I'm about to do some research with Nash tables, now I want to create an equity heatmap for the starting hands.

Is there any canonical way to calculate their relative rank? Perhaps a conventional source?


1 Answer 1


No. There is no "generic" way of calculating the equity of a given confrontation except for calculating it directly. For example, bigger pairs have a 4:1-ish advantage over smaller pairs, but the odds are not exactly the same in AA-KK than in AA-77. As a rule of thumb, with round numbers:

Bigger pair vs two lower cards (paired or not): 80%

A pocket pair vs two unpaired overcards: 50%

A pocket pair vs two cards (one higher, one lower or equal): 65%

A pair dominating two unpaired cards (like 99 vs 94): 90%

Two unpaired high cards vs two unpaired low cards: 60%

Dominating unpaired hand (like AK vs AJ): 70%

  • You can calculate the range of the hand vs. any two, taking the blockers of that hand into account.
    – Jonast92
    Nov 11, 2019 at 15:50
  • Sure. But your equity against a random hand is not necessarely a good criterion for "hand ranking"
    – David
    Nov 11, 2019 at 16:12
  • Well, then what is? The only reason AA is on the top is because it has the most equity. There's nothing else to it.
    – Jonast92
    Nov 11, 2019 at 16:21
  • Why equity against one random hand and not against two, or three? Or equity against the Nash equilibrium calling range in a given spot? AA is still best in all of those spots
    – David
    Nov 11, 2019 at 17:35
  • Because OP asked if you could calculate the best starting hands. That means you have to compare each hand to all other possible hands.
    – Jonast92
    Nov 12, 2019 at 10:07

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.