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Hans Aberg wrote on Wed, Apr 23, 2008 02:57 PM EDT:
H.G.Muller:
| I set up a tactically dead A+5P vs R+N+6P position (
| http://home.hccnet.nl/h.g.muller/BotG08G/KA5PKRN6P.gif ), and let it
| play a couple of hundred times to see who had the advantage. Turns out
| the position was well balanced.

This might be the way to go, because the standard exchange is equal pieces. The next step is a refinement: 'if I exchanged my R for a B, what do I need to keep a balance?' - something like 2 Pawns. The piece value system probably cannot predict well the balance in more complicated unequal exchange positions, but humans would probably try to avoid them, and they do not arise naturally, at least in human play.

So if an A is exchanged for a C, what is needed to keep the generic end game balance? And so forth. With a list of balanced combination, perhaps a reliable piece value system can be constructed. It would then only apply to the examined exchange combinations.

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