Computes exact equity for pots involving 3 to 6 players by Monte-Carlo simulation from hands or ranges plus the board. Equity is the probability of winning at showdown, so it can be computed exactly no matter how many players are involved.
AhKs) or a range (e.g. AA,AKs,QQ+ / JJ+) work too. Blank fields are ignored.Converts tournament chips into prize expectation ($EV) (ICM = Independent Chip Model). You can only win first place once, so chip value is non-linear — and that is what makes the game non-zero-sum and breaks the two-player GTO guarantee. This is exactly why play tightens up under ICM. The prize expectation itself can be computed exactly (Malmuth-Harville).
For short stacks (roughly 15bb and under), the heads-up “open-shove or fold” decision isNash equilibrium, because every hand ends all-in — pure equity, with no postflop left to play,This is two-player zero-sum — the one spot in real play where exact GTO is defined. Shows the SB (button) shove range and the BB calling range.