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Derek Nalls wrote on Sun, May 11, 2008 10:05 PM UTC:
Before Scharnagl sent me three special versions of SMIRF MS-174c compiled
with the CRC material values of Scharnagl, Muller & Nalls, I began
playtesting something else that interested me using SMIRF MS-174b-O.

I am concerned that the material value of the rook (especially compared to
the queen) amongst CRC pieces in the Muller model is too low:

rook  55.88
queen  111.76

This means that 2 rooks exactly equal 1 queen in material value.

According to the Scharnagl model:

rook  55.71
queen  91.20

This means that 2 rooks have a material value (111.42) 22.17% greater than
1 queen.

According to the Nalls model:

rook  59.43
queen  103.05

This means that 2 rooks have a material value (118.86) 15.34% greater than
1 queen.

Essentially the Scharnagl & Nalls models are in agreement in predicting
victories in a CRC game for the player missing 1 queen yet possessing 2
rooks.  By contrast, the Muller model predicts draws (or appr. equal
number of victories and defeats) in a CRC game for either player.

I put this extraordinary claim to the test by playing 2 games at 10
minutes per move on an appropriately altered Embassy Chess setup with the
missing-1-queen player and the missing-2-rooks player each having a turn
at white and black.

The missing-2-rooks player lost both games and was always behind.  They
were not even long games at 40-60 moves.

Muller:

I think you need to moderately raise the material value of your rook in
CRC.  It is out of its proper relation with the other material values
within the set.

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