• Buy now?

    From Timothy Chow@21:1/5 to All on Fri Aug 6 08:25:43 2021
    XGID=---AbBDDB---b---a-Bbbbbb--:0:0:1:42:0:0:0:0:10 051c4821946c03c64269554ac3b9c897da1f769cc3bd486725d

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 117 X-O: 0-0
    Cube: 1
    X to play 42

    Sneak preview of next problem:
    Step up?
    6bb73e15fc21db78cd5cc033d15ab3b7cc7c2c8f1d404d6cfdc69854
    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From pepstein5@gmail.com@21:1/5 to Tim Chow on Sun Aug 8 12:39:26 2021
    On Friday, August 6, 2021 at 1:25:47 PM UTC+1, Tim Chow wrote:
    XGID=---AbBDDB---b---a-Bbbbbb--:0:0:1:42:0:0:0:0:10 051c4821946c03c64269554ac3b9c897da1f769cc3bd486725d

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 117 X-O: 0-0
    Cube: 1
    X to play 42

    Sneak preview of next problem:
    Step up?
    6bb73e15fc21db78cd5cc033d15ab3b7cc7c2c8f1d404d6cfdc69854
    ---
    Tim Chow
    7/3 7/5. Hitting the blot is much too dangerous.
    As well as the immediate returns, the opponent can also miss and then hit on the next shot.
    Even if we're missed, we're not favourite to clean up our blots.

    Paul

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Mon Aug 9 22:31:58 2021
    XGID=---AbBDDB---b---a-Bbbbbb--:0:0:1:42:0:0:0:0:10 051c4821946c03c64269554ac3b9c897da1f769cc3bd486725d

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 117 X-O: 0-0
    Cube: 1
    X to play 42

    O already has two checkers back, diminishing the need to send a third
    checker back. O's board is indeed too strong to venture the hit, but
    see the variant below.

    1. Rollout¹ 7/5 7/3 eq:+0.299
    Player: 58.09% (G:9.83% B:0.21%)
    Opponent: 41.91% (G:6.03% B:0.20%)
    Confidence: ±0.010 (+0.288..+0.309) - [100.0%]

    2. Rollout¹ 7/5 6/2 eq:+0.247 (-0.052)
    Player: 56.92% (G:9.35% B:0.17%)
    Opponent: 43.08% (G:5.89% B:0.20%)
    Confidence: ±0.010 (+0.237..+0.257) - [0.0%]

    3. Rollout¹ 18/16* 7/3 eq:+0.218 (-0.081)
    Player: 56.29% (G:10.84% B:0.43%)
    Opponent: 43.71% (G:15.25% B:0.36%)
    Confidence: ±0.012 (+0.206..+0.230) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    -------
    Variant
    -------

    XGID=---AbBDDB---b---a-Bbbbb-b-:0:0:1:42:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 115 X-O: 0-0
    Cube: 1
    X to play 42

    1. Rollout¹ 18/16* 7/3 eq:+0.343
    Player: 60.17% (G:12.15% B:0.46%)
    Opponent: 39.83% (G:14.00% B:0.23%)
    Confidence: ±0.010 (+0.333..+0.352) - [80.6%]

    2. Rollout¹ 7/5 7/3 eq:+0.337 (-0.006)
    Player: 58.90% (G:10.65% B:0.25%)
    Opponent: 41.10% (G:5.70% B:0.18%)
    Confidence: ±0.010 (+0.327..+0.346) - [19.4%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Mon Aug 9 22:30:32 2021
    XGID=---AbBDDB---b---a-Bbbbbb--:0:0:1:42:0:0:0:0:10 051c4821946c03c64269554ac3b9c897da1f769cc3bd486725d

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 117 X-O: 0-0
    Cube: 1
    X to play 42

    O already has two checkers back, diminishing the need to send another
    checker back. As Paul said, O's board is indeed too strong, but see
    the variant below.

