Chase hit the nail on the head. OTB I played 13/6. This is a fine play for money, but it is a whopper at DMP, where 13/10 8/4* tops the rollout. For money, 13/10 8/4* is a whopper; it just loses too many gammons.
Basically, Blue has two ways to try to get White to crack. The first is to counterprime White's back checker. The second is what I call zugzwang; force White to play his dice and rush forward to collapse. It can be a tough call sometimes to decide which of these plans is better. For money, the decision is often a little easier because you generally don't want to hit loose if that means you might get hit back and gammoned. So often it's right to just build a prime as safely as possible, and if White hops out then switch to zugzwang. At DMP, hitting loose is more attractive because it is often a great way to counterprime, and if you're hit back then you just switch to zugzwang, without worrying about the gammon losses.
Below is the DMP rollout followed by the money rollout. After that, for good measure, I give the positions from the previous two turns of this game, which I also misplayed due to my failure to break my money-play habits of thinking.
# | Ply | Move | Equity |
• | 1 | R | 13/10 8/4* | -0.375 |
| 0.313 | 0.031 | 0.002 | - | 0.687 | 0.455 | 0.239 | -0.375 | -0.375 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.006 | 0.007 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854627068 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 | 9/6 8/4* | -0.402 ( -0.027) |
| 0.299 | 0.029 | 0.001 | - | 0.701 | 0.468 | 0.241 | -0.402 | -0.402 | 0.002 | 0.002 | 0.000 | - | 0.002 | 0.006 | 0.006 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854627068 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 | 8/5 8/4* | -0.438 ( -0.063) |
| 0.281 | 0.030 | 0.002 | - | 0.719 | 0.479 | 0.271 | -0.438 | -0.438 | 0.002 | 0.002 | 0.000 | - | 0.002 | 0.006 | 0.006 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854627068 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 | 8/4*/1 | -0.455 ( -0.081) |
| 0.272 | 0.027 | 0.001 | - | 0.728 | 0.460 | 0.199 | -0.455 | -0.455 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.007 | 0.006 | 0.004 | 0.004 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854627068 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 | 13/6 | -0.483 ( -0.109) |
| 0.258 | 0.030 | 0.001 | - | 0.742 | 0.352 | 0.069 | -0.483 | -0.483 | 0.002 | 0.002 | 0.000 | - | 0.002 | 0.008 | 0.004 | 0.003 | 0.003 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854627068 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 | 13/9 8/5 | -0.484 ( -0.110) |
| 0.258 | 0.027 | 0.001 | - | 0.742 | 0.351 | 0.062 | -0.484 | -0.484 | 0.002 | 0.002 | 0.000 | - | 0.002 | 0.007 | 0.003 | 0.003 | 0.003 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854627068 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] | |
# | Ply | Move | Equity |
• | 1 | R | 13/9 8/5 | -0.578 |
| 0.243 | 0.019 | 0.000 | - | 0.757 | 0.171 | 0.010 | -0.677 | -0.578 | 0.002 | 0.001 | 0.000 | - | 0.002 | 0.002 | 0.000 | 0.003 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 855082275 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 | 13/6 | -0.581 ( -0.003) |
| 0.240 | 0.019 | 0.001 | - | 0.760 | 0.170 | 0.011 | -0.680 | -0.581 | 0.002 | 0.001 | 0.001 | - | 0.002 | 0.002 | 0.000 | 0.003 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 855082275 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 | 13/10 8/4* | -0.670 ( -0.092) |
| 0.289 | 0.030 | 0.001 | - | 0.711 | 0.357 | 0.055 | -0.802 | -0.670 | 0.002 | 0.001 | 0.000 | - | 0.002 | 0.002 | 0.001 | 0.006 | 0.007 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 855082275 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] | |
In the position below I played 13/2. Although this is not as bad a mistake for money as it is at DMP, it turns out that either of the bold plays 13/8 13/7 or 13/7 9/4* is slightly better than 13/2 even for money. At DMP, though, hitting is the only move.
# | Ply | Move | Equity |
• | 1 | R | 13/7 9/4* | -0.289 |
| 0.356 | 0.038 | 0.001 | - | 0.644 | 0.417 | 0.220 | -0.289 | -0.289 | 0.003 | 0.002 | 0.000 | - | 0.003 | 0.006 | 0.006 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854737297 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 | 13/8 13/7 | -0.393 ( -0.104) |
| 0.304 | 0.038 | 0.002 | - | 0.696 | 0.380 | 0.111 | -0.393 | -0.393 | 0.002 | 0.003 | 0.001 | - | 0.002 | 0.007 | 0.005 | 0.004 | 0.004 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854737297 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 | 13/7 8/3 | -0.398 ( -0.109) |
| 0.301 | 0.042 | 0.002 | - | 0.699 | 0.391 | 0.129 | -0.398 | -0.398 | 0.002 | 0.003 | 0.001 | - | 0.002 | 0.007 | 0.005 | 0.004 | 0.004 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854737297 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 | 13/2 | -0.427 ( -0.138) |
| 0.287 | 0.035 | 0.001 | - | 0.713 | 0.386 | 0.128 | -0.427 | -0.427 | 0.002 | 0.003 | 0.000 | - | 0.002 | 0.007 | 0.005 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854737297 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] | |
Below I played 8/3 6/3, which is the best play for money, but at DMP it is better to boldly slot the back of the prime.
# | Ply | Move | Equity |
• | 1 | R | 13/10 8/3 | -0.339 |
| 0.331 | 0.034 | 0.001 | - | 0.669 | 0.424 | 0.202 | -0.339 | -0.339 | 0.002 | 0.002 | 0.000 | - | 0.002 | 0.006 | 0.006 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854872798 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 | 13/10 9/4* | -0.356 ( -0.017) |
| 0.322 | 0.031 | 0.001 | - | 0.678 | 0.471 | 0.273 | -0.356 | -0.356 | 0.003 | 0.002 | 0.000 | - | 0.003 | 0.006 | 0.006 | 0.006 | 0.006 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854872798 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 | 8/3 6/3 | -0.367 ( -0.028) |
| 0.317 | 0.037 | 0.002 | - | 0.683 | 0.380 | 0.133 | -0.367 | -0.367 | 0.002 | 0.003 | 0.001 | - | 0.002 | 0.007 | 0.005 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854872798 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 | 9/4* 8/5 | -0.382 ( -0.044) |
| 0.309 | 0.029 | 0.001 | - | 0.691 | 0.459 | 0.244 | -0.382 | -0.382 | 0.003 | 0.002 | 0.000 | - | 0.003 | 0.006 | 0.006 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854872798 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 | 13/5 | -0.405 ( -0.066) |
| 0.297 | 0.032 | 0.001 | - | 0.703 | 0.401 | 0.138 | -0.405 | -0.405 | 0.002 | 0.003 | 0.000 | - | 0.002 | 0.007 | 0.006 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854872798 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 | 8/5 8/3 | -0.413 ( -0.074) |
| 0.294 | 0.031 | 0.001 | - | 0.706 | 0.396 | 0.144 | -0.413 | -0.413 | 0.002 | 0.002 | 0.000 | - | 0.002 | 0.007 | 0.005 | 0.005 | 0.005 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854872798 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] | |