MrAce, on 2011-January-02, 18:21, said:
No, I can not with 1000 deals. But double dummy works both ways. Declarer also does not play double dummy. The end result is that these errors tend to cancel each others. Tests have shown that double dummy result come close to average results at the table. At 3NT declarer makes slightly more often than double dummy suggests and in grand slams the defense does slightly better.
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No, of course not. I prefer simulation with typical 1000 deals to get statistical valid results. (variation is reasonably small) The drawback is that you can only look at samples but not at every deal and analyze it. The double dummy analyzer(deep finesse) just tells me how many tricks in hearts I get on each deal.
For my analysis I simply assumed that West would accept in 50% of the deals and exhibit excellent judgment and would not accept, unless there were at least 9 tricks available to declarer in ♥ and would always accept, when there were more. My experience is that most player accept invitations on many more hands.
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No I kept the simulation simple and I can refine it. But if you have 6 of your 13 cards in ♥ and 9-10 HCP only in very few deals will your suit be anything less than Qxxxxx. I can rerun my simulation, but I doubt it makes a difference
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No, but will you and partner know, when to prefer to stay in 3NT, when West holds a six or seven card ♥ suit?
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No. I kept it simple, there will be few deals were partner will have 4 cards in ♠ besides 6 cards in hearts.
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My analysis assumed simply that partner would bid 4 ♥ on 50% of the random deals and that he would always accept when there are 10 tricks or more available and never accept, if 3♥ would already go down. In other words my analysis assumed partner would exhibit perfect judgment.
The results in practice will be less good for the inviter.
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Double dummy results work both ways. Perfect defense and perfect declarer play. For example declarer always finds a trump queen. Checks have shown that these assumption are wrong of course, but tend to cancel each others and double dummy results come very close to what will happen on average in practice, when a board is played a number of times (except for grand slams).
I am open, I did not try to make assumptions so that the simulation results would support my assessment. I was interested in an unbiased outcome. I can change or refine any of my assumptions and rerun the simulation.
Rainer Herrmann