SOP

    Keywords: Rules, Tournament

SOP could stand for suposition, or sum of positions it is similiar but slightly distinct from SOS. Its calculation is not supported by any known tournament directing programs. Its worth has not been proven, but I see no reason why it is any worse than its fellows. It is rather laborious to calculate by hand!

Theory

SOP is designed to give a measure of who has played with the hardest opponents in acheiving a certain score. It is calculated at the end of the tournament.

Calculation

At the end of the tournament the participants are arranged according to their MMS. We then consider the list of opponents to determine a SOP by which to seperate ties.

  • If the opponent is in nth place he contributes 1/n to the SOP
  • If you have 3 people sitting in 3rd place then you add (1+1+1)/(3+4+5) to the SOP, note the next position is 6th place in this instance.
  • Adam played the 3rd 4th and 5th placed finishers, his SOP is 1/3 + 1/4 + 1/5 which means his SOP is 47/60

Example showing SOS not equal to SOP

Linked as it's hell to illustrate it on SL

[ext] SOP

Again note, SOP is hellish to calculate by hand. So if you spot any errors tell me. From the table you can see that 5th and 4th places are different according to SOS and SOP, but 3rd is identical. This is only one example of course ;-) I personally have no idea how to show it is preferable to SOS, but equally I know of no reason to say it is inferior.


This is a copy of the living page "SOP" at Sensei's Library.
(OC) 2007 the Authors, published under the OpenContent License V1.0.
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