymar , and Suarez nicknamed 'MSN', Barcelona made history by becoming the first team to achieve a second Treble, and winning a sixth Liga/Copa Del Rey double. Barcelona continued their dominance, and in the 2015–16 season they won
6868-404: The inaugural La Liga and Real Madrid winning the title a record 36 times. Real Madrid are also the most recent winners, having won the 2023–24 edition . During the 1940s Valencia , Atlético Madrid and Barcelona were emerged as the strongest clubs, winning several titles. Real Madrid and Barcelona dominated the championship in the 1950s, each winning four La Liga titles during the decade. During
6969-408: The last six world transfer records have been set by Real Madrid, signing Luís Figo , Zinedine Zidane , Cristiano Ronaldo (plus a deal for Kaká days before Ronaldo which fell just below a world record due to the way the fee was calculated) and finally Gareth Bale , who was bought in 2013 for £85.3m (€103.4m or $ 140m at the time; £123.5m in 2023) from Tottenham Hotspur . Brazilian forward Neymar
7070-420: The late 1940s, winning back to back La Liga titles in 1948 and 1949 . The 1940s proved to be a successful season for Barcelona, winning three La Liga titles and one Copa Del Rey, but the 1950s proved to be a decade of dominance, not just from Barcelona, but from Real Madrid . Although Atlético Madrid, previously known as ''Atlético Aviación'', were champions in 1950 and 1951 under mastermind Helenio Herrera ,
7171-569: The legendary Dream Team . When Cruyff took control of his Barcelona side, they had won only two La Liga titles in the past 20 years. Cruyff decided to build a team composed of international stars and La Masia graduates in order to restore Barcelona to their former glory days. This team was formed by international stars Romario , Michael Laudrup , Hristo Stoichkov and Ronald Koeman . Cruyff's Dream Team also consisted of La Masia graduates Pep Guardiola , Albert Ferrer and Guillermo Amor , as well as Basque Andoni Zubizarreta . Johan Cruyff changed
7272-515: The legendary Josep Samitier . A Spanish footballer for both Barcelona and Real Madrid, Samitier cemented his legacy with Barcelona. During his playing career with Barcelona he scored 133 goals, won the inaugural La Liga title and five Copa Del Rey . In 1944, Samitier returned to Barcelona as a coach and guided them in winning their second La Liga title in 1945 . Under Samitier and legendary players César Rodríguez , Josep Escolà , Estanislau Basora and Mariano Gonzalvo , Barcelona dominated La Liga in
7373-407: The male league pyramid — Primera División ( a.k.a. La Liga) and Segunda División ( a.k.a. La Liga 2) — are administered by the Liga Nacional de Fútbol Profesional , a sports association with independent legal status from the Royal Spanish Football Federation (RFEF), the governing body of football in Spain. Conversely, the top tiers of the women's pyramid ( Liga F ), second and third tier of
7474-403: 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
7575-541: The name 'L’equip de les cinc Copes' or The Team of the Five Cups. In the latter parts of the 1950s, coached by Helenio Herrera and featuring Luis Suárez , Barcelona won yet again back-to-back La Liga's, winning them in 1959 and 1960 . In 1959, Barcelona also won another double of La Liga / Copa Del Rey, conquering three doubles in the 1950s. The 1950s also saw the beginning of the Real Madrid dominance. During
7676-456: The nation their ancestors came from. If a player does not have European ancestry, he can claim Spanish citizenship after playing in Spain for five years. Sometimes, this can lead to a triple-citizenship situation; for example, Leo Franco , who was born in Argentina, is of Italian heritage yet can claim a Spanish passport, having played in La Liga for over five years. In addition, players from
7777-509: The ninth team to be crowned champions. Valencia were one of the strongest teams in Europe in the early to mid 2000s; they were crowned La Liga champions in 2002 and 2004 under Rafael Benítez , whilst also being runners-up in the UEFA Champions League in 2000 and 2001 under Hector Cuper and winning the UEFA Cup in 2004 and the Copa del Rey in 1999. Real Madrid won their first Liga titles of
7878-592: The nucleus of the Real Madrid team that dominated the second half of the 1950s. Real Madrid won their third La Liga in 1954 — their first since 1933 — and retained their title in 1955. In 1956, Athletic Bilbao won their sixth La Liga title, but Real Madrid won La Liga again in 1957 and 1958. All in all, Barcelona and Real Madrid won four La Liga titles each in the 1950s, with Atlético Madrid winning two and Athletic Bilbao winning one during this decade. Real Madrid dominated La Liga between 1960 and 1980, being crowned champions 14 times. Real Madrid won five La Liga titles in
7979-496: 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
8080-400: 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
8181-404: The record was broken by his protégé Pep Guardiola two decades later. Barcelona's run ended with Real Madrid winning La Liga in 1995. Atlético Madrid won their ninth La Liga title in 1996, as well as their only Liga/Copa Del Rey double, before Real Madrid added another league title to their cabinet in 1997. After the success of Cruyff, another Dutchman – Ajax manager, Louis van Gaal – arrived at
8282-406: 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,
8383-525: 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
8484-408: 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
8585-533: The size of the league and who would take part, the Real Federación Española de Fútbol eventually agreed on the ten teams who would form the first Primera División in 1929 . Arenas, Barcelona , Real Madrid , Athletic Bilbao , Real Sociedad and Real Unión were all selected as previous winners of the Copa del Rey . Atlético Madrid , Espanyol and Europa qualified as Copa del Rey runners-up and Racing de Santander qualified through
