[Welcome to Sensei's Library!]

StartingPoints
ReferenceSection
About


Referenced by
SOS
SOSOS
MaximumLikelihood
SODOS

 

Tie breaker
    Keywords: Tournament

(please describe)

See SOS, SOSOS.

I have also seen SODOS (Sum of defeated opponents' score).


These days, when computers are routinely used for pairing tournaments - more sophisticated methods are available. These are called Maximum Likelihood or ML methods.

barry

My own preferred option was given in a set of Hints for Tournament Organisers, many years ago;

The tie-break order should be Nigiri, SODOS, SOS.

TMark?


Anonymous: Speaking of tiebreakers, isn't it incorrect to take the arithmetic mean of schedule strength? Shouldn't it be the geometric mean? You should calculate the estimated probability of losing each game, and multiply them together. For example, two players play the exact same opponents, except the second plays an extra game against a weak player (with the other getting a bye). The opponent strength should be equal, but average strength favors the player with one fewer game. Or consider each player plays two games, where one player plays a top pro and a beginner; the other plays two intermediate players. Who had the tougher opponents? This problem is particularly notable in college football, where teams play a different number of games and different opponents.



This is a copy of the living page "Tie breaker" at Sensei's Library.
(OC) 2003 the Authors, published under the OpenContent License V1.0.