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Subject: Re: How to evaluate endgames when one side has no pawns?

Author: Roberto Waldteufel

Date: 15:31:21 11/05/98

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On November 05, 1998 at 09:47:34, Andrew Dados wrote:

>     Suppose somewhere deep in the search I get reduction to B vs 2P ending...
>what value
>should I assign to it? Side with Bishop can't win - so draw for side with 2P at
>minimum...


Be careful with this. In the vast majority of cases this is true: a lone minor
piece cannot deliver mate to a bare king on an open board even with the
opponent's cooperation, but give the opponent even as much as a single pawn and
a mate becomes possible because the pawn can block the king's last escape
square, eg BK h8, BP h7, WK g6 and now either a White knight on f7 or a White
bishop on any of a1,b2.....g7 would be mate. If you prematurely categorise the
position as "at least a draw for the pawn" you could miss such a mate in the
search. Since a full width search can throw up some weird positions, you never
know when one of these odd exceptions might occur. It's probably too rare to
matter very much, but you should be aware of the fallability of the underlying
logic. It's the exceptions to the rules that can cause problems, and
unfortunately most "chess knowledge rules" have exceptions which are sometimes
not easily predicted. It might be safer to only apply the "minimum draw" rule at
the tips, so you can still outsearch the exceptions. Otherwise, if you want to
use the draw score for a cutoff in the main search, you could try to extend the
rule to cover the exceptional cases, eg if the king of the side with the pawns
is not on the edge of the board, or not, or if the two kings are widely
separated, then I think it is safe to say it's at least a draw even in the main
search.

Best wishes, Roberto

>If I assign  2 *P value then my program will sac Knight for Pawn in
>B+P vs N+2P...rarely sensible .    What should my eval return in B vs P and B vs
>2P ?
>
>  Andrew  .....(I better get those tablebases working :)



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