$200 Stipend to Expand A8 Result

[karlson]

Thank you very much for pointing this out. I am surprised that no one (myself included) tried this simple calculation by hand. I checked some other ones, but I used intermediate results that were incorrect.

So I did find an error in my code. I will have new numbers posted tomorrow sometime. The correct value for KK is 954.

Sorry about this. I hope David didn't yet put them in his article.

If anyone has conclusive proof that these numbers cost them a place in a tourney, I'll make sure to reimburse him or her.

Victor.

Edit: By the way, the numbers for most hands should not change much, since my mistake was effectively making the BB call with one extra hand. For KK, this was quite significant.

[bigpooch]

Victor:

I just thought intuitively there was something wrong with
that specific number for KK as it is only about 220-1
against the BB holding AA. After your new table is
constructed, it seems more useful to consider a modified
game: suppose the SB states that I have "the hand XY or
better" and then the BB must decide. This seems a much
more useful practical question especially in a NL cash
game or tournament. So even if someone were using your
older numbers for the purposes of a tournment or in a
cash game, I would think the play still had +EV.

Cheers,

"bigpooch" a.k.a. "mangler"

[karlson]

As promised, I have revised rankings.

They looked ugly when I posted them, and I don't want to clog up the thread, but you can see them at
http://www.decf.berkeley.edu/~chubukov/rankings.html

Let me know if there are more issues.

[rockoon]

[ QUOTE ]
Victor:

I just thought intuitively there was something wrong with
that specific number for KK as it is only about 220-1
against the BB holding AA. After your new table is
constructed, it seems more useful to consider a modified
game: suppose the SB states that I have "the hand XY or
better" and then the BB must decide. This seems a much
more useful practical question especially in a NL cash
game or tournament. So even if someone were using your
older numbers for the purposes of a tournment or in a
cash game, I would think the play still had +EV.

Cheers,

"bigpooch" a.k.a. "mangler"

[/ QUOTE ]

I did some research along this line. I did not take into account dead money in the pot or blinds posted. Just a consideration along the lines of two players each get dealt a hand. The first player begins with the entire range of hands and asked the question, what hands can't profitably play? I called this list Grade F.

Then I took the remaining list of hands, the ones that could profitably play, and asked the question, what hands can't profitably play against this list? I called this list Grade E.

I kept doing this until I got down to the 3 hands AA, KK, and QQ.

This produces 6 lists of hands which I have labels "Grade A", "Grade B", "Grade C", .. "Grade F"

Grade A: AA, KK, QQ
Grade B: JJ, TT, AK, AQs
Grade C: 99, 88, 77, 66, AQo, AJ, AT, A9
Grade D: 55, 44, A8, A7, A6, A5, A4, A3s, A2s, KQ, KJ, KT, K9s
Grade E: 33, 22, A3o, A2o, K9o, K8, K7, K6, K5, K4, K3, K2, QJ, QT, Q9, Q8, Q7, Q6, Q5, Q4s, Q3s, Q2s, JT, J9, J8, J7s, J6s, T9, T8s, T7s, 98s
Grade F: Remaining hands


The grades are structured such that if you opponent may hold Grade D or better, you can only profitably go even money against him when you hold grade C or better (the next higher grade)

"AK" is taken to be either "AKs" or "AKo" and so forth.

[clovenhoof]