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Subject: Re: wmccc tiebreak/pairing foul-up

Author: Andreas Mader

Date: 23:00:43 10/29/97

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On October 29, 1997 at 10:46:10, Robert Hyatt wrote:

>I was looking at the official rules to decide how to handle tie-breaks
>in the crosstable program I wrote.  And found an amusing problem that
>goes to show how little thought goes into some decisions that are made
>for these tournaments:
>
>from the rules:
>
>the first tie-break is the sum-of-opponent's scores.  Ok so far.
>
>the second tie-break, should the first tie-break still result in a
>tie is to use cumulative round-by-round scores.  And that won't be
>fair after accelerated pairings are used.  IE a weak program gets
>paired against weak opposition in the first round and can easily end
>up with +2.  A strong program can get paired with a stronger opponent
>in rounds 1 and two and end up with a zero.  At the end the weaker and
>stronger opponents are tied, and the cumulative score favors the weaker
>opponent because he won earlier rounds.  I think the cumulative round
>by round score is a pretty shoddy tie-break scheme anyway, as it rewards
>early wins over later wins, when the later wins are harder to come by.
>And with the accelerated pairings, it is not just shoddy, it is wrong.
>
>Another complaint for the complaint department...  :)

First I want to say that I am very satisfied with your "little" program
(how many lines of code and which language??). You did a very good job
by implementing the "Buchholz" value (I was wron when I said it was
"Sonneborn-Berger", but who cares... :-)).

The first tie-break should be "Buchholz" aka "sum-of-opponent's scores".

The second tie break should be "Sonneborn-Berger", I try to explain this
by means of an example....

Program A won against B and C, had a draw against D and lost against E.
"Buchhholz" = score (B) + score (C) + score (D) + score (E).
"Sonneborn-Berger" = score (B)*1 + score (C)*1 + score (D)*1/2 + score
(E)*0

Given the fact that they used accelerated pairings in the first rounds
the cumulative score as a tie-break is nonsense.

Best wishes
Andreas




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