• Go bananas?

    From Timothy Chow@21:1/5 to All on Tue May 2 08:57:35 2023
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 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 Robert Zimmerman@21:1/5 to Timothy Chow on Tue May 2 09:32:33 2023
    On Tuesday, May 2, 2023 at 8:57:37 AM UTC-4, Timothy Chow wrote:
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    ---
    Tim Chow
    I think the split is for more desperate situations. Here you have a fair shot at a win going down the more conservative route given the race and likelihood that O will leave you a direct shot on the way out. If not, she'll increase her wastage before the
    bear off. Hold onto that five point board for the possibility of the direct shot. Owning the cube is advantageous here, and I'm not sure it's useful in the splitting scenario.
    Bob

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Stick Rice@21:1/5 to Robert Zimmerman on Tue May 2 14:35:05 2023
    On Tuesday, May 2, 2023 at 12:32:34 PM UTC-4, Robert Zimmerman wrote:
    On Tuesday, May 2, 2023 at 8:57:37 AM UTC-4, Timothy Chow wrote:
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    ---
    Tim Chow
    I think the split is for more desperate situations. Here you have a fair shot at a win going down the more conservative route given the race and likelihood that O will leave you a direct shot on the way out. If not, she'll increase her wastage before
    the bear off. Hold onto that five point board for the possibility of the direct shot. Owning the cube is advantageous here, and I'm not sure it's useful in the splitting scenario.
    Bob

    Is that your dmp play? And nobody ever does it for some reason, probably bc they're not good at it and don't think they can be I guess, but problems like this you should at least estimate, even if it's a wild estimate, how often do we win after play A?
    After play B? You can start with a simple question like "Am I favorite after this play?" And then hone in from there.

    Stick

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Thu May 4 17:44:44 2023
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    This problem falls in the category of, hitting loose while containing
    a single straggler. In positions like this one, the following crude
    heuristic is often surprisingly accurate:

    1. Assume that if you hit and are missed, you win, and that if you hit
    and are hit back you lose.

    2. Assume that if you don't hit, it's a pure race.

    In this position, the heuristic would suggest that hitting with 6/5 6/4*
    wins 5/9 of the time, whereas not hitting would make you an underdog. Therefore, you should hit.

    Of course, the heuristic is extremely crude, and you can usually improve
    on it by taking into account special features of the position. But even
    the basic heuristic will often steer you in the right direction, as
    indeed it does here.

    1. Rollout¹ 6/5 6/4* eq:+0.381
    Player: 57.68% (G:2.01% B:0.03%)
    Opponent: 42.32% (G:5.24% B:0.07%)
    Confidence: ±0.003 (+0.378..+0.384) - [100.0%]

    2. Rollout¹ 6/4* 4/3 eq:+0.293 (-0.088)
    Player: 54.93% (G:1.46% B:0.02%)
    Opponent: 45.07% (G:6.84% B:0.09%)
    Confidence: ±0.007 (+0.286..+0.300) - [0.0%]

    3. Rollout¹ 5/4* 4/2 eq:+0.250 (-0.131)
    Player: 53.84% (G:1.71% B:0.02%)
    Opponent: 46.16% (G:4.88% B:0.05%)
    Confidence: ±0.007 (+0.242..+0.257) - [0.0%]

    4. Rollout¹ 5/3 5/4* eq:+0.205 (-0.176)
    Player: 52.47% (G:1.20% B:0.02%)
    Opponent: 47.53% (G:4.91% B:0.07%)
    Confidence: ±0.007 (+0.198..+0.212) - [0.0%]

    5. Rollout¹ 14/13 3/1 eq:+0.159 (-0.222)
    Player: 49.84% (G:3.27% B:0.07%)
    Opponent: 50.16% (G:1.20% B:0.01%)
    Confidence: ±0.005 (+0.153..+0.164) - [0.0%]

    6. Rollout¹ 3/2 3/1 eq:+0.152 (-0.228)
    Player: 49.99% (G:2.44% B:0.06%)
    Opponent: 50.01% (G:1.28% B:0.01%)
    Confidence: ±0.006 (+0.146..+0.159) - [0.0%]

