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Derek Nalls wrote on Fri, Nov 7, 2008 06:46 AM UTC:
Upon closer consideration, I have decided to cancel 3 out of the 4 planned
playtests using Joker80 running under Winboard F to play Embassy Chess
(mirror).  The reason is that I suspect they are probably untestable
conclusively within an achievable amount of time and number of games since
differences of less than 5% in value between the CRC pieces under study are
expected.  Obviously, 'untestable playtests' are oxymorons indicative of
a total waste of CPU time.

Please allow me to show the numbers behind my thinking based upon the
present CRC piece values models of Nalls & Muller.  

[Unfortunately, I no longer regard the CRC model of Scharnagl as being
sufficiently refined in compliance with experimental results to yield
accurate, predictive values.]
_____________________________

playtest #1
Embassy Chess (mirror)
1 queen missing vs. 2 rooks missing

Nalls

rook    59.43
queen  115.18

2 rooks / 1 queen = 1.0319

Muller

rook    55.88
queen  111.76

2 rooks / 1 queen = 1.0000
__________________________

average
(Nalls & Muller)

2 rooks / 1 queen = 1.0160

Conclusion- untestable!
_______________________

playtest #2
Embassy Chess (mirror)
1 archbishop missing vs. 1 rook + 1 bishop missing

Nalls

bishop       37.56
rook         59.43
archbishop   98.22

1 rook + 1 bishop / 1 archbishop = 0.9875

Muller

bishop       45.88 
rook         55.88
archbishop  102.94

1 rook + 1 bishop / 1 archbishop = 0.9885
__________________________________________

average
(Nalls & Muller)

1 rook + 1 bishop / 1 archbishop = 0.9880

Conclusion- untestable!
_______________________

playtest #3
Embassy Chess (mirror)
1 chancellor missing vs. 1 rook + 1 bishop missing

Nalls

bishop       37.56
rook         59.43
chancellor  101.48

1 rook + 1 bishop / 1 chancellor = 0.9558

Muller

bishop       45.88 
rook         55.88
chancellor  105.88

1 rook + 1 bishop / 1 chancellor = 0.9611
__________________________________________

average
(Nalls & Muller)

1 rook + 1 bishop / 1 chancellor = 0.9585

Conclusion- untestable!
________________________

playtest #4
Embassy Chess (mirror)
1 archbishop missing vs. 1 rook + 1 knight missing

Nalls

knight       30.77
rook         59.43
archbishop   98.22

1 rook + 1 knight / 1 archbishop = 0.9183

Muller

knight       35.29
rook         55.88
archbishop  102.94

1 rook + 1 knight / 1 archbishop = 0.8857
__________________________________________

average
(Nalls & Muller)

1 rook + 1 knight / 1 archbishop = 0.9020

Conclusion- testable!
______________________

Thus, I will begin playtest #4 very soon.

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