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Given the list of participants with seedings, how do I prepare the draw/fixtures? Is there a standard way of doing it or are there multiple variants?

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Do you have requirements beyond "I need a tournament"? This is not particularly related to sports if you don't tell us what sport, or what your requirements are. –  wax eagle Aug 27 '12 at 2:38
    
No, my requirement is just that I need a tournament. It can be any sport. –  Max Aug 27 '12 at 4:05
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Yeah I'd have to say that's off topic. –  wax eagle Aug 27 '12 at 12:08
    
It is applicable to multiple sports, why would it be off topic? –  Max Aug 27 '12 at 14:40
    
The problem is that is equally and as generically applicable to multiple games, tv shows, trivia contest and any other event where people compete. –  wax eagle Aug 27 '12 at 18:13
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closed as off topic by wax eagle, edmastermind29 Aug 31 '12 at 20:52

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1 Answer

up vote 3 down vote accepted

There are few ways to do this, it depends in the number of variants.

  1. Equality of tournament - If want all winning competitors to play the same number of matches at any stage. On Tennis tournament every player will play the same number of games at every stage. This is in opposed to FA cup or UEFA companionship league qualifications round where higher ranked competitor will play less than others (referred to as bye).
  2. Competitors per match - most of sports are 2 competitors per match but it can be different like in Poker tournament.
    On "Equal tournament", Assuming N competitors per match, the number of competitor need to be a power of N and there will be Log N NumberOfCompetitors rounds.
  3. Consolation stage - Some tournament has a second-change option e.g. Olympic Judo when a competitor loses on advanced rounds he gets second change throw consolation stage where he can still win bronze medal, It also exist in tournament that the third place is decided in a match between the semi-final losers.
  4. Re-seeding - Is there a Re-seeding after every round? e.g on NFL and NHL a Re-seeding occurs so the highest winning seed will be drawn against the lowest winning seed, the second-highest will meet the second-lowest, etc.
  5. Any other restrictions like (e.g competitor from the same state\league can't be drawn together)

Here are examples for several ways to determine seeded knockout features:

  • Regular Equal seeding tournament when the highest ranked competitor will be drawn against the lowest, the second-best against the second-worst and so on.
    The second round will face the winner between the highest ranked and the lower will play against the winner between the two medium ranked competitor, Take a look at the following example from Wiki:

    Basic tournament

  • NBA Playoffs - As above but two tournament that divided to East and West conference, The championship is determine in a final between two winners.

  • Grand-slam Tennis -

1st and 2nd seeds are placed in separate brackets, but then the 3 and 4 seeds are assigned to their brackets randomly, and so too are seeds 5 through 8, and so on. This may result in some brackets consisting of stronger players than other brackets, and since only the top 32 players are seeded at all in Tennis Grand Slam tournaments, it is conceivable that the 33rd-best player in a 128-player field could end up playing the top seed in the first round.

  • FA cup -

knockout tournament with pairings for each round drawn at random. There are no seeds and the draw for each round is not made until after the scheduled dates for the previous round. The draw also determines which teams will play at home. There are a total of 14 rounds in the competition — six qualifying rounds, followed by six further rounds (the "proper" rounds), semi-finals, and the final. The competition begins Extra Preliminary Round, followed by the Preliminary Round and First Qualifying Round, which are contested by the lowest-ranked clubs. Clubs playing in the Conference North and Conference South are given exemption to the Second Qualifying Round, and Conference National teams are given exemption to the Fourth Qualifying Round. The 32 winners from that round join the 48 clubs from League One and League Two in the First Round (often called the First Round Proper). Finally, teams from the Premier League and Football League Championship enter at the Third Round Proper, at which point there are 64 teams remaining in the competition.

Sources 1 2 3

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Maybe you want to add the principle of a bye? Where some teams are allowed to skip the first round. –  Bernhard Aug 27 '12 at 12:38
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