fromageGB, on 2013-February-09, 05:26, said:
While I can intuitively see that with a marginal game 3NT is better than 4♠ because NT makes on average 8.7 tricks and spades 9.4, I am not convinced when there are a few more points in the hands. For example, with a 27 count, perhaps the probabilities change to NT=9.3 and ♠=10.1. Now you get 3NT making 9 for 400 and 4♠ making 10 for 430.
At IMPs it would be better for the security of the NT contract, but at matchpoints 4♠ is the winner, even if 1 in 3 of the NT contracts makes 10 tricks. I think this means that in MP pairs you should be concerned about this issue only when game is borderline.
I believe you are wrong.
Summary double dummy simulations are not as easy to interpret for matchpoints than for IMPs.
For the sake of the argument if you make say 0.2 tricks more on average over a large number of deals in a major suit game contract than in 3NT it is better playing notrump because in the majority of deals you will make the same number of tricks in both contracts.
Obviously you need to make more than 0.5 tricks per deal on average before it is worthwhile playing a major suit game instead of 3NT.
But even that is too low, because single dummy declarer makes about 0.2 tricks more in 3NT than double dummy, while there is no such difference between single dummy and double dummy in a major suit game.
This difference is probably due to the fact that the opening lead in 3NT is on average more crucial than in a trump contracts and no defense finds the right lead all the time.
So my yardstick that 4M should be preferred over 3NT in double dummy simulation is, if the average trick difference is at least 0.7.
This of course is a simplification, since on some deals there is more than a one trick difference between 3NT and 4M, but I do not think this has a big impact on the numbers and again it is more likely to favor 3NT. If you are making less tricks in 3NT at matchpoints it is of little consequence for your matchpoint score whether you are off by one or more tricks.
Now it is well known that when the total combined HCP holding rises the chances getting an additional tricks from trumps tends to diminish, again favoring 3NT.
I repeated the simulation but with 27 HCP combined.
The result over 1000 deals:
3NT made on 879 deals while 4
♠ made on 846 deals
Average number of tricks in 3NT was 9.628 while the number of trick in
♠ 10.145
As expected the trick difference dropped from 0.7 in my previous simulation with 25 HCP combined to 0.5
According to my yardstick this does not justify to prefer the major in the long term matchpoint wise.
Rainer Herrmann