Janowski's Formulas - Part 2
by Douglas Zare
22 August 2002

Douglas Zare
Nothing is better than world peace.
A ham sandwich is better than nothing.
Therefore...
-- An old
joke.A few months ago, we looked at
Janowski's
take point formula. This is one of the components of the
algorithm some bots use to convert a distribution of backgammon,
gammon, and ordinary wins and losses to an equity with the cube in
play. In this article, we will consider Janowski's formulas for cubeful
equity when not too good to redouble and the redoubling point.
Warning: As a mathematician, I find the material in this article tough,
and it is not directly applicable over the board. If you aren't sure
you want to know how sausage is made, then as a first pass you might
just look at the sample positions, the commentary on position 3, the
"surprising note," and the summary
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