> Date: Sun, 13 Mar 2005 19:17:22 -0800 (PST) > From: Alex Small > Subject: RE: [EM] Round Robins
> Say we have a round robin tournament > between soccer teams from USC, UCLA, and UCSB. Say that USC beats UCLA > 2-1, UCLA beats UCSB 4-1, and UCSB beats USC 2-0. > Who would be declared the winner of that round robin and advance to the > next level of competition? For each team, the winning margins versus the other teams are added up, with losses being denoted by a negative winning margin. The team with highest net total (known as "goal difference" in soccer) is the winner. In this case UCLA is the winner because: UCLA +2 = -1 + 3 UCSB -1 = -3 + 2 USC -1 = +1 - 2 For team sports in general, I think the best analogy is "recursive" Copeland. For any teams who are given the same Copeland score, Copeland is then run again on the tied teams. However, soccer or ice/field hockey don't use Copeland. Instead, a number of points are given for wins and a lower number of points for ties. Nevertheless, soccer and hockey fans should easily understand Copeland. Thanks, Gervase. ---- Election-methods mailing list - see http://electorama.com/em for list info