Posted 2009-March-06, 10:49
I think that the limit raise camp (and the drive to game camp) are over valuing the 5th trump in a balanced hand. So, I broke out the double dummy sim.
When opener is 5♥332 with 11-14 HCP, there are 8 or fewer tricks in hearts 32%, 9 tricks 45% and 10+ tricks 23%. When the 11 point hands are eliminated, there are 8 or fewer tricks available 23% of the time.
When opener is 5♥431 with 11-14 HCP, there are 8 or fewer tricks in hearts 11%, 9 tricks 30% and 10+ tricks 59% of the time. Eliminate the 11 point hands and there are 8 or fewer tricks available 7% of the time.
When opener is 5♥332 or 5♥431 with 11-14 HCP, there are 8 or fewer tricks in hearts 23%, 9 tricks 39% and 10+ tricks 38% of the time. Eliminate the 11 point hands and there are 8 or fewer tricks available 16% of the time.
To compare a limit raise to a single raise, suppose opener is 5332 and accepts a limit raise whenever he has 14 HCP (game here is 47% -- with 13 HCP game is only 28%) otherwise declines. Suppose also, that at the other table, responder makes a single raise and opener always passes. We end up -1.1 IMPs per board when opener is 11-14 and -0.5 IMPs per board when opener is 12-14.
Now do the same thing, but assume opener is 5431. This time, we want to accept the limit raise whenever opener has 12 (game is 54%), 13 (game is 71%) or 14 (game is 80%). Now we're +3 IMPs/board when opener is 11-14 and +4.7 IMPs/board when opener is 12-14.
When the 5431 & 5332 hands are combined*, we want to accept game when opener has 13 (game is 46%) or 14 (game is 63%), but not when he has 12 (game is 33%) or 11 (game is 19%). Here we end up +0.25 IMPs/board when opener is 11-14 and +1.1 IMPs/board when opener is 12-14.
So, seems like those who want to treat this as a limit raise are correct.
* This is not 1000 5332 hands plus 1000 5431 hands, but rather 1000 hands that are either 5431 or 5332. It's actually 5332 about 55% and 5431 about 45% of the time. The IMPs/board figures could be improved up by accepting with 5332 14 counts and 5431 12-14 counts, but the way I set up the sim, I could not separate these from the combined group. Since the sim suggests treating this as a limit raise even with this handicap, I'm not going to rewrite the sim to separate them out.
What about just bidding game? In the combined group, always bidding game is -0.1 IMPs/board with 11-14 and +1.2 IMPs/board when opener is 12-14. When opener is 12-14, that's almost identical to the limit raise approach (but remember the limit raise approach is artificially low).
It seems to me that whether blasting game or involving partner is the right approach may depend upon how sound your opening bids are. If you open most 5332 11 counts with five hearts, perhaps the limit raise is correct; if you pass a lot of 5332 11 counts with 5 hearts, then just bidding game may be just as good as (or better than) a limit raise.