2010/4/7 Erik van der Werf <[email protected]>:
> On Wed, Apr 7, 2010 at 3:43 PM, Brian Sheppard <[email protected]> wrote:
>>>decreases with board size
>>
>> Since the game-theoretic value is a small positive integer, I don't think it
>> can decrease with
>>
>> increasing board size.
>
> What I meant is that it tends to start with full-board wins on tiny
> boards (up to max 28 points as far as I know) and then decreases for
> larger boards. E.g, 9 on 7x7, 7 on 9x9, and maybe 5 on 19x19.

I think the big komi is an anomaly with very small boards, where white
player can't even live.:

1x1 : Draw, because no legal move (or losing points allowing suicide)
2x2 : Draw, both with super ko rule or simple ko.
3x3 : B+8 (japanese rules, chinese B+9)
4x4 : Dificult, but I think is a draw with japanese rules
5x5 : B+24 (japanese, B+25 chinese)
6x6 : Probably white can live and black wins but less than 24 points

Bigger than 6x6 looks like 8 or 9 is near correct komi for odd boards
(7x7, 9x9, 13x13, 19x19 etc.), but I suspect it will increase very slowly for
bigger boards (much bigger than 19x19).

I believe that small boards are not representative, because odd numbers
are much better for black than even numbers, and because when white
can hardly live, the bigger the board the bigger the territory black can
take.

Five points of komi on 19x19 looks extremely low, more in the 7-10 range.

Andrés
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