Green squares are in the range at this stack. The number in each square is the deepest stack where that hand is still a shove (or a call); 20+ means it stays in at 20 BB and beyond. Heads-up, no ante, solved by us with fictitious play on 169×169 preflop equities, so edges of the range can be a half blind off published charts.
A push/fold chart tells you which hands to shove all-in with when you’re short, and which to call with when someone shoves into you. Heads-up at 10 big blinds, the small blind should shove about 58% of hands, including K2o, Q8o and every suited king. The big blind should call with about 37%: any ace, any pair, K6o and better. Those numbers surprise people the first time, because they’re far wider than most players’ instincts. The free chart above lets you slide the stack from 1 to 20 big blinds and watch the ranges change.
Reading the push/fold chart
Each square is a starting hand: pairs on the diagonal, suited hands above it, offsuit below. Green means the hand is in the range at the stack you’ve chosen. The small number in each square is the deepest stack at which that hand is still a shove (or a call). K2o shows 10.5, so shove it from the small blind at 10.5 big blinds or less. A2o shows 20+, so it’s a shove at every stack on the chart.
Switch between “Small blind: shove” and “Big blind: call” at the top. Type a hand like A5s into the box to get a one-line answer for both positions.
Where the numbers come from
We solved it ourselves: an equity table for all 169 starting hands against each other, then fictitious play, where each side repeatedly adjusts to the other’s strategy until neither can gain by changing. The result is the Nash equilibrium for heads-up push/fold with no ante. The edges of the ranges can sit half a big blind off other published charts because of rounding in the equity table, which makes no practical difference.
Nash ranges are unexploitable, not maximally profitable. Against an opponent who calls too tight, shove even wider. Against one who calls with anything, tighten up your weakest shoves. With antes, both ranges get wider still.
For multi-player final tables where prize jumps matter, use the ICM calculator. For full-stack opening ranges, the poker starting hands chart is the better reference.
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