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One way to handle pairings in Swiss style tournament
Posted By: Daniel Murphy In Response To: Wisconsin Backgammon Championship Tournament format (mtuhtan)
Date: Friday, 23 October 2009, at 3:24 a.m.
Manual pairings for a Swiss style tournament.
Before the first round, each player is randomly numbered. We'll call that a "Player number." You can use cards for this. Each players gets a card. Fill the cards out and stack them in order.
DBgF monrad (Swiss) cards are here:
http://www.dbgf.dk/download/4MonradKort.pdf
Explanation of card: (1) The top part has spaces for player's name and federation membership number. (2) The middle part contains a box for match length (not important), a reminder that the winner must turn in both cards to TD as soon as the match is complete, and a box for the randomly assigned player number. (3) The bottom part is where you keep track, for each round, of the player's opponent's number, the result of the match (either +1 or 0), and the player's cumulative score. There's also a space you can use to make a note of an unfinished match, and a space (which I never used) to record the player's standing in the tournament.
Example for 12 players:
Pretournament order: Player 1 Player 2 Player 3 Player 4 Player 5 Player 6 Player 7 Player 8 Player 9 Player 10 Player 11 Player 12
First round pairings: Player 1 vs Player 2 Player 3 vs Player 4 Player 5 vs Player 6 Player 7 vs Player 8 Player 9 vs Player 10 Player 11 vs Player 12 Hypothetical results of first round: Players 1, 4, 5, 7, 9 and 12 win. Record the results and restack the cards, first by cumulative score, and second by player number.
New order: Player 1 (+1) Player 4 (+1) Player 5 (+1) Player 7 (+1) Player 9 (+1) Player 12 (+1) Player 2 (+0) Player 3 (+0) Player 6 (+0) Player 8 (+0) Player 10 (+0) Player 11 (+0).
Second round pairings: Player 1 vs Player 4 Player 5 vs Player 7 Player 9 vs Player 12 Player 2 vs Player 3 Player 6 vs Player 8 Player 10 vs Player 11 Hypothetical results of second round: Players 4, 5 9, 3, 6 and 11 win.
New order: Player 4 (+2) Player 5 (+2) Player 9 (+2) Player 1 (+1) Player 7 (+1) Player 11 (+1). Player 12 (+1) Player 3 (+1) Player 6 (+1) Player 2 (+0) Player 8 (+0) Player 10 (+0)
Third round pairings: Player 4 vs Player 5 Player 9 vs Player 1 Player 7 vs Player 11 Player 12 vs Player 3 Player 6 vs Player 2 Player 8 vs Player 10 Hypothetical results of third round: Players 4, 9, 7, 3, 2 and 10 win.
New order: Player 4 (+3) Player 9 (+3) Player 3 (+2) Player 5 (+2) Player 7 (+2) Player 1 (+1) Player 2 (+1) Player 6 (+1) Player 10 (+1) Player 11 (+1). Player 12 (+1) Player 8 (+0)
Fourth round pairings: Player 4 vs Player 9 Player 3 vs Player 5 Player 7 vs Player 1 Player 2 vs Player 10 -- 2 and 6 have already played, so 2 plays 10, the next player in the stack Player 6 vs Player 11 -- and 6 plays 11 Player 12 vs Player 8 Hypothetical results of fourth round: Players 9,. 3, 1, 2, 11, 10 win.
New order: Player 9 (+4) Player 3 (+3) Player 4 (+3) Player 1 (+2) Player 2 (+2) Player 5 (+2) Player 7 (+2) Player 10 (+2) Player 11 (+2). Player 6 (+1) Player 12 (+1) Player 8 (+0)
Fifth round pairings: Player 9 vs Player 3 Player 4 vs Player 2 -- 4 has already played 1, so 4 plays 2 instead Player 1 vs Player 5 -- and 1 plays 5 Player 7 vs Player 10 Player 11 vs Player 8 -- 11 has already played 6 and has also played 12, so 11 plays 8 Player 6 vs Player 12 -- which leaves 6 to play 12 I'm going to stop there. You get the idea. The player cards are always reordered after each round first by cumulative score and second by player number. And then pairings are made by pairing the first and second cards, the third and fourth cards, and so on. But if the order calls for A and B to play, and they have already played each other, then A is matched instead against the next player in the stack that A has not yet played.
Re-ordering to avoid rematches of players in the top or in the middle of the stack is always easy. But as the tournament progresses, it may be necessary to reorder several matches at the bottom of the stack to prevent rematches (or to prevent a player from receiving more than one bye, if there is an odd number of players). That can be tedious, but is still possible to do in a consistent way, by re-doing the bottom-most pairing that ensures that no one remaining in the stack plays the same player twice.
You can also use the cards to handle pairings that must be done when some matches have not yet been finished, if your schedule requires that be done. Simply award both players of an unfinished match 1/2 point for that round, temporarily. Adjust the score for that round and cumulative scores for those players when the match is complete.
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