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Nactation: Letter hierarchies

Posted By: Taper_Mike
Date: Saturday, 22 October 2011, at 8:13 p.m.

In Response To: Nactation: Letter hierarchies (Nack Ballard)

Thanks, Nack. With your help, I have arrived at the following nacbracs for the rollout at BGO. This summary reflects my preference for H and X over, respectively, members of the D and B families.

BTW: In writing this, I realized that I am still fuzzy on the D family. In this position, I would have applied the hit-most-six rule, and awarded a prominent place to 13/7*, 13/11. In your message, you assign D to 13/11(2), 8/4, a play that makes the most points, but that does not hit.

A similar consideration may apply to the hit-and-split play when nactated using a member of the B family. Shouldn't the hit-and-split play get B?

Mike





White is Player 2

score: 0
pip: 159
Unlimited Game
Jacoby Beaver
pip: 163
score: 0

Blue is Player 1
XGID=-a---BDaB---dEa--c-e----B-:0:0:1:22:0:0:3:0:10
Blue to play 22

31P-62S-22 [L H16 X35 N100] /10*1

NactationMeaningNote
5 – Five13/7*/5L is preferred
D – Down13/11(2), 8/4
d – Down13/9, 8/4
H – Hit13/11, 13/7*
L – Lift13/7*/5
N – Near13/11(2), 6/4(2)
O – Outer13/11(2), 8/6(2)
o – Outer13/9, 8/6(2)
O – Outer13/7*/5L is preferred
o – Outer13/7*, 8/6
X – Hit and Split24/22, 13/7*

GNU Backgammon Rollout from BGO

# Ply Move Equity
1 R 13/7*/5 +0.4559
0.59590.21670.0108-0.40410.10090.0047 +0.3138 +0.4559
0.00060.00070.0002-0.00060.00050.0001 0.0015 0.0042
Full cubeful rollout with var.redn.
10368 games, Mersenne Twister dice gen. with seed 1022892544 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2 R 13/7* 13/11 +0.4396 ( -0.0163)
0.59410.20820.0106-0.40590.10660.0060 +0.2945 +0.4396
0.00060.00080.0003-0.00060.00050.0002 0.0023 0.0063
Full cubeful rollout with var.redn.
10368 games, Mersenne Twister dice gen. with seed 1022892544 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
3 R 24/22 13/7* +0.4180 ( -0.0349)
0.58790.20660.0113-0.41210.10280.0048 +0.2862 +0.4180
0.00170.00190.0010-0.00170.00150.0003 0.0043 0.0127
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1022892544 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
4 R 13/11(2) 6/4(2) +0.3527 ( -0.1001)
0.57960.17430.0082-0.42040.09340.0038 +0.2445 +0.3527
0.00170.00210.0006-0.00170.00150.0004 0.0042 0.0108
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 1022892544 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

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