Anfang der weitergeleiteten E-Mail:
Von: "Rick Janowski" <[email protected]>
Datum: 3. Oktober 2009 17:29:30 MESZ
An: <[email protected]>
Betreff: Cubeful Equities in GNU
Hi Achim,
I recently downloaded GNU backgambmon and was gratified that the
programmers have made use of my work on doubling cube models and
have made appropriate acknowledgement.
As you may be aware, I did quite a lot of work with Snowie over a
short period six or seven years ago in helping them develop cubeful
models for matches. The general approach, for both money and match
play, was to estimate equities where the cube is fully dead or fully
live for both players. The effective equity was then interpolated
between these two extremes based on cube-usage factors (dependent on
future volatility and other similar factors). The developers of
Snowie considered both the simple case of a cube usage value (ie,
for both players) and two separate values (ie, separate for each
player).
Looking over my work more recently, I came to the conclusion that my
way of looking at the refined model (with separate values for cube
usage for both players) was flawed to some extent, particularly with
regard to cube-centred equities. I had originally considered
interpolation only between the two extreme cases of dead-dead and
live-live cube values. In reality there are four extreme cases:
Dead-Dead Cube dead to both players
Dead-Live Cube dead to Player 1 but fully live to Player 2
Live-Dead Cube fully live to Player 1 but dead to Player 2
Live-Live Cube fully live to both players
These four points may be imagined as four corners of a rectangle,
with Player 2 cube-liveness being the measure on the axis of Dead-
Dead to Dead-Live. Similarly, Player 1 cube-liveness being the
measure on the axis of Dead-Dead to Live-Dead.
I would be interested in your ideas on the value of developing this
approach.
Could you advise me on how I can incorporate within GNU the
following downloads from your website:
* One-sided race database reaches the midpoint - A one-sided race
database that extends to the 13-point is now available for download.
* 11.1.2 Download You may download the two sided database with 6
checkers on 6 points from ftp://alpha.gnu.org/gnu/gnubg/gnubg_ts0.bd.gz
and the one sided database with 15 checkers 6 points fromftp://alpha.gnu.org/gnu/gnubg/gnubg_os0.bd.gz
.
Regards,
Rick Janowski
--
achim mueller, ederweg 3, D-48431 rheine
+49 (0)5971 83767, +49 (0)163 8458340
-------------------------------------------------
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