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Four-score position from "Backgammon Openings"

Posted By: Timothy Chow
Date: Monday, 19 September 2011, at 11:28 p.m.

In Response To: Four-score position from "Backgammon Openings" (Stick)

Towards the end of the book, after the analysis of third-roll 31 positions, there is some general expository material, including a couple of pages about match play. There, it is asserted that the position I posted has a clearly different play for each of the four major match scores.

Stick wrote:

And most four score positions that we've come across, esp. the early game ones, seem to be so close that I honestly don't care.

Nack calls these "technical four-score positions." The adjective "technical," as I understand it, is to distinguish them from positions where the differences between the plays are not close. In particular, the position in Backgammon Openings is supposed to not require the qualifier "technical." Indeed, at DMP, GS, and GG, the top play is clearly ahead of the other plays. But for money, it is apparently not so clear, and in the worst case, this might not be even a "technical" four-score position.

It seems to be pretty tricky to find a four-score position, even if one deliberately tries to construct an artificial example. I played around for a couple of hours recently and got something that looked promising with XGR+ but fell apart upon full rollout. One template that seems promising is g=K, m=H, d=R, s=@, but it's not so easy to get all four plays to be plausible yet still separate cleanly in the desired manner.

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