Pierre Zakia wrote:

In the position here below, I am curious to understand what in Gnubg engine yields such discrepancy between 4 ply and roll out.


GNU Backgammon  ID de position: G27HAAiY2+ABAw
                 ID de match   : MAHyAAAAAAAE

Thanks for posting this position---it's very interesting!

First let me mention that eXtreme Gammon (XG) finds this position tricky as well. XG 3-ply plays 13/9(2) 13/5. (XG and GNU use slightly definitions of "ply" I think, but that's not important here.) So I don't think that 13/9(2) 13/5 is "obviously wrong." Two things to note:

1. 13/9(2) 13/5 wins more gammons than 20/16(2) 13/9(2), so it's probably the better play at certain match scores.

2. Suppose you change the position slightly---instead of having the cube centered, have X own the cube on 2. I think that if you roll it out then you'll see that 20/16(2) 13/9(2) comes out ahead by a much smaller margin. So part of the reason that 20/16(2) 13/9(2) comes out so far ahead in your original position is the somewhat subtle fact that O is hoping to double next turn---but if O gets hit then she won't be able to double. So with the cube in the middle, O is much more cautious about leaving shots.

Anyway, I don't think that this is a fault of the software. It's just that the position is more subtle than you may have thought at first glance.

Tim

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