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

Author: Bruce Moreland

Date: 00:40:27 11/06/98

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On November 05, 1998 at 21:57:22, Andrew Dados wrote:

>
>On November 05, 1998 at 21:32:44, Robert Hyatt wrote:
>
>>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... 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 :)
>>
>>
>>simple answer:  if one side can't win, set the upper bound on the score
>>for that side to 0.  Then, when you trade into a B vs pp ending, you simply
>>say (assuming B=white) score=Min(score,0);  Then you let the two pawns possibly
>>drag the score < 0, but you are sure you don't let the B pull the score above
>>zero.
>>
>>In my eval, I recognize two cases:  white can't win and black can't win.  And
>>I limit the score so that if white can't win, the score will *never* go above
>>zero, and if black can't win, the score will never go below zero...  If both
>>are true, we have a draw of course.  :)
>
>
>  Yeah... this is what I did so far... However simple bounding like that has the
>danger of trading into N vs P where N vs 2P could be reached - since those 2
>positions will return same =draw= value...now I set minimum to draw +
>Pawn_nr*0.3... primitive, but program cares about those pawns :)

This is a great thread.

The original poster identified a really common problem.  You get into these
situations not only when you have a minor against two pawns, you get them when
you have a minor and a rook against a rook and two pawns.

I had a game in the Jakarta WMCCC, I believe against Comet, where Comet took a
draw rather than get into the pawn side of KRN vs KRPP (mine didn't understand
it either).  If I remember, the pawns looked half way decent, too. I saw another
game between Shredder and Virtual Chess at that WMCCC, where neither program
understood this exact same situation.  Virtual Chess chose to be a pawn or two
down in a lost position, rather than a piece down in an unlosable position.
That was two at that same WMCCC.  I also see this come up a lot on ICC, you get
into these cases where you are "losing", but you can escape into an ending in
which you are down material, but realistically only you can win.

And you've identified what is wrong with Bob's approach.  What you want to do is
go into these endings when you have a better chance of winning than you
otherwise would.  And once you are in one of these, you certainly want to avoid
just throwing away pawns because all positions are equal.

I've tried to make my program understand these cases, but I don't think I've
solved the problem you mentioned, that of sacrificing material in order to get
into one of these cases.  I don't have any good answers, but the questions are
great and I think very important.

bruce



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