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

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From pepstein5@gmail.com@21:1/5 to Timothy Chow on Thu May 4 16:12:25 2023
    On Thursday, May 4, 2023 at 10:44:47 PM UTC+1, Timothy Chow wrote:
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 X-O: 0-0
    Cube: 2, X own cube
    X to play 21
    This problem falls in the category of, hitting loose while containing
    a single straggler. In positions like this one, the following crude heuristic is often surprisingly accurate:

    1. Assume that if you hit and are missed, you win, and that if you hit
    and are hit back you lose.

    2. Assume that if you don't hit, it's a pure race.

    In this position, the heuristic would suggest that hitting with 6/5 6/4* wins 5/9 of the time,

    Where does the 5/9 come from?

    Paul

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Stick Rice@21:1/5 to peps...@gmail.com on Fri May 5 00:50:59 2023
    On Thursday, May 4, 2023 at 7:12:26 PM UTC-4, peps...@gmail.com wrote:
    On Thursday, May 4, 2023 at 10:44:47 PM UTC+1, Timothy Chow wrote:
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 X-O: 0-0
    Cube: 2, X own cube
    X to play 21
    This problem falls in the category of, hitting loose while containing
    a single straggler. In positions like this one, the following crude heuristic is often surprisingly accurate:

    1. Assume that if you hit and are missed, you win, and that if you hit
    and are hit back you lose.

    2. Assume that if you don't hit, it's a pure race.

    In this position, the heuristic would suggest that hitting with 6/5 6/4* wins 5/9 of the time,
    Where does the 5/9 come from?

    Paul

    No idea. I would give him the benefit of the doubt that he meant 6/9ths but I feel like he would have simplified every day of the week so who knows.

    Stick

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to peps...@gmail.com on Fri May 5 04:26:51 2023
    On 5/4/2023 7:12 PM, peps...@gmail.com wrote:
    On Thursday, May 4, 2023 at 10:44:47 PM UTC+1, Timothy Chow wrote:
    1. Assume that if you hit and are missed, you win, and that if you hit
    and are hit back you lose.

    2. Assume that if you don't hit, it's a pure race.

    In this position, the heuristic would suggest that hitting with 6/5 6/4*
    wins 5/9 of the time,

    Where does the 5/9 come from?

    Sorry, that was a miscalculation.

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From pepstein5@gmail.com@21:1/5 to Timothy Chow on Fri May 5 02:54:44 2023
    On Friday, May 5, 2023 at 9:29:18 AM UTC+1, Timothy Chow wrote:
    On 5/4/2023 7:12 PM, peps...@gmail.com wrote:
    On Thursday, May 4, 2023 at 10:44:47 PM UTC+1, Timothy Chow wrote:
    1. Assume that if you hit and are missed, you win, and that if you hit
    and are hit back you lose.

    2. Assume that if you don't hit, it's a pure race.

    In this position, the heuristic would suggest that hitting with 6/5 6/4* >> wins 5/9 of the time,

    Where does the 5/9 come from?
    Sorry, that was a miscalculation.

    ---
    Tim Chow

    Also, the heuristic clearly doesn't work here, whether it leads to the correct action or not.
    We can't assume that if we hit and are hit back we lose. Because after we're hit back,
    we get yet another shot at the opponent's blotty inner board.

    Paul

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to peps...@gmail.com on Fri May 5 12:27:22 2023
    On 5/5/2023 5:54 AM, peps...@gmail.com wrote:
    Also, the heuristic clearly doesn't work here, whether it leads to the correct action or not.
    We can't assume that if we hit and are hit back we lose. Because after we're hit back,
    we get yet another shot at the opponent's blotty inner board.

    Yes. Nevertheless, I still believe that the most reliable way to
    analyze positions like this one OTB is to start with the heuristic,
    and make suitable case-by-case adjustments depending on the position.

    Evaluating winning chances OTB is typically a difficult task IMO, but
    this is one type of position where it's very much worth the attempt,
    both because it's hard for me to imagine arriving at a reliable
    decisions otherwise, and because it's a doable task. For half of the calculation, you're leveraging the known wisdom about winning chances
    in races, which is a powerful tool. For the other half, "hit = win"
    is usually a very good starting point for estimating winning chances.

