Friday 16 May, 2008

Away goals count as 1 + epsilon

Filed under: Sport

Last night I inquired of my brother whether away goals counted, during Leeds' crucial tie away at Carlisle. (The scores were poised at 2-2 on aggregate; Leeds had lost the home leg 2-1.)

His trite response was that away goals did count, my not having asked my question correctly. I wanted to know whether they carried any extra weight.

The concept of increasing the value of goals scored away is usually referred to as 'away goals count double'. In reality, this is wrong, as if taken literally, a team losing 4-3 on aggregate with all seven goals having been scored at the winners' home ground would be deemed victors, having won '6-4' because of the away goals' double value. In reality, away goals count for 1 + epsilon, where epsilon is a tiny number any multiple of which is never greater than 1 in the context of the game. Maybe epsilon could be set as 1/(total goals scored + 1) to avoid any possibility of this adversely affecting the outcome of the game.

(For completeness, Leeds went on to win 3-2 (or 5-4 if you'd prefer.)


Posted by dan at 2:50am | Permalink | Comments (2) | Trackbacks (0)
Comments

geez, dan. even i knew that away goals were more heavily weighted. :)

Posted by elise, 10:38pm, Friday 16 May 2008

But in this case they didn't carry any extra weight. ;)

Posted by Dan 4:54am, Saturday 17 May 2008
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