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Position Classique, Coup Classique, or Whatever the Correct Name Is

Posted By: Daniel Murphy
Date: Monday, 3 May 2010, at 11:16 p.m.

In Response To: Position Classique, Coup Classique, or Whatever the Correct Name Is (Bill Riles)

Is it worth staying if the bg costs you the match?

It depends on the score. At 8-8/13 I'd stay. At 13-9/15 I'd run.

If (assumption) Stay -> BG 18%, Save gammon 32%, Win 0%

Then

at 8-8/13 you're risking 18%*16* = 2.9% ME to gain 34%*19% = 6.5% ME. Staying gains 3.6% ME.

But

at 13-9/15 you're risking 18%*50% = 9% ME to gain 34%*17% = 5.8% ME. Staying loses 3.2% ME.

Instead of those assumptions, we can plug in estaimtes for how often Blue actually wins, loses gammon or loses backgammon if he stays.

If Blue had a perfect board, I'll use these bot results:

Run -> Lose gammon 100% -> 16% ME at 8-8/13, 50% ME at 13-9/15.

Stay -> Win 7%, Lose Single 25% Lose gammon 60%, Lose backgammon 18%

-> at 8-8/13

(7% * 100%) + (25% * 35%) + (60% * 16%) + (18% * 0%) = 25% ME

-> at 13-9/15

(7% * 100%) + (25% * 67%) + (60% * 50%) + (18% * 0%) = 48% ME

So, at 8-8/13, staying is clearly right, and at 13-9/15, running is slightly right.

However, Blue didn't have a perfect board. In the actual position, staying won't win 7%, and will lose more than 60% gammons and 18% backgammons, since hitting won't guarantee saving either of them.

Without plugging in guesstimates of how Blue would do with his actual 6-5-4-1 board (5-5 has made the acepoint), I'm going to stop here and guess that staying is still pretty clearly right at 8-8/13, and more wrong at 13-9/15.

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