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Buypoint Chess. Buy your fighting force - each piece costs a number of points.[All Comments] [Add Comment or Rating]
H. G. Muller wrote on Wed, Feb 13, 2013 11:01 AM UTC:
Averaging mobility over the board is not a very accurate method, because in a real game pieces tend to seek out squares where their mobility is high.

What is an "unchained Bishop", btw?

It should be easy to measure the value of R2. It should be lower than WD, which I found to be only slightly less valuable than Knight. But I should redo that measurement with "Pair-o-Max", as the original one was done with the regular version of Fairy-Max, which was not aware of mating potential.

As to non-linearity: for short-range leapers with N moves I found the approximate empirical formula N*(30+5/8*N) centi-Pawn. So the non-linearity does not seem extremely large, and a piece with 24 targets is only ~1.5 times more valuable as 6 times a piece with 4 targets.

I never succeeded in measuring the value of Bison, because indeed the initial positions I tried were not tactically quiet. The mildly blockable version of Bison (the multi-path Falcon) was very close to Rook in value. Perhaps I should try Shogi/Makruk-like starting positions (all Pawns on 3rd / 6th rank); later I found this to work great for measuring Grasshoppers.