| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 35 | ||
| # | Ply | Move | Equity | |
| 1 | 3 | 6/off | 44.83% | |
| 0.0% 0.0% 47.6% 52.4% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 2 | 3 | 5/off 3/2 | 44.00% (-0.84%) | |
| 0.0% 0.0% 45.4% 54.6% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 3 | 2 | 5/off 2/1 | 43.82% (-1.01%) | |
| 0.0% 0.0% 45.0% 55.0% 0.0% 0.0% | ||||
| Comment |
| This is the position where Chris Ternel rolled 51 and
made a blunder 6/1 6/5. This is a technical position and it is an interesting study. Bearing a checker off is better than not. So 5/0,5/4 is better than 6/1 6/5. With 7 Black checkers off White is just a small favorite before the roll. Now that White rolls medium (high and low) and is able to pick only one checker, White is already the underdog, because he is forced to open his board. If Black enters, he will be a huge favorite. White would prefer to be hit in such a case in order to be able to meet Black's inside blot or the back checker. What is the better point to leave slotted, the 5 or the 6? The 6, because it maims a higher number - 6 and because it is more flexible and economic to play next turn. Before deciding to bare-off or not, white needs to estimate how desperate his position is. The less desperate, the less he is inclined to bare-off.
|
| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 32 | ||
| # | Ply | Move | Equity | |
| 1 | 3 | 5/off 5/4 | 43.50% | |
| 0.0% 0.0% 44.1% 55.9% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 2 | 3 | 6/off | 43.22% (-0.28%) | |
| 0.0% 0.0% 43.4% 56.6% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 3 | 2 | 5/off 2/1 | 42.59% (-0.90%) | |
| 0.0% 0.0% 41.7% 58.3% 0.0% 0.0% | ||||
| Comment |
| .If Black has 7 checkers off and no blot, the safe
play is best, but by a "doubtful margin". This is the real PIVOTAL POSITION. No wonder In January 2010 Stick Rice's XG rollout showed it to be a bare-off. |
| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 31 | ||
| # | Ply | Move | Equity | |
| 1 | 3 | 6/off | 40.65% | |
| 0.0% 0.0% 36.6% 63.4% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 2 | 3 | 5/off 5/4 | 40.27% (-0.38%) | |
| 0.0% 0.0% 35.6% 64.4% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 3 | 2 | 5/off 3/2 | 39.77% (-0.88%) | |
| 0.0% 0.0% 34.2% 65.8% 0.0% 0.0% | ||||
| Comment |
| .Take one more Black checker off (8 black checkers
off). On a 51 roll Black would rather leave a challenge blot again 6/0 even without an inner Black blot. 0.024 better than 5off, 5/4 |
| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 30 | ||
| # | Ply | Move | Equity | |
| 1 | 3 | 6/off | 36.95% | |
| 0.0% 0.0% 26.8% 73.2% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 2 | 3 | 5/off 5/4 | 36.36% (-0.59%) | |
| 0.0% 0.0% 25.2% 74.8% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 3 | 2 | 5/off 3/2 | 36.09% (-0.86%) | |
| 0.0% 0.0% 24.5% 75.5% 0.0% 0.0% | ||||
| Comment |
| With 9 black checkers off the non-lift is 0.038 better. Playing "safe" is
nearly a blunder. |
| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 36 | ||
| # | Ply | Move | Equity | |
| 1 | 3 | 6/off | 49.76% | |
| 0.0% 0.0% 58.1% 41.9% 0.0% 0.0% | ||||
| Full 3-ply,
100%. | ||||
| 2 | 2 | 5/off 2/1 | 48.50% (-1.26%) | |
| 0.0% 0.0% 56.6% 43.4% 0.0% 0.0% | ||||
| 3 | 2 | 5/off 3/2 | 48.44% (-1.31%) | |
| 0.0% 0.0% 56.6% 43.4% 0.0% 0.0% | ||||
| Comment |
| Let us move in the opposite direction With 6 Black checkers off ( one less compared to the original position AND THE SAME BLOT, it is the same big blunder (-0.110). not to leave the blot with 6 black off. |
| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 33 | ||
| # | Ply | Move | Equity | |
| 1 | 2 | 5/off 5/4 | 50.15% | |
| 0.0% 0.0% 59.2% 40.8% 0.0% 0.0% | ||||
| 2 | 2 | 6/off | 48.40% (-1.75%) | |
| 0.0% 0.0% 54.0% 46.0% 0.0% 0.0% | ||||
| 3 | 2 | 6/1 6/5 | 46.86% (-3.29%) | |
| 0.0% 0.0% 53.0% 47.0% 0.0% 0.0% | ||||
| Comment |
| The other side of the coin If Black has only one less checker off and no Black blot (6 checkers off), White would rather play safe. White has certainly more chances to roll higher than to meet a Black checker. This means that the position is a benchmark. |
| (Brown) vs. (White) |
| 21 point Match |


| Pip: 50 | ||
| Game
1 21 point match Brown-White: Score 7-5 | ||
| Pip: 34 | ||
| # | Ply | Move | Equity | |
| 1 | 1 | 5/off 5/4 | 53.03% | |
| 0.0% 0.0% 69.3% 30.7% 0.0% 0.0% | ||||
| 2 | 1 | 6/1 6/5 | 50.83% (-2.20%) | |
| 0.0% 0.0% 63.5% 36.5% 0.2% 0.0% | ||||
| 3 | 1 | 6/off | 50.40% (-2.63%) | |
| 0.0% 0.0% 62.4% 37.6% 0.0% 0.0% | ||||
| Comment |
| The other side of the coin 2. If Black has only one less checker off (5 checkers off, no blot), White would rather play safe again. He is the favorite and even if Black enters Black cannot gain a decisive advantage. White has certainly more chances to roll higher than to meet a Black checker. This means that the initial position is a benchmark. With only 6 Black checkers off, even an inner blot would not induce White to leave a voluntary blot. With as much as 9 Black checkers off, White would rather blot even without a Black inner blot. |
| Aftermath
In the meantime more systematic concept was developed, showing that the desision to bare-off or not depends on 1. difference of checkers off, 2. state of opponent's board (number of points, blot). 3. Ownership (or not) of a "speedboard". A speedboard is a board with surpluses on the higher points so one bares off without opening new entry points for the opponent. The opposite of speedboard is the stripped board with supluses on the ace point. A speedboard improves position and dissuades from bare-off.
In 2006
Francois Tardieu wrote this. In January 2010 Same theme in the BgOnline forum. I saw a similar discussion on Robertie's BB in 2plus2 in December 2009
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