Posted 2010-February-19, 12:04
Swiss works wonderfully as a sorting algorithm - but only for the extreme ends. Not perfectly accurately, true, but for "on the day".
If you run N rounds for 2^N pairs (in WIN/LOSS), you'll get a top team and a bottom team. Top team wins. You can't say with any certainty at all who's second, however. Overswiss a round, and you get #2. Another round, you get 3 and 4.
However, if you leave the sorted-out pairs in the swissing, you muck up the results (especially if you enforce a no-playback rule). So you need to remove the winner and last place from the game after N rounds, and the next pair after N+1, ... Nobody's going to go for that.
So we overswiss and leave the polluting pairs in the mix; the "fair" movement is damaged. It's damaged more (in a purely theoretical sense) by VPs (although that removes the "single-elimination" feel of a pure W/L swiss), more yet by non-duplicated boards, and so on...all of which works to the advantage of the pairs that aren't the best. You know, N-1/N% of the paying customers?
Curling bonspiels do a couple of interesting formats - either N games guaranteed (for 3: A (winners), B (lost first match), C (lost second match, irrelevant of what happened in 1), producing an A winner, a B winner, and a C winner) or N-ple knockout (where when you lose the first match, you drop into B, when you lose in B, you drop into C.) Notice how both of these require the A winner to play fewer (frequently much fewer) games than the C winner (in curling, this is considered a plus from the A winner's perspective - more drinking time).
(Note: qualifiers, unlike bonspiels, tend to work as a full-RR into Page playoffs: 1v2, 3v4; winner of 3v4 plays loser of 1v2 for the right to play the 1v2 winner in the final. To determine a "best team", this actually works very well; you have to have the "win the big games and against the fishes" skill to lead the RR because being 1 or 2 is a distinct advantage (two wins v three, can lose the first one if you come back to beat them on the revenge), but you still have to win two or three big games to win the event. It only works with prequalifiers, though, as the size of the RR has to be limited).
But all of that theory is irrelevant in Real Life. In Real Life, people like Swiss events because they like playing against people of their level (and swissing does do a good job of "bucketing" skill levels fairly quickly), and because of match awards. Swiss pairs has the added benefit that you don't have to find teammates you're willing to play with all day - I'm surprised it hasn't just exploded here (I guess BKOs will still award more monsterpoints, and the one-session swisses, well you have a team already; and Sunday will never change. Oh well). Also, the fact that it's a poor method of determining the winner is a plus for the 3rd-6th (or so) teams, who have a good chance of winning (and a good chance of being 10th, but still).
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