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Re: About brute force and knowledge...



Henrik Rydberg wrote:
>Also assume that we can evaluate the new board position exactly. Now assume
>we make a small change to the initial position, for instance by placing the
>last stone at some other point. Again assuming perfect play, we might
>now after a couple of moves end up in a completely different position, and
>in a completely different evaluation. The magnitude of the change in those
>two entities, summed over all possible adjustments to the initial position,
>would be the Luyapunov coefficients of the position, and the rate of
>change of the evaluation function, correspondingly. 
>....................................

An very interesting idea. How about try it out on a 3x3, 5x5, and 7x7 board.
Use final score as evaluation function. It would give some indication about
the state space. Also how it changes with increasing board size.


Dan Liu