    1. Rollout¹ 7/5 7/3 eq:+0.299
    Player: 58.09% (G:9.83% B:0.21%)
    Opponent: 41.91% (G:6.03% B:0.20%)
    Confidence: ±0.010 (+0.288..+0.309) - [100.0%]

    2. Rollout¹ 7/5 6/2 eq:+0.247 (-0.052)
    Player: 56.92% (G:9.35% B:0.17%)
    Opponent: 43.08% (G:5.89% B:0.20%)
    Confidence: ±0.010 (+0.237..+0.257) - [0.0%]

    3. Rollout¹ 18/16* 7/3 eq:+0.218 (-0.081)
    Player: 56.29% (G:10.84% B:0.43%)
    Opponent: 43.71% (G:15.25% B:0.36%)
    Confidence: ±0.012 (+0.206..+0.230) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    -------
    Variant
    -------

    XGID=---AbBDDB---b---a-Bbbbb-b-:0:0:1:42:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 115 X-O: 0-0
    Cube: 1
    X to play 42

    1. Rollout¹ 18/16* 7/3 eq:+0.343
    Player: 60.17% (G:12.15% B:0.46%)
    Opponent: 39.83% (G:14.00% B:0.23%)
    Confidence: ±0.010 (+0.333..+0.352) - [80.6%]

    2. Rollout¹ 7/5 7/3 eq:+0.337 (-0.006)
    Player: 58.90% (G:10.65% B:0.25%)
    Opponent: 41.10% (G:5.70% B:0.18%)
    Confidence: ±0.010 (+0.327..+0.346) - [19.4%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From pepstein5@gmail.com@21:1/5 to Tim Chow on Tue Aug 10 00:53:10 2021
    On Tuesday, August 10, 2021 at 3:32:00 AM UTC+1, Tim Chow wrote:
    XGID=---AbBDDB---b---a-Bbbbbb--:0:0:1:42:0:0:0:0:10 051c4821946c03c64269554ac3b9c897da1f769cc3bd486725d

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O X | | O O O O O |
    | X | | O O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X X | | X X O |
    | O X X | | X X O X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 117 O: 117 X-O: 0-0
    Cube: 1
    X to play 42
    O already has two checkers back, diminishing the need to send a third checker back. O's board is indeed too strong to venture the hit, but
    see the variant below.

    1. Rollout¹ 7/5 7/3 eq:+0.299
    Player: 58.09% (G:9.83% B:0.21%)
    Opponent: 41.91% (G:6.03% B:0.20%)
    Confidence: ±0.010 (+0.288..+0.309) - [100.0%]

    2. Rollout¹ 7/5 6/2 eq:+0.247 (-0.052)
    Player: 56.92% (G:9.35% B:0.17%)
    Opponent: 43.08% (G:5.89% B:0.20%)
    Confidence: ±0.010 (+0.237..+0.257) - [0.0%]

    3. Rollout¹ 18/16* 7/3 eq:+0.218 (-0.081)
    Player: 56.29% (G:10.84% B:0.43%)
    Opponent: 43.71% (G:15.25% B:0.36%)
    Confidence: ±0.012 (+0.206..+0.230) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    ...

    This is an incidental point, but here we see the difference between
    a large conceptual error and a large equity error.
    One can imagine a strongish player hitting here, but 7/5 6/2
    seems a very strange play indeed which could only be played by a beginner.
    It doesn't hit and it doesn't make a point.
    However, in equity terms, 7/5 6/2 is actually better than hitting.
    So I think 7/5 6/2 is a larger conceptual error than hitting but a smaller equity error.

    Paul

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Thu Mar 24 09:26:45 2022
    XGID=----B-DCDa--b---abBbcb-b--:1:1:1:21:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O |
    | O X | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 106 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Sat Mar 26 17:25:24 2022
    XGID=----B-DCDa--b---abBbcb-b--:1:1:1:21:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O |
    | O X | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 106 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    Hitting is the DMP play, but does it lose too many gammons? XG thinks
    so, although 18/16*/15 fares a bit better in the rollout than it does
    upon preliminary evaluation. It is not hard to find variants which
    swing the play (one is shown below).

    Of course this is not an exception to Stick's DMP rule since there are
    no exceptions to that rule.

