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Rollout: Run the back checker?

Posted By: Timothy Chow
Date: Sunday, 18 July 2010, at 12:17 a.m.

In Response To: Run the back checker? (Timothy Chow)

I (correctly) decided that running into the outfield was the wrong idea here, despite being ahead in the race and having a slightly better board. White's position is rather inflexible here and there's a good chance that White will have to leave an indirect shot. Running into the outfield just gives White a chance to hit loose and consolidate.

I played 13/5, trying to build my board. The rollout indicates that this is second best, but the difference in equity appears to be quite substantial. The trouble is that after 13/7, there is no way to play the 2 up front in a clearly constructive way. Thus 24/22 13/7 seems to be best. Stepping up does not really give White any more good rolls and it provides slightly better coverage of the outfield.

For comparison, I have also included a 4-ply analysis of a variant position where Blue's blot on the 1 point is moved to the 4 point. Then 13/7 6/4 seems to be best by a small margin. Note that once Blue has a strong four-point board then challenging White with 24/18 becomes a viable option.


gnubg132


1O ' '3X '5X ' ' ' '2X4O

1O2O ' '2O3O '2O1X ' '4X

tchow125

Position ID: OB/MIwCNncEDIA Match ID: cAkLAEAAKAAA

# Ply Move Equity
1 R 24/22 13/7 +0.116
0.5430.0940.002-0.4570.0640.002 +0.114 +0.116
0.0010.0020.000-0.0010.0010.000 0.003 0.006
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 890540859 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2 R 13/5 +0.031 ( -0.085)
0.5150.1120.002-0.4850.0710.002 +0.071 +0.031
0.0010.0020.000-0.0010.0010.000 0.003 0.006
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 890540859 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
3 R 24/22 8/2 +0.021 ( -0.095)
0.5120.1120.002-0.4880.0890.003 +0.048 +0.021
0.0010.0020.000-0.0010.0010.000 0.003 0.006
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 890540859 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
4 R 13/7 8/6 -0.008 ( -0.124)
0.5060.1150.002-0.4940.0780.003 +0.047 -0.008
0.0010.0020.000-0.0010.0010.000 0.003 0.006
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 890540859 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
5 R 13/7 6/4 -0.021 ( -0.136)
0.5040.1130.002-0.4960.0760.003 +0.045 -0.021
0.0010.0020.000-0.0010.0010.000 0.003 0.006
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 890540859 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
6 R 24/16 -0.050 ( -0.165)
0.4940.0780.002-0.5060.0760.003 -0.011 -0.050
0.0010.0010.000-0.0010.0010.000 0.002 0.005
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 890540859 and quasi-random dice
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]


Variant position:

gnubg132


1O ' '3X '5X ' ' ' '2X4O

 '2O '1O2O3O '2O1X ' '4X

tchow128

Position ID: OB/MIwCmncEDIA Match ID: cAkZAEAAKAAA

# Ply Move Equity
1 4 13/7 6/4 +0.209
0.558 0.098 0.001 - 0.442 0.043 0.001
2 4 24/18 6/4 +0.201 ( -0.009)
0.559 0.079 0.002 - 0.441 0.042 0.001
3 4 24/22 13/7 +0.196 ( -0.014)
0.559 0.087 0.001 - 0.441 0.051 0.001
4 4 13/5 +0.154 ( -0.055)
0.540 0.112 0.002 - 0.460 0.058 0.002

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