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


From: Joern Thyssen
Subject: Re: [Bug-gnubg] improvement of cubeful equities in match play bearoffs
Date: Thu, 3 Apr 2003 20:48:32 +0000
User-agent: Mutt/1.4i

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).

Jørn




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