Hand evaluation algorithms
#1
Posted 2008-December-30, 05:13
1. Does a hand contain scattered or concentrated values. KQ2 54 52 AQJT32 vs Q32 K2 Q2 AJT532
2. Is a suit a good quality or poor quality. e.g. Q97432 vs AQ9765
I could have a good stab at defining this for myself, but would prefer to use existing evaluation methods if they do exist
Does anyone know if there are any algorithms to analyse these types of characteristics and if they exist are they written up anywhere.
#2
Posted 2008-December-30, 05:17
http://www.gg.caltec...u/~jeff/knr.cgi
i believe it was originally written up in the Bridge World.
a little more info on the method is here:
http://www.gg.caltec...u/~jeff/knr.txt
#3
Posted 2008-December-30, 09:19
Thinking process is different than any human. Software using a simulation. Unknowns constructed consistent. Each analyze double dummy.
Here's an example of 2008 World Computer Bridge Championship :
WBridge5 won at hand. ♥ played to Ace. Then both hands low ♥. Duck !
Now ♦ ten. ♦ Ace, ♥.
5 cards ending :
♠A squeezed W. ♦ discard bad, obligatory ♣ thrown.
Now time to squeeze East. ♦KQ ! Must keep ♠ knave, already pitched ♣. ♣AT good.
+1430
You can try http://www.automaton.../en/OddsTbl.htm
#4
Posted 2008-December-30, 09:26
H_KARLUK, on Dec 30 2008, 10:19 AM, said:
Thinking process is different than any human. Software using a simulation. Unknowns constructed consistent. Each analyze double dummy.
Irrelevant to the question asked.
#5
Posted 2008-December-30, 10:20
To evaluate "scattered values" versus "concentrated", once could take the standard deviation of the combined 4 suit Quality. Where your breakpoint of what you consider "scattered" I don't know.
#6
Posted 2008-December-30, 12:44
I made a logistic regression analysis of some 100.000 DD results in which there was no major suit fit. The optimal coefficients of the honours turned out to be
4.2
3.0
1.8
1.0
The model was
logit(p("3 NT makes")) = a #aces + b#kings + c#queens + d#jacks
Something similar could be made involving honor position and shape.
#8
Posted 2008-December-30, 13:01
helene_t, on Dec 30 2008, 01:44 PM, said:
I made a logistic regression analysis of some 100.000 DD results in which there was no major suit fit. The optimal coefficients of the honours turned out to be
4.2
3.0
1.8
1.0
The model was
logit(p("3 NT makes")) = a #aces + b#kings + c#queens + d#jacks
Something similar could be made involving honor position and shape.
Helene,
I wonder why you precluded a major suit fit, but not a minor suit fit. Presumably your are counting tricks and it shouldn't matter, for evaluation purposes, whether those tricks are won by minor suit cards or major suit cards.
I'd love to see how this breaks down by honor combination.
Tim
#9
Posted 2008-December-30, 13:06
helene_t, on Dec 30 2008, 10:44 AM, said:
I made a logistic regression analysis of some 100.000 DD results in which there was no major suit fit. The optimal coefficients of the honours turned out to be
4.2
3.0
1.8
1.0
The model was
logit(p("3 NT makes")) = a #aces + b#kings + c#queens + d#jacks
Something similar could be made involving honor position and shape.
This is an interesting idea. I wonder if Q's are found to be overvalued due to DD analysis: opposite ATx, KJx is just as good as KQx (well unless there is an entry issue).
#10
Posted 2008-December-30, 13:11
MarkDean, on Dec 30 2008, 02:06 PM, said:
helene_t, on Dec 30 2008, 10:44 AM, said:
I made a logistic regression analysis of some 100.000 DD results in which there was no major suit fit. The optimal coefficients of the honours turned out to be
4.2
3.0
1.8
1.0
The model was
logit(p("3 NT makes")) = a #aces + b#kings + c#queens + d#jacks
Something similar could be made involving honor position and shape.
This is an interesting idea. I wonder if Q's are found to be overvalued due to DD analysis: opposite ATx, KJx is just as good as KQx (well unless there is an entry issue).
Yes, it would be fascinating to see the analysis done on a large set of deals from BBO play, both on a DD and an actual result basis. Then compare the results.
#11
Posted 2008-December-30, 14:27
He posted most of this in rgb too.
#12
Posted 2008-December-30, 15:40
helene_t, on Dec 30 2008, 01:44 PM, said:
I made a logistic regression analysis of some 100.000 DD results in which there was no major suit fit. The optimal coefficients of the honours turned out to be
4.2
3.0
1.8
1.0
The model was
logit(p("3 NT makes")) = a #aces + b#kings + c#queens + d#jacks
Something similar could be made involving honor position and shape.
It was a good analysis, but just proved one thing:
The 4321 count is fairly good, because you also mentioned
that the likelhood of correct prediction of making 3NT
only increase by a small degree, compare with the 4321
count.
Which is not surprising: The 4321 count was developed for
balanced hand, and there was statistical / propability analysis
involved in the developement of the 4321 count.
With kind regards
Marlowe
Uwe Gebhardt (P_Marlowe)

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