gszes, on 2013-October-13, 19:14, said:
your statistical analysis is quite correct and an X of 5d at MP is much more practical since
we rate to gain MP 70% of the time. At IMPS however, such a strategy is hopeless since
(even sans xx) we are expecting mostly small gains measured against large losses. By
passing with these weakish hands and saving our x for strong playing hands we may be
able to confidently bid small and even grand slams that are ridiculous to bid if we use the
weak standard shown as the minimum for x. At IMPS it would be vastly more preferable to
suffer moderate to small losses 30% of the time while picking up moderate to huge gains
the other 70% of the time.
So we are to refrain from doubling unless slam is 70% on a random hand; I thought the norm was
the HCP of a strong NT. I am assume that if you have the cards for a strong try, you will
usually be able to defend for approx. the same level of score, only a slam will produce sizable
gains over 70%. Or a double game swing.
I also disagree that the statistical analysis of the model is a correct approximation of the real
world problem. If we pass preemptor's partner has a good knowledge of the opening bid, will often
bid the good slams. The imp value of 5
♦making 6 is about the same as bidding
and making slam. For those hands, no negative imo ev for our double. Also, if we pass balancer
will frequently be able to make a double, producing no positive imp ev for our bid, as the contract
will still be the same. I think adding the analysis of decision rules for these two actions will
provide a better estimate of the imp ev of the double for the given hand. I think that the modeling
these two effects would produce
Once we know whether this hand is + imp ev, we can test similar hands to refine a model of minimum
+ev hands with similar offensive values, so partner can accurate know what his expectations of bidding
over the double.
Finally we will test the model by comparing auctions comparing our new ranges versus the assumed standard
ranges bidding random hands after the given 5
♦ opener.