    Positions like this one tend to be very sensitive to pip count, because
    races are very sensitive to pip count. As I said, it's hard for me to
    imagine an alternative approach that is as reliable as the one I've
    suggested here.

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Robert Zimmerman@21:1/5 to Stick Rice on Sat May 6 08:33:36 2023
    On Tuesday, May 2, 2023 at 5:35:06 PM UTC-4, Stick Rice wrote:
    On Tuesday, May 2, 2023 at 12:32:34 PM UTC-4, Robert Zimmerman wrote:
    On Tuesday, May 2, 2023 at 8:57:37 AM UTC-4, Timothy Chow wrote:
    XGID=-CBDaBB-----A-A----abacdc-:1:1:1:21:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O O O O |
    | | | O O O O |
    | | | O O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | | | X X | +---+
    | | | X X X X X | | 2 |
    | X | | X X O X X X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 67 O: 61 X-O: 0-0
    Cube: 2, X own cube
    X to play 21

    ---
    Tim Chow
    I think the split is for more desperate situations. Here you have a fair shot at a win going down the more conservative route given the race and likelihood that O will leave you a direct shot on the way out. If not, she'll increase her wastage before
    the bear off. Hold onto that five point board for the possibility of the direct shot. Owning the cube is advantageous here, and I'm not sure it's useful in the splitting scenario.
    Bob
    Is that your dmp play? And nobody ever does it for some reason, probably bc they're not good at it and don't think they can be I guess, but problems like this you should at least estimate, even if it's a wild estimate, how often do we win after play A?
    After play B? You can start with a simple question like "Am I favorite after this play?" And then hone in from there.

    Stick
    I was not thinking in terms of DMP. I thought to have a less volatile situation, where X doesn't create blots in his board, would favor the cube owner in terms of efficient cubes in a race. Evidently if that is true, it isn't sufficient to make a non-
    hitting play correct, probably because if there is not contact, X is too far behind in the race to have much recube vig.
    Bob

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to Robert Zimmerman on Sat May 6 11:55:13 2023
    On 5/6/2023 11:33 AM, Robert Zimmerman wrote:
    I was not thinking in terms of DMP. I thought to have a less volatile situation, where X doesn't create blots in his board, would favor the cube owner in terms of efficient cubes in a race. Evidently if that is true, it isn't sufficient to make a non-
    hitting play correct, probably because if there is not contact, X is too far behind in the race to have much recube vig.

    I agree with Stick that, at least in *this type of position*
    (late-stage containment, loose hit versus safe play), estimating
    winning chances is the way to go. Recube vig will then be taken
    into account implicitly when you analyze the "safe play" half of
    the equation using racing formulas.

    Gammons can also come into play in the calculation, but only as
    a second-order correction to the basic estimate of winning chances.

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Robert Zimmerman@21:1/5 to Timothy Chow on Sat May 6 09:19:59 2023
    On Saturday, May 6, 2023 at 11:56:21 AM UTC-4, Timothy Chow wrote:
    On 5/6/2023 11:33 AM, Robert Zimmerman wrote:
    I was not thinking in terms of DMP. I thought to have a less volatile situation, where X doesn't create blots in his board, would favor the cube owner in terms of efficient cubes in a race. Evidently if that is true, it isn't sufficient to make a non-
    hitting play correct, probably because if there is not contact, X is too far behind in the race to have much recube vig.
    I agree with Stick that, at least in *this type of position*
    (late-stage containment, loose hit versus safe play), estimating
    winning chances is the way to go. Recube vig will then be taken
    into account implicitly when you analyze the "safe play" half of
    the equation using racing formulas.

    Gammons can also come into play in the calculation, but only as
    a second-order correction to the basic estimate of winning chances.

    ---
    Tim Chow

    "Recube vig will then be taken
    into account implicitly when you analyze the "safe play" half of
    the equation using racing formulas. "

    NOW, I get it. I little slow.
    Bob

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