Your idea of setting up O to kill gammons with a cube to 8 inorder to find a
correct double/beaver if there are table stakes is good.You seem to think the
existence of such a position would be surprising to many but of course if you
change the rules by introducingtable stakes new things might happen.
Your position does not succeed in your quest though. It is not a double and
doubling would actually be a big error theoretically (if opponent does notknow
to beaver then it would be practically correct play). If there is a double then
opponent could beaver. It is not optimalbut the oppponent could just always
double next shake to 8 giving a position in which the cube is out of play and
gammons/backgammons don't count extra. The opponent could stay to the last
checker going for the win. It is close to a 50-50 position then. Clearly X
could do betterby holding the cube and having the bonus wins count.
Bob Koca
> ----------------------------------------------------------------------> >
> Message: 1> Date: Sun, 23 Nov 2008 12:13:00 +0100> From: "Thomas Koch"
> <[EMAIL PROTECTED]>> Subject: [Bug-gnubg] table stakes beaver> To:
> "[email protected]" <[email protected]>> Message-ID:> <[EMAIL PROTECTED]>>
> Content-Type: text/plain; charset="iso-8859-1"> > In order to analyse
> positions with table stakes using gnubg, I put together> a special met
> (http://page.mi.fu-berlin.de/tkoch/Backgammon/limit8.xml). Now> I was
> wondering if this position> > X on roll, cube decision?> > GNU Backgammon
> Position ID: bNsIADa8HQAAAA> Match ID : cAkAAAAAAAAA>
> +24-23-22-21-20-19------18-17-16-15-14-13-+ O: Alice> | O O O O | | O O | 0
> points> | O O O O | | O |> | | | |> | | | |> | | | |> | |BAR| |v (Cube: 1)> X
> | | | |> X | X | | |> X | X X | | |> X | O O X X X | | | On roll> XX | O O X
> X X | | | 0 points> +-1--2--3--4--5--6-------7--8--9-10-11-12-+ X: Bob> Pip
> counts: O 154, X 35> > Output generated Sat Nov 22 19:34:37 2008> by GNU
> Backgammon 0.16-devel (Text Export version 1.76)> > is a correct
> double/beaver even without Jacobyrule if the table stakes are> set to 8 times
> the initial stakes (it is on snowie 3ply)!? But of course> using a met makes
> gnubg work in match mode so beavers are not allowed. Is> there a way to allow
> for beavers even in a match? If not, how can I deduce> from the results of
> the rollout if a beaver would be correct?> > Cube analysis> Rollout cubeless
> equity +0.498 (Money: +0.499)> > Cubeful equities:> 1. Double, take +0.594>
> 2. Double, pass +1.000 ( +0.406)> 3. No double +0.520 ( -0.073)> Proper cube
> action: Double, take> Rollout details:> Centered 1-cube:> 0.538 0.295 0.129 -
> 0.462 0.000 0.000 CL +0.498 CF +0.520> [0.003 0.002 0.002 - 0.003 0.000 0.000
> CL 0.008 CF 0.017]> Player Alice owns 2-cube:> 0.553 0.295 0.136 - 0.447
> 0.000 0.000 CL +1.067 CF +0.594> [0.004 0.003 0.002 - 0.004 0.000 0.000 CL
> 0.018 CF 0.027]> > Thanks!> > Thomas Koch> > > -- > Backgammon in Berlin:
> http://berlinbg.wordpress.com> Der Backgammon Blog:
> http://graswurzelbackgammon.wordpress.com> -------------- next part
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> of Bug-gnubg Digest, Vol 72, Issue 16>
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