8686-453: The system. The RFEF allows reserve teams to compete in the main league system, as is the case in most European domestic leagues. However, reserve teams are not allowed to compete in the same tier as their senior team, and no reserve team has thus competed in the top flight. La Liga is the highest level in the Spanish football league system and is operated by the Liga Nacional de Fútbol Profesional . Segunda División, also called La Liga 2
8787-608: 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}
8888-595: The top 17 sides from the 2023–24 season and three promoted from the 2023–24 Segunda División . Leganés and Real Valladolid were promoted directly, and Espanyol won the promotion play-off . The Primera División is currently third in the UEFA rankings of European leagues based on their performances in European competitions over a five-year period, behind England's Premier League and Italy's Serie A , but ahead of Germany's Bundesliga and France's Ligue 1 . Real Madrid, Barcelona and Atlético Madrid have been in
8989-430: The top club in 10 of the 11 seasons between 2009 and 2019; each of these pinnacles was achieved by either Barcelona or Real Madrid. La Liga clubs have won the most UEFA Champions League (20), UEFA Europa League (14), UEFA Super Cup (16) and FIFA Club World Cup (8) titles, and its players have accumulated the highest number of Ballon d'Or awards (24), The Best FIFA Men's Player awards (19) and UEFA Men's Player of
9090-457: The top ten most successful clubs in European football in terms of total European trophies. These three clubs, along with Sevilla and Valencia, are the only Spanish clubs to have won five or more international trophies. Deportivo La Coruña are the joint fifth-most participating Spanish team in the Champions League with Sevilla — after Real Madrid, Barcelona, Valencia and Atlético Madrid — with five consecutive Champions League appearances, including
9191-435: 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
9292-451: 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
9393-458: The way modern football was played, and incorporated the principles of Total Football into this team. The success of possession-based football was revolutionary, and Cruyff's team won their first European Cup in 1992 and four consecutive La Liga titles between 1991 and 1994. In total, Cruyff won eleven trophies in eight years, making him the most successful manager in Barcelona's history, until
9494-503: The winner of the Copa del Rey also qualify for the subsequent season's UEFA Europa League group stage. However, if the winner also finished in the top five places in La Liga, then this place reverts to the team that finished sixth in La Liga. Furthermore, the sixth place (or seventh if sixth already qualifies due to the Copa del Rey ) team qualifies for the subsequent season's UEFA Conference League play-off round. The number of places allocated to Spanish clubs in UEFA competitions
9595-420: The women's pyramid, ( Primera Federación and Segunda Federación ) are administered by the RFEF. The lower tiers (6th and below for the men's pyramid; 5th and below for the female one) are run by the regional federations. In addition to clubs from Spain, and under the purview of the additional provision 17 of the 1990 Law of Sport, Andorran clubs affiliated to a Spanish regional federation are allowed to compete in
9696-415: Was asked to recognise Levante 's Copa de la España Libre win as equivalent to Copa del Rey trophy. Nevertheless, the governing body of Spanish football has not made an outright decision yet. When the Primera División resumed after the Spanish Civil War , it was Atlético Aviación (nowadays Atlético Madrid ), Valencia , and Barcelona that emerged as the strongest clubs. Atlético were only awarded
9797-532: Was one of the clubs most affected by the war, since many of its players (sympathizers of the Republican faction ) went into exile in Latin America and very few returned. But thanks to a search for young talents, they managed to form the well-known Second historic squad made up of Rafael Iriondo , Venancio Pérez , José Luis Panizo , Agustín Gaínza and the mythical scorer Telmo Zarra (Spanish top scorer in La Liga history, among other records). They won
9898-419: Was the first player to join a club in La Liga for a record fee of £922,000 (£14.1 million in 2023), when he moved from Ajax to Barcelona. In 1982, Barcelona again set the record by signing Diego Maradona from Boca Juniors for £5 million (£22 million in 2023). Real Betis set the world record in 1998 when they signed Denílson from São Paulo for £21.5 million (£47.8 million in 2023). Four of
9999-567: Was the subject of an expensive and complicated transfer arrangement when he joined Barcelona from Santos in 2013, and his outgoing transfer to Paris Saint-Germain in 2017 set a new world record fee at €222m via his buyout clause . Barcelona soon invested a large amount of the money received from this transfer in a replacement, Ousmane Dembélé , whose deal – €105m – was the second most expensive ever before Philippe Coutinho 's transfer to Barcelona for €142m in January 2018. Boldface indicates
10100-402: Was the top league in Europe in each of the seven years from 2013 to 2019 (calculated using accumulated figures from five preceding seasons) and led Europe for 22 of the 60 ranked years up to 2019, more than any other country. It also has produced the continent's top-rated club more times (22) than any other league in that period, more than double that of second-placed Serie A (Italy), including
10201-490: Was won by Real Madrid with four games to spare, while the 2022–23 season was won by Barcelona with four games to spare. In 2023, La Liga rebranded itself with a new logo and new sponsor. EA ( Electronic Arts ) replaced the Spanish financial services giant Santander that was the title sponsor of the league for seven years. LaLiga EA Sports and LaLiga Hypermotion are the names of the Primera and Segunda Divisions, starting in
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