    1. Rollout¹ 7/5 6/5 eq:-0.178
    Player: 35.52% (G:2.44% B:0.11%)
    Opponent: 64.48% (G:1.71% B:0.04%)
    Confidence: ±0.005 (-0.183..-0.173) - [100.0%]

    2. Rollout¹ 18/16* 16/15 eq:-0.246 (-0.068)
    Player: 39.71% (G:8.23% B:0.38%)
    Opponent: 60.29% (G:28.17% B:0.51%)
    Confidence: ±0.008 (-0.254..-0.238) - [0.0%]

    3. Rollout¹ 8/5 eq:-0.252 (-0.074)
    Player: 32.84% (G:1.78% B:0.06%)
    Opponent: 67.16% (G:1.85% B:0.07%)
    Confidence: ±0.005 (-0.257..-0.247) - [0.0%]

    4. Rollout¹ 18/16* 8/7 eq:-0.337 (-0.158)
    Player: 37.39% (G:8.16% B:0.48%)
    Opponent: 62.61% (G:30.75% B:0.63%)
    Confidence: ±0.009 (-0.346..-0.327) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    -------
    Variant
    -------

    XGID=----B-DCDa--b---abBbbbba--:1:1:1:21:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O O |
    | O X | | O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 105 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    1. Rollout¹ 18/16* 16/15 eq:-0.160
    Player: 41.55% (G:11.27% B:0.78%)
    Opponent: 58.45% (G:27.14% B:0.56%)
    Confidence: ±0.009 (-0.169..-0.151) - [100.0%]

    2. Rollout¹ 7/5 6/5 eq:-0.191 (-0.031)
    Player: 35.12% (G:2.54% B:0.10%)
    Opponent: 64.88% (G:2.14% B:0.05%)
    Confidence: ±0.005 (-0.197..-0.186) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Stick Rice@21:1/5 to Tim Chow on Mon Mar 28 13:59:20 2022
    On Saturday, March 26, 2022 at 5:25:29 PM UTC-4, Tim Chow wrote:
    XGID=----B-DCDa--b---abBbcb-b--:1:1:1:21:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O |
    | O X | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 106 X-O: 0-0
    Cube: 2, X own cube
    X to play 21
    Hitting is the DMP play, but does it lose too many gammons? XG thinks
    so, although 18/16*/15 fares a bit better in the rollout than it does
    upon preliminary evaluation. It is not hard to find variants which
    swing the play (one is shown below).

    Of course this is not an exception to Stick's DMP rule since there are
    no exceptions to that rule.

    1. Rollout¹ 7/5 6/5 eq:-0.178
    Player: 35.52% (G:2.44% B:0.11%)
    Opponent: 64.48% (G:1.71% B:0.04%)
    Confidence: ±0.005 (-0.183..-0.173) - [100.0%]

    2. Rollout¹ 18/16* 16/15 eq:-0.246 (-0.068)
    Player: 39.71% (G:8.23% B:0.38%)
    Opponent: 60.29% (G:28.17% B:0.51%)
    Confidence: ±0.008 (-0.254..-0.238) - [0.0%]

    3. Rollout¹ 8/5 eq:-0.252 (-0.074)
    Player: 32.84% (G:1.78% B:0.06%)
    Opponent: 67.16% (G:1.85% B:0.07%)
    Confidence: ±0.005 (-0.257..-0.247) - [0.0%]

    4. Rollout¹ 18/16* 8/7 eq:-0.337 (-0.158)
    Player: 37.39% (G:8.16% B:0.48%)
    Opponent: 62.61% (G:30.75% B:0.63%)
    Confidence: ±0.009 (-0.346..-0.327) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    -------
    Variant
    -------

    XGID=----B-DCDa--b---abBbbbba--:1:1:1:21:0:0:0:0:10
    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O O |
    | O X | | O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 105 X-O: 0-0
    Cube: 2, X own cube
    X to play 21
    1. Rollout¹ 18/16* 16/15 eq:-0.160
    Player: 41.55% (G:11.27% B:0.78%)
    Opponent: 58.45% (G:27.14% B:0.56%)
    Confidence: ±0.009 (-0.169..-0.151) - [100.0%]

    2. Rollout¹ 7/5 6/5 eq:-0.191 (-0.031)
    Player: 35.12% (G:2.54% B:0.10%)
    Opponent: 64.88% (G:2.14% B:0.05%)
    Confidence: ±0.005 (-0.197..-0.186) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

    It could be an exception if the rule is totally new to you. It shouldn't be an exception if you've studied it, put it into play, and actually use it on a consistent basis...then it is fairly obvious. So you're right, for me it's not. For you maybe it
    is because you've never really tried to understand it and use it as should be done.

    Stick

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to Stick Rice on Tue Mar 29 08:58:16 2022
    On 3/28/2022 4:59 PM, Stick Rice wrote:
    For you maybe it is because you've never really tried to understand it and use it as should be done.

    It's not an exception for me because there are no exceptions.

