On Fri, 2007-04-06 at 13:48 +0100, Jacques BasaldĂșa wrote:
> Darren Cook wrote:
> 
>  > All except joseki-knowledge is board-size independent.
> 
> Maybe human player's adapt to different board sizes without
> even noticing. But if you try to model strategy with algorithms
> it is totally board size dependent.

Doesn't that just imply the model is incorrect?   If the model
captures the true spirit of the game, it shouldn't matter.

In practice things often work differently.  We choose approximations
that are not strictly correct and it may work well for us on a certain
board.  

As far as a joseki is concerned, that is not science so I suppose
you would be correct if that's what you are refering to.   

There may be some formal (but likely complex) way to describe a
correct opening play strategy on any size board that is not 
board-size dependent.    I'll try to give an example:

  On small boards, it seems like it's correct to play to the 
  center point on the first move?   Why?   The rule: always
  play to the center point might NOT be a board size independent
  strategy but might work well for boards smaller than say 11x11.
  But if you could capture the REASON for this,  you might be
  able to formulate a better strategy for playing the first 
  move that would work on all boards.  

There are underlying reasons for everything and that is what must
be captured to achieve a boardsize independent strategy.

Of course I'm getting rather theoretical.  I understand that you
are looking for practical solutions and approximations.

- Don


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