>> 2x2 : Draw, both with super ko rule or simple ko.

B+1 under area rules and superko.

>> 4x4 : Dificult, but I think is a draw with japanese rules

B+2 under area rules and superko.

>> 6x6 : Probably white can live and black wins but less than 24 points

B+4 under area rules and superko.

>> 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.
>
> It would not surprise me if the value that I believe it asymptotically
> approaches is not that low - for instance it may be something like 7-10 for
> 19x19 but perhaps it will never drop much below that even on 1019x1019
> boards.

I doubt that komi converges. There will be a liminf (i would guess
between 5 and 7)
and a limsup (i would guess between 7 and 9), and i'm pretty sure
liminf < limsup...
They may also depends on the rules. And for Japanese rules, they may not even be
well defined, since players have to avoid triple ko to get a result,
so perfect komi
is not necessarily defined for every boardsize.

regards,
-John
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