https://youtu.be/R7WQoPS5dVw?t=1855
I found the above position interesting and was wondering what
Jason Pack was going to do. Of course, Axelisation is no longer
a simple algo in match play.
"peps...@gmail.com" <peps...@gmail.com> writes:
https://youtu.be/R7WQoPS5dVw?t=1855
... which translates to
GNU Backgammon Position ID: 2QEAgGwCAAAAAA
Match ID : AQEgAQAAEAAA
+-1--2--3--4--5--6-------7--8--9-10-11-12-+ O: jason (Cube: 2)
OO | O O O O | | | 0 points
OO | O O | | | On roll
OO | | | |
OO | | | |
O | | | |
| |BAR| |^ 9 point match
X | | | |
XX | | | |
XX | X | | |
XX | X X | | |
XX | X X X | | | 2 points
+24-23-22-21-20-19------18-17-16-15-14-13-+ X: mochy
Pip counts: O 21, X 19
in ASCII.
I found the above position interesting and was wondering whatWell, it is, but first you have to come up with the doubling window. At -9/-7 I would not bother wasting precious seconds (or is it rather
Jason Pack was going to do. Of course, Axelisation is no longer
a simple algo in match play.
minutes?) with match equity calculation, so let us assume that Jason
somehow knew his doubling point of about 48 % and his cash point of
about 77 %. For an efficient cube you want to double right at the cash point, but there are certainly market losers, so the closer you get to
the end of the game, the closer you will double right at the doubling
point.
If you use Isight with the distinction between long and short races
(last page of my article) it gives an estimate of 69.6 % winning chances (the truth is about 5 points fewer). Is this close enough to the cash
point at this stage of the game? I have no idea, but probably would
apply Woolsey's Rule and double (maybe Mochy does not want the
volatility of a 4-cube and drops?).
All this holds only for perfect play on both sides. Now the elephant in
the room in the Match Equity Table. I do not know about Jason, but I certainly have 100 ELO disadvantage against Mochy, very likely more. If
you change GNU Backgammon to the 100-ELO-difference MET of Jacobs and
Trice, then the doubling point immediately decreases to 40 % and the
cash point to 73 %. This amounts to a very strong double.
If only I knew
1. the ELO difference between me and my opponent and
2. how to calculate the doubling window for it
...
So over the board it certainly boils down to hand-waving, gut feeling
and psychology.
Best regards
Axel
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