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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: Fri, 04 Apr 2003 10:38:03 +1200
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.2) Gecko/20021202

I thought eq(cfully live cube) would not be "easy".

Anyway, have you staged a large nnumber of matches between the two strategies, to see that it really works?


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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