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backgame double

Posted By: Daniel Murphy
Date: Sunday, 25 October 2009, at 12:02 a.m.

In Response To: backgame double (aoleg1)

Gnubg doesn't seem to handle the original position well. It has something do, I think, with misevaluating the value of the three points in White's homeboard.

Suppose you don't double and roll 5-4 bar/20 8/4. Opponent fans. Now what? Double? Gnubg 2-ply says Double/Pass, with Take a 0.0801 blunder. But a short rollout says ND/T with Double a 0.141 blunder, and Pass a 0.045 error.

Since there must be quite a few similar sequences arising from the original position, we can conclude (if 2-ply isn't terribly misplaying either side) that in the original position, doubling is worse than what 2-ply says, but passing is also worse.

Unfortunately, a 2-ply rollout of the original position won't be much help, if that rollout has an inflated ND equity due to a lot of bad passes on the next roll.

And rolling out 5-4 ... dance (below) isn't much help either, since the ND equity is probably still inflated with bad passes next roll.

The score (after 0 games) is: Opponent 5, Hero 6 (match to 9 points)

Move number 8: Hero on roll, cube decision?

Opponent171


2X2X2X '1O ' '2X ' ' ' '

1O2X '3O2X3O '3O2X2O '2O

Hero119

Position ID: 22CAYUxxzpkBAg Match ID: cAkgAVAAMAAA

• Hero doubles

Alert: wrong double ( -0.1412)!

Cube decision
Rollout cubeless equity +0.7494(Money: +0.7021)
Cubeful equities:
1.No double +0.9550
2.Double, pass +1.0000 +0.0450
3.Double, take +0.8138 -0.1412
Proper cube action:No double, take (75.9%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.70480.30930.0479-0.29520.06400.0007 +0.7494 +0.9550
Standard error0.00490.00620.0131-0.00490.01230.0001 0.0177 0.0375
Player Opponent owns 2-cube0.67610.35930.0657-0.32390.08770.0011 +1.6006 +0.8138
Standard error0.00690.01330.0143-0.00690.01710.0003 0.0451 0.0689
Full cubeful rollout with var.redn.
144 games, Mersenne Twister dice gen. with seed 868991306 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 +0.8637 (Money: +0.6642)
0.7115 0.2885 0.0063 - 0.2885 0.0532 0.0004
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.0801 ( +0.0801)
3. No double +0.9543 ( -0.0457)
Proper cube action: Double, pass

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