Isaac Deutsch wrote:
I ran some tests with 500k games each and came to this result:

with komi 0.5, white has 47.5 winn. perc.
with komi 1.5, white has 50.7 winn. perc.
with komi 2.5, white has 50.9 winn. perc.
with komi 3.5, white has 54.0 winn. perc.
with komi 4.5, white has 53.8 winn. perc.  <---------- ?
with komi 5.5, white has 57.3 winn. perc.
with komi 6.5, white has 57.1 winn. perc. <--------- ?
with komi 7.5, white has 60.3 winn. perc.
with komi 8.5, white has 60.3 winn. perc.
with komi 9.5, white has 63.1 winn. perc.
with komi 10.5, white has 63.1 winn. perc.
with komi 11.5, white has 65.9 winn. perc.

The percentage is mostly according to komi, with 2 exceptions.

If your playouts don't score seki, then komi = 2n + 1.5 and komi = 2n + 2.5 are equivalent. So you should get the same winn. perc. for 1.5 and 2.5. Ditto for 3.5 and 4.5, etc.

That's because White Score + Black Score = 81, so Black Score - WhiteScore = 81 - 2 * WhiteScore is always odd.

Rémi

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