Round-robin tournament in the context of Best-of series

The men's ice hockey tournament at the 1924 Winter Olympics in Chamonix, France, was the second Olympic Championship, also serving as the second World Championships. The competition was held from Monday, January 28, 1924, to Sunday, February 3, 1924. Canada, represented by the Toronto Granites, defended its championship from the 1920 Summer Olympics. The United States and Great Britain took the silver and bronze respectively, while other contenders included Czechoslovakia, France, and Sweden.

The Bergvall system used in the 1920 Olympics was discarded in favor of a two-level round-robin tournament. Qualifying teams were placed in pools for the opening round, with the top two teams in each pool advancing to the final round. The medals were awarded based on the record in the final round. This format would remain in use until the 1992 Winter Olympics, when the final round-robin was replaced with a medal-round single-elimination tournament.

The UEFA Champions League (UCL), usually known simply as the Champions League, is an annual club association football competition organised by the Union of European Football Associations (UEFA) that is contested by top-division European clubs. The competition begins with a round robin league phase to qualify for the double-legged knockout rounds, and a single-leg final. It is the most-watched club competition in the world and the third most-watched football competition overall, behind only the FIFA World Cup and the UEFA European Championship. It is one of the most prestigious football tournaments in the world and the most prestigious club competition in European football, played by the national league champions (and, for some nations, one or more runners-up) of their national associations.

Introduced in 1955 as the European Champion Clubs' Cup (French: Coupe des Clubs Champions Européens), and commonly known as the European Cup, it was initially a straight knockout tournament open only to the champions of Europe's domestic leagues, with its winner reckoned as the European club champion. The competition took on its current name in 1992, adding a round-robin group stage in 1991 and allowing multiple entrants from certain countries since the 1997–98 season. While only the winners of many of Europe's national leagues can enter the competition, the top 5 leagues by coefficient provide four teams each by default, with a possibility for additional spots based on performance during the previous season. Clubs that finish below the qualifying spots are eligible for the second-tier UEFA Europa League competition, and since 2021, for the third-tier UEFA Conference League.

The Ice Hockey World Championships are an annual international men's ice hockey tournament organized by the International Ice Hockey Federation (IIHF), first officially held at the 1920 Summer Olympics. The IIHF was created in 1908 while the European Championships, the precursor to the World Championships, were first held in 1910. The tournament held at the 1920 Summer Olympics is recognized as the first Ice Hockey World Championship. From 1920 to 1968, the Olympic hockey tournament was also considered the World Championship for that year.

The first World Championship that was held as an individual event was in 1930 in which twelve nations participated. In 1931, ten teams played a series of round-robin format qualifying rounds to determine which nations participated in the medal round. Medals were awarded based on the final standings of the teams in the medal round. In 1951, thirteen nations took part and were split into two groups. The top seven teams (Pool A) played for the World Championship. The other six (Pool B) played for ranking purposes. This basic format would be used until 1992 (although small variations were made). During a congress in 1990, the IIHF introduced a playoff system. As the IIHF grew, more teams began to participate at the World Championships, so more pools (later renamed divisions) were introduced.

The 2010 FIFA World Cup was the 19th FIFA World Cup, the world championship for men's national football teams. It took place in South Africa from 11 June to 11 July 2010. The bidding process for hosting the tournament finals was open only to African nations. In 2004, the international football federation, FIFA, selected South Africa over Egypt and Morocco to become the first African nation to host the finals.

The matches were played in 10 stadiums in nine host cities around the country, with the opening and final played at the Soccer City stadium in South Africa's largest city, Johannesburg. Thirty-two teams were selected for participation via a worldwide qualification tournament that began in August 2007. In the first round of the tournament finals, the teams competed in round-robin groups of four teams for points, with the top two teams in each group proceeding. These 16 teams advanced to the knockout stage, where three rounds of play decided which teams would participate in the final.

A Condorcet winner (French: [kɔ̃dɔʁsɛ], English: /kɒndɔːrˈseɪ/) is a candidate who would receive the support of more than half of the electorate in a one-on-one race against any one of their opponents. Voting systems where a majority winner will always win are said to satisfy the Condorcet winner criterion. The Condorcet winner criterion extends the principle of majority rule to elections with multiple candidates.

Named after Nicolas de Condorcet, it is also called a majority winner, a majority-preferred candidate, a beats-all winner, or tournament winner (by analogy with round-robin tournaments). A Condorcet winner may not necessarily always exist in a given electorate: it is possible to have a rock paper scissors-style cycle, when multiple candidates defeat each other (rock < paper < scissors < rock). This is called Condorcet's voting paradox, and is analogous to the counterintuitive intransitive dice phenomenon known in probability. However, the Smith set, a generalization of the Condorcet criteria that is the smallest set of candidates that are pairwise unbeaten by every candidate outside of it, will always exist.

There are a number of formats used in various levels of competition in sports and games to determine an overall champion. Some of the most common are the single elimination, the best-of- series, the total points series more commonly known as on aggregate, and the round-robin tournament.

The Football League First Division was the top division of the Football League in England from 1888 until the end of the 1991–92 season, when its teams broke away to form the Premier League. From 1992 to 2004, the name First Division was given to what had previously been called the Second Division. After the 2003–04 season, the division was renamed the Football League Championship (now EFL Championship, with the division below it called EFL League One).

The First Division contained between 12 and 24 clubs, playing each other home and away in a double round robin. The competition was based on two points for a win from 1888 until the increase to three points for a win in 1981.

The following article gives a list of association football confederations, sub-confederations and associations around the world. The sport's international governing body is FIFA, but those associations not affiliated with FIFA are also included in this article.

Most European, African, and Asian countries have two principal competitions: a more prestigious league which is typically a double round-robin tournament restricted to the elite clubs, and a cup which is a single-elimination tournament open to both the elite and lesser clubs.

The 1960 Panamerican Championship was the third and final edition of the Panamerican Championship, an international football tournament featuring national teams from North, Central and South America. It was hosted in San José, Costa Rica, between March 6 and March 20, in 1960. All the matches were held at Estadio Nacional.

Four teams played in a double round-robin tournament, it was won by Argentina.