Push Fold Chart: Heads-Up Nash Ranges by Stack Depth
A push fold chart says, for each stack depth, which hands the small blind moves all‑in with and which hands the big blind calls with. The one below is computed, not copied: the heads-up Nash equilibrium for blinds 0.5/1 without antes, from 2 to 20 big blinds, using the exact preflop equity of every hand against every hand. At 10 big blinds, the small blind pushes 58.3% of hands and the big blind calls 37.4%.
The chart
Move the slider for the stack depth, then switch between the two players:
How wide each range is
| Stacks | Small blind pushes | Big blind calls |
|---|---|---|
| 2bb | 89.4% | 100% |
| 5bb | 71.5% | 62% |
| 8bb | 61.9% | 45% |
| 10bb | 58.3% | 37.4% |
| 15bb | 45.6% | 28.5% |
| 20bb | 40.2% | 21.7% |
The deepest stack each hand still pushes
| Small blind's hand | Pushes up to |
|---|---|
| J5o | 6bb |
| Q2o | 7bb |
| K2o | 11bb |
| 98o | 20bb (the chart’s maximum) |
| A2o | 20bb (the chart’s maximum) |
The deepest stack each hand still calls
| Big blind's hand | Calls up to |
|---|---|
| K2s | 10bb |
| Q9o | 11bb |
| JTo | 12bb |
| A2o | 15bb |
| 22 | 15bb |
| K9o | 17bb |
What the chart assumes
| Assumption | Value |
|---|---|
| Players | two: small blind against big blind |
| Blinds and antes | 0.5 and 1, no antes |
| Strategies | both players play the equilibrium |
| Payoff | chips (equal to ICM with only two players left) |
| Distance from equilibrium | at most 0.0007bb at every depth |
Keep going
- The price of calling an all‑in: calling all‑ins in tournaments.
- Playing with few chips in a cash game: short stack strategy.
- The preflop game of two players: heads-up preflop.
- Why chips are not money near the end: ICM explained.
- The bubble, where every call costs more: the tournament bubble.
- One spot every day: the daily poker puzzle.
- When every seat pays the same: satellite poker strategy.
For a practice plan covering every stage of a tournament, see our MTT poker trainer.
To know where you stand, first count your stack size in big blinds.
Sources
- The equilibrium is computed by fictitious play (Robinson, 1951) on the 169 hand classes with exact card removal, from a 169×169 equity matrix enumerated over all 1,712,304 boards with the app's equity module; files data/pushfold/preflop-matrix.json and data/pushfold/hu-chart.json, checked on October 11, 2026.