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From pepstein5@gmail.com@21:1/5 to Stick Rice on Wed Mar 30 03:12:38 2022
    On Monday, March 28, 2022 at 9:59:22 PM UTC+1, Stick Rice wrote:
    On Saturday, March 26, 2022 at 5:25:29 PM UTC-4, Tim Chow wrote:
    XGID=----B-DCDa--b---abBbcb-b--:1:1:1:21:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O |
    | O X | | O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 106 X-O: 0-0
    Cube: 2, X own cube
    X to play 21
    Hitting is the DMP play, but does it lose too many gammons? XG thinks
    so, although 18/16*/15 fares a bit better in the rollout than it does
    upon preliminary evaluation. It is not hard to find variants which
    swing the play (one is shown below).

    Of course this is not an exception to Stick's DMP rule since there are
    no exceptions to that rule.

    1. Rollout¹ 7/5 6/5 eq:-0.178
    Player: 35.52% (G:2.44% B:0.11%)
    Opponent: 64.48% (G:1.71% B:0.04%)
    Confidence: ±0.005 (-0.183..-0.173) - [100.0%]

    2. Rollout¹ 18/16* 16/15 eq:-0.246 (-0.068)
    Player: 39.71% (G:8.23% B:0.38%)
    Opponent: 60.29% (G:28.17% B:0.51%)
    Confidence: ±0.008 (-0.254..-0.238) - [0.0%]

    3. Rollout¹ 8/5 eq:-0.252 (-0.074)
    Player: 32.84% (G:1.78% B:0.06%)
    Opponent: 67.16% (G:1.85% B:0.07%)
    Confidence: ±0.005 (-0.257..-0.247) - [0.0%]

    4. Rollout¹ 18/16* 8/7 eq:-0.337 (-0.158)
    Player: 37.39% (G:8.16% B:0.48%)
    Opponent: 62.61% (G:30.75% B:0.63%)
    Confidence: ±0.009 (-0.346..-0.327) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    -------
    Variant
    -------

    XGID=----B-DCDa--b---abBbbbba--:1:1:1:21:0:0:0:0:10
    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O X | | O O O O O |
    | O X | | O O O O |
    | | | |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X X | | X | +---+
    | O X X | | X X | | 2 |
    | O O X X | | X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 121 O: 105 X-O: 0-0
    Cube: 2, X own cube
    X to play 21
    1. Rollout¹ 18/16* 16/15 eq:-0.160
    Player: 41.55% (G:11.27% B:0.78%)
    Opponent: 58.45% (G:27.14% B:0.56%)
    Confidence: ±0.009 (-0.169..-0.151) - [100.0%]

    2. Rollout¹ 7/5 6/5 eq:-0.191 (-0.031)
    Player: 35.12% (G:2.54% B:0.10%)
    Opponent: 64.88% (G:2.14% B:0.05%)
    Confidence: ±0.005 (-0.197..-0.186) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow
    It could be an exception if the rule is totally new to you. It shouldn't be an exception if you've studied it, put it into play, and actually use it on a consistent basis...then it is fairly obvious. So you're right, for me it's not. For you maybe it
    is because you've never really tried to understand it and use it as should be done.

    Stick

    I think I have made a good-faith attempt to understand it. I personally don't find this rule helpful.
    I do think that your articles/lessons etc are very good.
    I wouldn't say I've "studied it" because, to me, that would imply (at the very least) reading books which refer to it, or reading articles about it etc.
    How would I (or Tim) study it?
    I understand Tim has done an excellent job of studying combinatorial game theory (and much else) and contributing to the literature on it.
    BG doesn't seem a million miles away from that, so I think we would study it if we had more pointers to effective studying tools.

    Paul

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to peps...@gmail.com on Sat Apr 2 14:09:22 2022
    On 3/30/2022 6:12 AM, peps...@gmail.com wrote:
    I think I have made a good-faith attempt to understand it. I personally don't find this rule helpful.

    Below is something that looks somewhat similar to Stick's rule that
    you might find helpful. At some point in the past, I even suggested
    to Stick that this might be what he's actually trying to articulate
    with his DMP rule, but he didn't agree. So I have it on good authority
    that what follows is *not* Stick's DMP rule. Nevertheless, you might
    notice some resemblance.

    The idea is this. Start by doing your best to master DMP. Of course
    you won't succeed perfectly, but the idea is that it should be no
    harder than, and probably easier than, mastering money play, since you
    don't have to think about gammons or the cube.

