what may likely go to zero is (komi / number of points on board), since absolute first move advantage should go down.
right? s. On Wed, Apr 7, 2010 at 3:35 PM, Don Dailey <[email protected]> wrote: > > > 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 > > _______________________________________________ > Computer-go mailing list > [email protected] > http://dvandva.org/cgi-bin/mailman/listinfo/computer-go > _______________________________________________ Computer-go mailing list [email protected] http://dvandva.org/cgi-bin/mailman/listinfo/computer-go
