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Cube action ROs

Posted By: Daniel Murphy
Date: Friday, 28 May 2010, at 7:25 p.m.

In Response To: Cube action (Timothy Chow)

To paraphrase another world class player about this world class player: "I have no doubt that this player would show a positive result if given enough time versus any other human player in match play." But the paraquotation is from the pre-XG era.

OTB I doubled because it looked like a double. If I'd thought about it, I'd have figured Blue wins at least 60% with quite a few gammons, and there are obviously quite a few market losing sequences -- some big and small doublets, some hitting numbers, and sequences like 6-3 and 5-4 followed by surviving the resulting single or double shot. So I would have doubled. My world class opponent would not have doubled.

The score (after 0 games) is: White 5, Blue 1

Blue on roll, cube decision?

White117


1X2X2X2X2X2X ' ' ' ' ' '

6O2O '2O3X3O ' '1X '2O '

Blue58

Position ID: bdsAhAO/mYMBAA Match ID: cAkAAFAACAAA

Cube decision
Rollout cubeless equity +0.3581
Cubeful equities:
1.Double, take +0.4567
2.Double, pass +1.0000 +0.5433
3.No double +0.3247 -0.1320
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.62270.17650.0008-0.37730.06290.0018 +0.3581 +0.3247
Standard error0.00110.00110.0003-0.00110.00120.0003 0.0027 0.0050
Player White owns 2-cube0.63030.17780.0006-0.36970.06270.0016 +0.7491 +0.4567
Standard error0.00120.00130.0003-0.00120.00130.0003 0.0059 0.0097
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 852751507 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]


Annotation
Cube analysis
2-ply cubeless equity +0.2885
0.6061 0.1523 0.0005 - 0.3939 0.0761 0.0005
Cubeful equities:
1. No double +0.3315
2. Double, pass +1.0000 ( +0.6685)
3. Double, take +0.3290 ( -0.0025)
Proper cube action: No double, take (0.4%)

For comparison, let's move the White blot a few pips so that Blue can't break the 11 point point with a hit. This also means Blue will win fewer gammons. On the upside, it means no sequences give White a double shot:

The score (after 0 games) is: White 5, Blue 1

Move number 4: Blue on roll, cube decision?

White113


1X2X2X2X2X2X ' ' ' ' '1X

6O2O '2O3X3O ' ' ' '2O '

Blue58

Position ID: bdtAgAO/mYMBAA Match ID: cAkAAFAACAAA

• Blue doubles

Cube decision
Rollout cubeless equity +0.2763
Cubeful equities:
1.Double, take +0.3561
2.Double, pass +1.0000 +0.6439
3.No double +0.2997 -0.0564
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.62570.07700.0002-0.37430.05110.0011 +0.2763 +0.2997
Standard error0.00110.00120.0000-0.00110.00140.0002 0.0028 0.0052
Player White owns 2-cube0.63690.07390.0002-0.36310.04980.0012 +0.5938 +0.3561
Standard error0.00130.00130.0000-0.00130.00150.0002 0.0062 0.0102
Full cubeful rollout with var.redn.
819 games, Mersenne Twister dice gen. with seed 852751507 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Double/take, even without the blot.

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