kfgauss, on May 8 2006, 07:03 PM, said:
foo, on May 8 2006, 06:38 PM, said:
Pass 3DX.
Is it guaranteed to work? Nope. Will you sometimes get a bad score? Yep.
But it is the percentage action.
Pass is likely best at MPs (we've probably lost the board already if we have to bid 3S), but at imps I'm willing to hope they won't double me in 3S and not willing to give up 3Dx= more than half the time.
I admit I'll perhaps be doubled when I'm down 3 or more in 3S. This is a nasty situation and I'm not certain passing is best given the various factors. A simulation could be interesting.
Andy
Simulation results:
I had Jack analyze 1000 deals. Expected total points:
3Dx: -374
4C(x or not depending on actual hand): -1151
So they do make 3D often, but bidding 4C is terrible (Jack only considered bidding 4C, not 3S).
To see how 3S does vs 3D and prune out hands that Jack shouldn't have been including, I looked at 10 hands, throwing ones out that would've been bid differently by humans. The results:
3Dx+1: 1
3Dx= : 6
3Dx-1: 3
Expected total points: -309
3S-1: 2
3S-2: 3
3Sx-3: 3
3Sx-4: 2
Expected total points: -350
(The times I thought they'd double exactly coincided with the times we were going down 3 or more, which makes sense.)
Expected total points is a reasonable way to measure this (as opposed to imps) because we have no idea what's going on at the other table.
Thus I stand corrected and, at least against opponents who aren't afraid to double, one should just pass out 3Dx according to my simulation.
Andy
Edit: These results are very close, of course, and the sample size is small. Also, there were hands where one needed to defend well to set, such as:
Partner leads
♠J and dummy is Q98x J9xx J KQxx. Declarer plays low from dummy. What's your plan?
Solution hidden: