Heads Up Chart

Heads-Up Cash Game Charts (GTO / PioSolver)

This package includes 4 different PioSolver pre-flop charts for Heads-Up Cash Games:

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• Small Blind Opening range

• Big Blind Defend range

• Small Blind vs. Big Blind 3bet range

• Big Blind vs. Small Blind 4bet range

Heads-Up Turbo Zoom Tournament Strategy

Heads-up Zoom Strategy for +50 Big Blinds

• Small Blind/Button – Raise First In Chart (+50 Big Blinds)
• Big Blind – Defense Chart (+ 50 Big Blinds)

Heads-Up Hyper-Turbo Strategy

25-17BB Charts (Raise First In, Big Blind Defense & Big Blind vs. Button Limp)

17-13BB Charts (Raise First In, Big Blind Defense & Big Blind vs. Button Limp)

13-9BB Charts (Raise First In, Big Blind Defense & Big Blind vs. Button Limp)

Tools for Heads-Up Tournaments

Hand Equity Chart

Heads-Up Push/Fold Nash Equilibrium

Poker Heads Up Chart

Sklansky-Chubukov Matrix

GTO Heads-Up Hyper-Turbo Charts (pioSolver)

Heads Up Poker Odds Chart

The tables show the highest effective stack size in big blinds where a hand can be pushed or called. Values bigger than 20 are only displayed as 20+, which means the hand can be played for any stack size of 20bb or less. (Playing push-or-fold is typically only recommended up to around 10bb, depending on the situation. Using push-or-fold for >20bb is almost certainly a bad idea.)

Some hands have gaps in their pushing strategies, they are marked with * and the details are displayed below the charts. For example 63s is included in the pushing strategy for stack sizes between 7.1 and 5.1bb, and stacks below 2.3bb.

SB (9.0bb): T3s
BB (6.0bb): Q2o

The effective stack size is the smaller of the two, before posting any blinds. So the relevant stack size for both players in this hand is 6.0 big blinds.

To find the strategy for SB's T3s, check the green area (suited hands) of the 'Pusher' chart. The value for T3s is 7.7bb, and since that is larger than the current effective stacks the hand is a push in the Nash Equilibrium strategy.

To determine if the BB should call with his Q2o, check the orange area (offsuit hands) of the 'Caller' chart and locate Q2o. The value there is 5.6bb. The effective stacks in the current hand are larger than the value for Q2o, so this hand is a fold in the Nash Equilibrium strategy.

This example refers to the no ante solution. If the table values don't match the example then make sure the 'No Ante' tab is selected above.

The solution available on this site was independently calculated and published in 2007 as part of a coding experiment, inspired by the discussion of the topic in Mathematics of Poker.

Similar charts have been published by various sources, including SNGPT and Mathematics of Poker, and there are some minor differences between them. The exact Nash solution is considerably more complex and the chart only shows a simplified version. Most hands are actually played with mixed strategies for at least a few stack sizes, and many hands have multiple smaller gaps in their strategy, similar to the 63s, 53s, 43s hands. These details are omitted in the chart to allow a compact representation of the strategy.

The differences in published solutions are most likely due to choices made when simplifying the exact solution into easy-to-use charts. Due to the considerable number of rather arbitrary choices when simplifying into chart form, it is actually quite unlikely that two independently created charts would perfectly match.

Heads Up Starting Hand Chart

The file linked below contains the unsimplified push-or-fold equilibrium strategies for all stacks of 1bb ≤ stacks ≤ 200bb in steps of 0.05bb. This data can be used to derive the charts. For practical purposes the chart form should be completely sufficient though.

Heads Up Display Chartbeat

The data linked here was re-calculated with a later version than the original chart data, so there may be some very slight differences.