Chouettes

 California rule

 From: Peter Anderson Address: pander612@hotmail.com Date: 27 November 2001 Subject: "California" rule for chouette Forum: rec.games.backgammon Google: IMSM7.460\$Lk.138884@dfiatx1-snr1.gtei.net

```In chouette play, sometimes we play what we call a "California" rule
(don't know why it's called that)

Goes like this:

On the opening roll, the winner can either play the roll like normal, or
has the option of rerolling (with both dice) if the cube is turned (and
stays in the middle).

Local strategy in this loose game is as follows:

If you win the opener with a natural 3-1, 4-2, or 6-1, take the roll.
Otherwise turn the cube and re-roll.

Does anyone know if this is optimum?
```

 Gary Wong  writes: ```GNU Backgammon thinks so. Assuming you're not allowed doubles on the reroll, its cubeless evaluation of the equity being on roll in the starting position with a centred 2-cube is +0.069, whereas the equities after each of the 15 legal opening rolls are: 31: 8/5 6/5 +0.108 61: 13/7 8/7 +0.078 42: 8/4 6/4 +0.077 65: 24/13 +0.065 53: 8/3 6/3 +0.037 54: 24/20 13/8 +0.031 62: 24/18 13/11 +0.024 63: 24/18 13/10 +0.023 64: 24/18 13/9 +0.021 32: 24/21 13/11 +0.017 43: 24/20 13/10 +0.016 52: 24/22 13/8 +0.013 51: 24/23 13/8 +0.008 21: 24/23 13/11 +0.002 41: 24/23 13/9 -0.001 So only 31, 61 and 42 are better than rerolling with a centred 2-cube. (65 is very close.) ```

 Peter Anderson  writes: ```Thanks Gary. Exactly what I was wondering. However, the re-roll IS allowed doubles. How does that change the strategy? ```

 Gary Wong  writes: ```If doubles are allowed, then gnubg thinks it is always better to turn the cube and re-roll than to play the first roll you get. The combination of the chance of the 6 possible doubles and the benefit of increasing the stakes in a position where you have an advantage without forsaking cube access is too valuable to keep even a initial 31. (To be precise, its evaluation of the cubeless equity for being on roll in the starting position when doubles are permitted is 0.061 on a 1-cube, and so 0.122 on a 2-cube. This is greater than the equity following any of the non-double opening rolls on a 1-cube, including 31 which is worth 0.108.) Cheers, Gary. ```

### Chouettes

Automatic doubles with carryover  (Alexander Zamanian, Jan 1999)
California rule  (Peter Anderson+, Nov 2001)
Captain drops and others take  (Grafix8888+, Sept 2000)
Chouette cube strategy  (Stanley E. Richards+, Mar 2011)
Cube proxy  (Ilia Guzei+, June 2003)
Dream chouette  (Phil Simborg+, Sept 2009)
Extras  (Daniel Murphy, Feb 1997)
Extras  (Albert Steg, July 1996)
Extras  (Anthony R Wuersch, Mar 1995)
Fish-hunt rules  (Chuck Bower+, Feb 2006)
Interlocking chouette  (wintom+, Jan 2008)
Jacoby rule  (Doug Doub+, Aug 2005)
Legal plays only  (Gregg Cattanach+, Aug 2001)
Los Angeles Rules  (Joe Russell, Apr 2013)
Los Angeles Rules  (Justin N.+, Aug 2011)
Lure of the chouette  (Bob Koca+, July 2004)
Mandatory beaver  (Roland Scheicher+, Mar 2002)
Mandatory beaver  (David Montgomery, Jan 1999)
Money management  (Albert Steg, Sept 1998)
Online chouette rules  (John Graas, July 2003)
Order of succession  (leobueno+, Aug 2011)
Order of succession  (Albert Steg, June 1995)
Procedure when captain doubles  (Bill Riles+, Feb 2010)
Split cube actions  (Neil Kazaross, June 2003)
Strategy  (Michael J. Zehr, Sept 1998)
Variable stakes  (Christopher Yep+, Apr 2000)
Waiting for teammate to double  (Øystein Johansen+, July 2001)
When box takes a partner  (Dan Pelton+, Mar 2009)
When does player retain the box?  (Daniel Murphy, Jan 1997)
When is consulting allowed?  (Dave+, Mar 2000)