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Re: [Bug-gnubg] More than 2?


From: Christian Anthon
Subject: Re: [Bug-gnubg] More than 2?
Date: Tue, 5 Aug 2008 14:37:06 +0200

Hi Achim,

the reason is that the gammon-value is about 0.75 at the score
compared to the normal 0.5. This means that winning 2 points is more
than twice as valuable as winning 1 point and since the base for
calculating the EMG number is winning 1 point, you end up with a
equity higher than 2.

Christian.

On Mon, Aug 4, 2008 at 3:14 AM, Mueller Achim <address@hidden> wrote:
> Hi folks,
>     GNU Backgammon  Position ID: 7wAAALZzhgUAAA
>                     Match ID   : cIlmAAAAAAAA
>     +24-23-22-21-20-19------18-17-16-15-14-13-+  O: xxx
>  OO | O  O             |   |                X |  0 points
>  OO | O  O             |   |                  |
>  OO | O  O             |   |                  |
>   O | O                |   |                  |
>   O |                  |   |                  |
>     |                  |BAR|                  |v 3 point match (Cube: 1)
>     |                  |   |                  |
>     |                  |   |                  |
>     |          X     X |   |                  |
>     |    X  X  X     X |   |    X           X |  Rolled 51
>     |    X  X  X     X |   |    X           X |  0 points
>     +-1--2--3--4--5--6-------7--8--9-10-11-12-+  X: yyy
>     1. Rollout          12/6                         Eq.:  -2.018
>        0.000 0.000 0.000 - 1.000 0.671 0.000 CL  -2.018 CF  -2.018
>       [0.000 0.000 0.000 - 0.000 0.002 0.000 CL   0.004 CF   0.004]
>         Truncated cubeful rollout (depth 8) with var.redn.
>         216 games, Mersenne Twister dice gen. with seed 834643698 and
> quasi-random dice
>         Play: world class 2-ply cubeful prune [world class]
>         keep the first 0 0-ply moves and up to 8 more moves within equity
> 0.16
>         Skip pruning for 1-ply moves.
>         Cube: 2-ply cubeful prune [world class]
>     2. Rollout          13/8 12/11                   Eq.:  -2.086 ( -0.068)
>        0.000 0.000 0.000 - 1.000 0.716 0.000 CL  -2.086 CF  -2.086
>       [0.000 0.000 0.000 - 0.000 0.003 0.000 CL   0.004 CF   0.004]
>         Truncated cubeful rollout (depth 8) with var.redn.
>         216 games, Mersenne Twister dice gen. with seed 834643698 and
> quasi-random dice
>         Play: world class 2-ply cubeful prune [world class]
>         keep the first 0 0-ply moves and up to 8 more moves within equity
> 0.16
>         Skip pruning for 1-ply moves.
>         Cube: 2-ply cubeful prune [world class]
>     3. Rollout          13/7                         Eq.:  -2.109 ( -0.090)
>        0.000 0.000 0.000 - 1.000 0.731 0.000 CL  -2.109 CF  -2.109
>       [0.000 0.000 0.000 - 0.000 0.003 0.000 CL   0.005 CF   0.005]
>         Truncated cubeful rollout (depth 8) with var.redn.
>         216 games, Mersenne Twister dice gen. with seed 834643698 and
> quasi-random dice
>         Play: world class 2-ply cubeful prune [world class]
>         keep the first 0 0-ply moves and up to 8 more moves within equity
> 0.16
>         Skip pruning for 1-ply moves.
>         Cube: 2-ply cubeful prune [world class]
>     4. Cubeful 2-ply    12/11 8/3                    Eq.:  -2.110 ( -0.091)
>        0.000 0.000 0.000 - 1.000 0.732 0.000
>         2-ply cubeful prune [world class]
>     5. Cubeful 2-ply    13/8 2/1                     Eq.:  -2.137 ( -0.118)
>        0.000 0.000 0.000 - 1.000 0.749 0.000
>         2-ply cubeful prune [world class]
>
>
> How can the equity be more than -2?
> Ciao
> Achim
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