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Cubeless matches?

Posted By: NJ
Date: Sunday, 23 May 2010, at 7:02 p.m.

In Response To: Cubeless matches? (bob koca)

Does anyone have a MET for those cubeless tournaments? Seems like the theory is much less advanced.

Backgammon NJ has a cubeless MET because there is an option to play a match without a doubling cube. The cubeless MET is actually a lot easier to create than the regular MET. You can do it with one formula, if you assume constant win/gammon rates:

MET[X][Y] = W*MET[X-1][Y] + G*MET[X-2][Y] + B*MET[X-3][Y] + W*MET[X][Y-1] + G*MET[X][Y-2] + B*MET[X][Y-3]

Where:

MET[X][Y] is the MET value for -X away, -Y away

W = Win rate excluding gammons/backgammons

G = Gammon rate excluding backgammons

B = Backgammon rate

I created a sample spreadsheet here:

Cubeless MET spreadsheet on Google Docs

This spreadsheet has W=36% G=13.5% B=0.5%, but there is an option to download the spreadsheet if you want to adjust the numbers.

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