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Ideal Values and Practical Values (part 3). More on the value of Chess pieces.[All Comments] [Add Comment or Rating]

Robert Shimmin wrote on Sun, Jul 20, 2003 12:54 PM UTC:

In response to Ralph's comment, I've done the forking power calculation
for a few more pieces.  The magic number is 0.67

Piece        Mobility     Forking     Total     % Fork
-------------------------------------------------------
Nightrider     7.82        29.53       9.09      14.0
Rook           7.72        29.23       8.97      14.0

One thing I've noticed (and should have expected) is that the 'forking
power' value is very close to being proportional to mobility squared. 
These pieces illustrate about the most variation I can create in FP for
'normal' pieces of about the same mobility.  Archangel is gryphon +
bishop.

Piece        Mobility     Forking     Total     % Fork
--------------------------------------------------------
Archangel      13.10       98.07      17.32       24.4
Queen          13.44       91.32      17.37       22.6
FAND           13.56       95.38      17.66       23.2

Clearly, these differences are too small to test.  So while we know there
is some superlinear dependence of value on mobility, we can't yet say
whether that is most related to forking power, multi-move mobility, or
what.