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Re: [Bug-gnubg] improvement of cubeful equities in match play bearoffs

From: Joseph Heled
Subject: Re: [Bug-gnubg] improvement of cubeful equities in match play bearoffs
Date: Sat, 05 Apr 2003 08:36:33 +1200
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.2) Gecko/20021202

So lets recap:

eq(cubeful) - from the 2 sided database. This was computed for money, but assuming cube is 1 or 2 (am I right? otherwise you need to save equities for 2,4,8,16 etc)

eq(fully live cube) - from the theoretical model, assuming continuity and perfect recubes points.

eq(cubeless) - from the database.

You probably want to check uneven scores, i.e. ones where gammon price is very different from money.


Joern Thyssen wrote:
On Fri, Apr 04, 2003 at 08:21:18AM +1200, Joseph Heled wrote

Sounds great. Can you tell more about the theoretical side, i.e. how do you get X from the equities?

For owned cube and unavailable cube the Janowski formula is

eq(cubeful) = (1-x) eq(cubeless) + x eq(fully live cube)

For centered cube the above formula is a reasonable approximation, so I
use it there as well.

I've got eq(cubeful) from the two-sided bearoff database, and
eq(cubeless) and eq(fully live) can also easily be calculated, so it's
trivial to calculate X.

I then feed X into the match play formula:

mwc(cubeful) = (1-x) mwc(cubeless) + x mwc(fully live cube).


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