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Subject: Re: Komputer Korner refutes alternative point scoring systems

Author: blass uri

Date: 00:49:12 10/22/98

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On October 21, 1998 at 23:57:40, Komputer Korner wrote:

>Presently there is a huge argument about alternative point scoring systems on
>the RGCC. The one that generated the hotly debated proposal was 3 points for a
>win and 1 point for a draw.  I mistakenly assumed that the proposal was for 1/2
>point for a draw. My original post on RGCC is copied below. However even if you
>substitute 1 point for the 1/2 point in the equations below, the advantage ratio
>of white will still be larger than under the present scoring system. For proff
>of that I repeat the equations below with the 1 point for a draw.
>White expects (3*0.31) + 1*0.50)= 1.43 points. Black expects (3*0.19) +
>(1*0.50)= 1.07 points. The white to black ratio becomes 1.336448 which is
>between the new ratio below (which mistakenly assumed 1/2 point for a draw)  and
>the old present rules ratio.

The probabilties are not right
I checked the ssdf games and I found something near 30% draws.
I do not know about 50% draws in low levels and you said that the proposal was
not about GM games


>
>
>"It will only increase the advantage of playing white which is already
>large enough.  White players enjoy a 56-44% advantage. Assuming 50% of
>games are draws (the advantage of playing white will be even more
>under your new system  if you assume less draws), this means that the
>spread is 50% draws, 31% white wins and 19% black wins. If you give  3
>points for a win and 0.5 points for a draw ,


> white's expected score
>will be now (3*0.31) + (0.5*0.50)  = 1.18 points every game.
>Black players will now expect (3*0.19) + (0.5*.50) = 0.82 points every game.

I do not agree because the players will play differently and the probabilities
can change to 40% for white and 27% for black

In this case white expected score:
3*0.40+1*0.23=1.43
black expected score
3*0.27+1*0.23=1.04

Uri





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