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Nash Equilibrium G.T.O Pushbot Charts for Blind-Vs-Blind Situations in Poker Tournaments & SNGs

by Jenny Tang - Friday, April 19th, 2024 2:59

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⚠️ Warning: Some poker sites may ban you for referring to assistive poker materials like these poker pushbot charts while playing online.

Mathematical models and poker simulations have enabled poker professionals to develop and implement game-theory based poker strategies which can be applied in specific situations – allowing “unexploitable poker” play.

One key concept which is highly applicable to multi-table poker tournaments and Sit and Go tournaments is that of “Nash Equilibrium“.

For heads-up play (e.g. blind vs blind hands) it’s possible to calculate game-theory optimal (G.T.O) hand-ranges for push (all in) and calls (an all in) situations – which are profitable in the long run, based on your specific stack size, and cards and the perceived ranges of hands likely held by opponent(s) playing a GTO poker style in a given spot.

Poker Pushbot charts are a useful visual reference to answer important questions quickly in heads-up situations.

The kind of poker chart allows us to at a glance answer questions such as:

• Can I go all in with this hand profitably?
• Which hands can I profitably call an all in shove with in my position, vs my opponents stack size – for a specific number of big-blinds?

Equilibrium rankings are meant as a guide to help you to develop an idea of which hands and hand ranges are good enough to warrant calling an all-in or shoving all in with.

It folds to you in the small-blind. You have 12 big-blinds and Queen ten offsuit. What’s your play? Can you profitably and un-exploitably go all in, or do you need to wait for superior cards and position? 

You can Shove (go “all in”) profitably if:

• it folds to you
• your are in the SMALL BLIND
• your effective stack (the smallest of the stack sizes of you vs your opponent, measured in big-blinds) is smaller than the number showing in the table below for your specific hand in this position.

In this situation – according to the pushbot GTO charts, it appears that QTo is a +EV (profitable) all-in shove (as are the holdings Q9, and Q8, but NOT Q7 off-suit )

*Pro Heads-Up Pushbot Tips:

• A quick hack for computing the equivalent ranges approximately from the BUTTON instead of the small-blind is to divide all the stack size numbers in the chart by 2 to compensate for the extra player you need to beat or make fold.
• Similarly one could divide by 4 to identify suitable hands/stack sizes for a profitable cutoff position all-in move.

Nash Equilibrium G.T.O Pushbot Charts are useful for poker training in regard blind-Vs-blind situations in poker tournaments & sit and Go’s

Jenny Tang

iGaming journalist living in New York City - covering poker & gambling regulation in the US. Small-Stakes MTT lover.