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re:Is a crowned bishop (moves like B or K) as powerful as a roo - 2006/02/09 22:21
Hi Harold. I wouldn't say it was a determination, rather I just got a first indication. I hacked the non-variant chess program published by Zillions for their gaming system (<http://www.zillions-of-games.com> by turning all four bishops into crowned bishops. I then used the facility of that program to estimate the point-value of each piece. For example, at the starting position it gives the pawn on a2 a value of 1853 points, and the pawn on e2 a value of 1867. There is little variation for pieces of the same type. Taking the mean for crowned bishops and dividing by the mean for pawns gave a figure of 4.6, and taking the mean for rooks and dividing by the mean for pawns gave a figure of
4.9. So according to this software, the crowned bishop is worth 0.3 pawns more than a rook in the starting position. I also played a few games against the program, and let the program play itself too.
In a couple of games the program readily exchanged a rook for a crowned bishop, without incurring any disadvantage, and my overall feeling was that the crowned bishop was no weaker than a rook.
This combined wazir-fers is sometimes called a counsellor, man, non-royal king, or prince in variant chess. Not sure of the answer though..
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