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Heads-Up All-in Game Theory Optimal Question

    • hairyguy
      hairyguy
      Basic
      Joined: 30.05.2017 Posts: 7
      I found an article about playing short stacked heads-up with all-ins.
      http://www.super-turbo-poker-tips.com/game-theory.html
      It refers to Mathematics of Poker book

      Here is a table from it to push all-in
      10BB) 41% - 22,A2,K5,K2s,Q9,Q7s,JT,J8s,T9s
      09BB) 44% - 22,A2,K4,K2s,Q8,Q6s,J9,J8s,T8s
      08BB) 49% - 22,A2,K2,Q7,Q4s,J9,J7s,T9,T8s,98s
      07BB) 53% - 22,A2,K2,Q6,Q2s,J8,J6s,T9,T7s,97s
      06BB) 58% - 22,A2,K2,Q4,Q2s,J7,J4s,T8,T6s,98,97s,87s
      05BB) 66% - 22,A2,K2,Q2,J5,J2s,T7,T4s,97,95s,86s,76s
      04BB) 78% - 22,A2,K2,Q2,J2,T5,T2s,96,94s,86,84s,76,74s,64s,53s
      03BB) 95% - 22,A2,K2,Q2,J2,T2,92,84,82s,74,72s,64,62s,53,52s,43,42s,32s
      02.6BB) 100% - call everything for 2.6BBs or less

      Take a look at the string "10BB) 41% - 22,A2,K5,K2s,Q9,Q7s,JT,J8s,T9s"
      It says that it is 41%

      And Equilab says:
      [img]https://postimg.cc/image/nppotwtaj/[/img]
      37.25% of hands

      Who is wrong?

      Also it is a bit strange to put and risk 9 BB more with T9s to win 1.5 BB.
      It has only 38% equity against top 25% hands.
      What do you think about this?
  • 4 replies
    • VorpalF2F
      VorpalF2F
      Super Moderator
      Super Moderator
      Joined: 02.09.2010 Posts: 11,085
      Originally posted by hairyguy
      10BB) 41% - 22,A2,K5,K2s,Q9,Q7s,JT,J8s,T9s

      Take a look at the string "10BB) 41% - 22,A2,K5,K2s,Q9,Q7s,JT,J8s,T9s"
      It says that it is 41%

      And Equilab says:
      [img]https://postimg.cc/image/nppotwtaj/[/img]
      37.25% of hands

      Who is wrong?

      I'm guessing that Equilab is correct -- they spell out the exact # of hands that this covers.
      For each pair, there are 6 com-- 78 hands
      For each offsuit hand there are 12 combos (12 :Ax: + 8 :Kx: + 3 :Qx: + JTo = 24 hands) = 288 combos
      For each suited hand there are 4 combos (12 :Ax: + 11 :Kx: + 5 :Qx: + 3 :Jx: + T9s = 32 hands) = 128 combos
      So 78 + 288 + 128 = 494
      There are 1326 combos total = 37.25

      For push/fold ranges this used to be "standard":
      http://www.holdemresources.net/hune
      Now it looks really, really wide to me.

      They also have the free Nash ICM calculator.
      If you like, you can purchase the paid version of the Holdem Resources Calculator through PokerStrategy.com

      All the best,
      VS
    • CptJokerFish
      CptJokerFish
      Bronze
      Joined: 06.06.2017 Posts: 770
      Just take a look at some HU GTO ranges. You can checkout this site for example: http://www.gtoline.com
    • hairyguy
      hairyguy
      Basic
      Joined: 30.05.2017 Posts: 7
      VorpalF2F thank you for an interesting link
      CptJokerFish you too
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