I suspect that it's not zero or one - just a hunch. My theory is that it asymptotically approaches some small value as the boards get larger and that value is probably attained pretty quickly, perhaps much less than 100x100 board size. Maybe even close to what we play on now.
It seems to me that having the first move and staking the first claim probably puts you in the drivers seat so to speak and is probably worth some fixed number of points on an arbitrarily large board and that advantage is magnified by smaller boards because a greater percentage of the points on smaller boards feel the additional influence. On Wed, Apr 7, 2010 at 9:51 AM, steve uurtamo <[email protected]> wrote: > it could flatten out at 1 or 0 (is there a reason why it cannot be > zero?). further, it could bounce around near two small values > depending upon the parity of the boardsize or other arithmetic > properties of the boardsize. > > s. > > On Wed, Apr 7, 2010 at 9:43 AM, 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. > > > > > > > > > > > > _______________________________________________ > > 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
