Poker
Push/fold and Nash poker charts explained
A poker push/fold chart prescribes a range for a defined decision model. Its validity depends on stack depth, position, antes, available actions and opponents; a chart without those assumptions is incomplete.
What a poker range chart represents
A standard 13-by-13 starting-hand grid contains pairs on the diagonal, suited rank combinations on one side and offsuit combinations on the other. A pair has six suit combinations, a suited nonpair four, and an offsuit nonpair twelve. Counting boxes rather than combinations gives the wrong range weight.
A label such as 20% of hands means a weighted collection of card combinations, not 20% equity against an opponent. Suitedness, blockers and the opponent’s range affect comparisons. The known-hand odds calculator evaluates explicit cards, rather than arbitrary ranges.
Nash push/fold equilibrium assumptions
A Nash equilibrium is a strategy combination in which no player improves the modeled payoff by changing alone. In a heads-up shove-or-fold model, both shove and call ranges depend on effective stacks, blinds, antes and the allowed actions. A table from that model cannot automatically prescribe a multiway tournament decision.
Tournament money payoffs may use ICM rather than chip expectation. The ICM calculator values supplied stacks and payouts but does not solve decision ranges. Cash-game rake or a different set of allowed bet sizes creates another model.
How to assess a push/fold chart
Record the game, effective stack units, positions, blind/ante structure, chip or prize objective and equilibrium method before applying a chart. Check whether the model assumes equal skill or ignores later play.
This guide explains those requirements. It does not provide validated Nash ranges or a push/fold solver, so it should not be used as a playable chart. A meaningful chart requires a verified equilibrium calculation for the specified game.