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Heads-up Nash push/fold solver

Solve the full 169-class heads-up preflop game or your weighted ranges, with antes and separate convergence and sampling certificates. Free, with no account or external AI service.

Game: heads-up, equal effective starting stacks, one entered ante per player, no rake. The small blind shoves or folds; the big blind calls or folds. Already committed forced bets cannot fold. Choose the entire uniform deck represented by all 169 suit-symmetric starting-hand classes, or your exact weighted physical card ranges. This is an original calculation, not an imported chart or a full-ring strategy.

Full mode includes all 1,326 starting combinations and all 1,624,350 compatible ordered two-player deals. The 169-class aggregation uses exact card-removal priors and uniform compatible physical hands within each class pair. All 14,196 off-diagonal class pairs sample real boards; reversed equity uses exact player-swap symmetry and equal-class equity is exactly one half. This may take tens of seconds or longer. Cancel remains available. A low class-sample count has a deliberately wide uncertainty bound; extra regret iterations do not improve sampled equity.

Typed ranges support pairs, suited/offsuit hands, intervals, exact cards and weights such as AA:50% or AKs@0.25. Range mode is limited to 100 physical combinations per range, 200,000 pair-board samples and 25 million pair-iterations. Full mode permits 500 million class-pair iterations. Larger requests are rejected. Both modes report the sampled game's best-response gap separately from a simultaneous 95% Hoeffding bound on every sampled payoff. Antes and blinds are capped by the actual starting stack; all-in call payoff uses the whole two-player pot.

Enter the stated game or contract, then calculate.

Rules and methods

Links describe the underlying concepts and operator rules. Our explicit models, bounds and policies are listed in the calculator; no equivalence to another vendor's software is claimed.