    When you're faced with a tricky decision for money, first ask yourself,
    what's the DMP play? You may not always be able to answer this question confidently, but if you have studied DMP a lot then in many cases you
    will have a pretty good idea of what the DMP play should be. If you
    feel confident about the DMP play but are inclined to make a different
    play, ask yourself why you want to deviate from the DMP play. In most
    cases, presumably your justification is that the DMP play loses too many gammons or throws away too many gammon wins. Try to articulate these
    arguments to yourself explicitly, and remember them afterwards when you
    check your play against the bot. Various outcomes are possible; e.g.,

    1. You might have been completely wrong about what the DMP play was.
    This situation should provide you with a valuable general lesson about backgammon.

    2. You might have been right about the DMP play, but you misjudged the significance of gammon wins or losses. If you're like most people, when
    you start this exercise, you'll discover that you have been deviating
    from DMP too often, and you need to dial down your fear/love of gammon losses/wins. Or you might be one of those people who doesn't think
    about gammons enough---for example, a common mistake I see is players
    waiting too long to run off the gammon since they keep hoping they'll
    hit a shot and turn the game around.

    Over time, you should notice improvement, as decisions that seemed
    difficult to you in the past will become obvious. The idea isn't to
    lay down some fixed law and argue about whether this or that position
    is an "exception" (since one person's "exception" may be obvious to
    another person). Rather, the idea is to develop a certain approach to
    breaking down a position in a systematic way, so that you can identify
    clearly where your weaknesses are and address them.

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From pepstein5@gmail.com@21:1/5 to Tim Chow on Sun Apr 3 03:20:02 2022
    On Saturday, April 2, 2022 at 7:09:25 PM UTC+1, Tim Chow wrote:
    On 3/30/2022 6:12 AM, peps...@gmail.com wrote:
    I think I have made a good-faith attempt to understand it. I personally don't find this rule helpful.
    Below is something that looks somewhat similar to Stick's rule that
    you might find helpful. At some point in the past, I even suggested
    to Stick that this might be what he's actually trying to articulate
    with his DMP rule, but he didn't agree. So I have it on good authority
    that what follows is *not* Stick's DMP rule. Nevertheless, you might
    notice some resemblance.

    The idea is this. Start by doing your best to master DMP. Of course
    you won't succeed perfectly, but the idea is that it should be no
    harder than, and probably easier than, mastering money play, since you
    don't have to think about gammons or the cube.

    When you're faced with a tricky decision for money, first ask yourself, what's the DMP play? You may not always be able to answer this question confidently, but if you have studied DMP a lot then in many cases you
    will have a pretty good idea of what the DMP play should be. If you
    feel confident about the DMP play but are inclined to make a different
    play, ask yourself why you want to deviate from the DMP play. In most
    cases, presumably your justification is that the DMP play loses too many gammons or throws away too many gammon wins. Try to articulate these arguments to yourself explicitly, and remember them afterwards when you
    check your play against the bot. Various outcomes are possible; e.g.,

    1. You might have been completely wrong about what the DMP play was.
    This situation should provide you with a valuable general lesson about backgammon.

    2. You might have been right about the DMP play, but you misjudged the significance of gammon wins or losses. If you're like most people, when
    you start this exercise, you'll discover that you have been deviating
    from DMP too often, and you need to dial down your fear/love of gammon losses/wins. Or you might be one of those people who doesn't think
    about gammons enough---for example, a common mistake I see is players
    waiting too long to run off the gammon since they keep hoping they'll
    hit a shot and turn the game around.

    Over time, you should notice improvement, as decisions that seemed
    difficult to you in the past will become obvious. The idea isn't to
    lay down some fixed law and argue about whether this or that position
    is an "exception" (since one person's "exception" may be obvious to
    another person). Rather, the idea is to develop a certain approach to breaking down a position in a systematic way, so that you can identify clearly where your weaknesses are and address them.

    It's good advice but I think I already do that (or something close to it). There's a classic point of confusion, where intermediates make the right
    play by accident. While bearing off against contact, it can be right to remove checkers even when the remaining formation is less safe. Then players can think "It's not DMP so it's right to play bold for the gammon by removing more checkers." But then XG reveals that, even at DMP, you grab checkers anyway, so that you get a better game if you're hit.

    Paul

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)