1

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?

2

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%

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  • You can calculate the range of the hand vs. any two, taking the blockers of that hand into account. – Jonast92 Nov 11 '19 at 15:50
  • Sure. But your equity against a random hand is not necessarely a good criterion for "hand ranking" – David Nov 11 '19 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 '19 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 '19 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 '19 at 10:07

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