##
Life Is Not That Simple

Picking a number just because it gives the result you want is merely
a way of lying with numbers. There's more to a piece's value than
just its mobility.
For example, what about the Queen? The Queen is worth as much as a
Rook, a Bishop, and a Pawn combined, but the "Average with
Probability" figures will always err by showing the Queen as exactly
equal to Rook plus Bishop.

We know that the Bishop must be ( at least potentially ) worth less
than its mobility shows, because the Bishop is confined to squares
of one color -- half the squares on the board it can never get to at
all!

Could it be that the reason the Queen is worth more than Rook plus
Bishop is that the Queen is NOT confined to one color?

Could it be that having two pieces instead of one gives the enemy
more targets to attack?

Could it be that the Queen is more valuable because she moves in 8
different directions, and therefore the Queen may, in a single move,
attack 6 squares that she did not previously attack ( a Rook or
Bishop can only attack 2 new squares ).

Could it matter that the Queen can attack 3 new squares FORWARDS but
the R or B can only attack 1?

Could it be that ALL of these causes contribute, in varying amounts,
to the superiority of the Q over the separate Rook and Bishop?

Yes, it could. :-)

[November 1996] I should mention that my *opinion* is that forward
forking power is the most important factor.

##
And In Closing, May I Say

Now we're getting closer; but we're still a long way from being able
to decide how much, for example, to subtract from the Alfil because
it can only see one-eighth of the board, a long way from deciding
how much more powerful is the King than the separate Wazir and Ferz,
and nowhere near being able to calculate the true values of the
Chancellor or KnightRider.

In order to try to assign reasonable numbers to some of the effects
listed above, it would be helpful to have a better idea of the correct
values of the basic set of unknown pieces -- Wazir, Ferz, Dabbaba,
Alfil, and KnightRider.

Hey, wait! Isn't that what I want to calculate? Am I saying that I
need the answers before I can figure out how to derive them?

Not exactly; there are millions of possible chess pieces, we know a
little bit about the values of half a dozen of them, and I'm saying
it would help to know more about another few in order to find out
how to calculate the millions and millions that remain....

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