George Duke wrote on Tue, Mar 30, 2004 05:32 PM UTC:
Moises Sole asks about G Exchange Gradient in move equation. See my comment here
'To go with Depth-Clarity....' Heuristically, G is average of all the
possible ratio-pairings of piece values, King included. Informally: to avoid
'infinities,' put smaller value always on top, normalizing.
In specific case of Isis with piece values 1,2,3,4,8, it becomes: (1/2
+ 1/3 + 1/4 + 1/8 + 2/3 + 2/4 + 2/8 + 3/4 + 3/8 + 4/8)/(10) = 0.425.
Then (1-G) for right directionality with the other factors in #M equation
is 0.575. The first use of G, or (1-G), is to predict average number of
moves in a game-concept. This predicts closely game length for those tested so far:
M = 4(Z)(T)/(P)(1-G), where M #Moves, Z board size, T piece-type density,
P Power density, G Gradient as above.