cherdano, on May 18 2008, 01:24 AM, said:
Let me give you one example. A few days ago, I heard about a double dummy simulation for a competitive auction. The hand that involved one suit AKJxxx, and another of KJx, and very likely dummy would have very few entries. So the simulation told us this hand would take 12 tricks 124% of the time (numbers evidently made up). Double dummy. Well, with this particular hand I would expect the double dummy declarer to do much better than a single dummy declarer, since declarer might have to guess very well for which queen to use the entry. How much? I have no clue.
But since double dummy declarers on average take as many tricks as single-dummy declarers, or because of some other statistical study Richard and others know about, I don't have to worry about that??
A simulation result does not equal proof. It is virtually impossible (IMO) that we can even prove that DD simulations give similar results as SD simulations in a great % of time. Best we can do is simulate, and there seems to be some empirical evidence which supports that statement, as hrothgar points out.
Simulations aren't the answer, they are a tool. It is upto you to give correct input, interpret and use the results of the simulation.
For instance, in the example you gave, what % of the hands will there be a guess for the Q (perhaps you can try simulating that)? Assuming the problem was vul small slam vs vul game in IMPS, even if that guessing % is say ~90% and the DD simulation says 100%, you should bid the slam. If you could tell that the guess % is more than, say 95% during the bidding itself, why do you even need a simulation?
If you can figure out something about the hand, which will affect DD vs SD simulation, incorporate it in your simulations. For instance, you could have done a simulation to find out the % of time you will need to guess the Q. This % combined with the DD result should determine your confidence in bidding the slam.
If you have absolutely no clue about a particular problem, then results of a correct simulation only increase you confidence in a certain solution to the problem. It still won't mean that it was the right solution, it would only mean that, it was the best solution you have based on the information at hand.
So if a DD simulation gives certain results, and there is empirical evidence that DD simulation gives approximately same results as SD, and you have absolutely no clue about the problem, then why won't you go with the results of the DD simulation? Giving just one sample situation (like the one you gave) does not contradict the DD = SD analysis which hrothgar was referring to.
What simulation to use is completely upto you. If you don't believe the DD vs SD simulation, why would you even try to do a DD simulation if you won't trust the results? For instance, Zia might possbily claim, that DD simulations are good for him, based on his table feel and all that... :-)
Again, simulations don't give proof. They are just a tool which provide information to help determine your confidence level in a certain hypothesis.
<That was a long post... sorry about that>