2010/4/7 Andrés Domínguez <[email protected]> > 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. >
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. Don > > Andrés > _______________________________________________ > Computer-go mailing list > [email protected] > http://dvandva.org/cgi-bin/mailman/listinfo/computer-go >
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