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Subject: King, rook pawn and wrong bishop endgames

Author: Dieter Buerssner

Date: 07:10:51 10/18/00


I am trying to find a relatively fool proof way, to detect, if
an endgame with a rook pawn (or a doubled rook pawn) and the wrong
bishop against a lonely king, is a draw. Ideally I would like an
algorithm, that only needs the loosing king square (perhaps the
winning king square), the pawn square and the side to move, and it
should detect, if this is a draw.

I tried so far, to only use the pawn square and the losing king
square. When the loosing king is closer to the corner, than the
pawn, it is a draw. When the distance is the same, the side to move
will be better. But this does not allways work. I think, it would be better, to
be certain of the draw, and in compilcated cases, that can not be decided, give
a small positive score to the bishop side. Have you any ideas about a simple
algorithm? Would it be different, when the rook pawn
is doubled? And when the losing side has a pawn, that say is not too advanced?

One nice example from Tarrasch "Das Schachspiel":

[D] 8/4k3/8/7P/4B3/5K2/8/8 w - - 0 1

White wins with 1.h6 Kf7 2.Bh7

Which programs, that have knowledge about this sort of endgame will
show a winning score without search and TBs? I tried this with
Crafty, and it shows a draw score up to depth 6. This is of course
problem in this game, because it only takes a fraction of a second
to reach depth 7, but it might be dangerous, when the position
is reached in the search.

Regards,
Dieter




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