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What Is ICM in Poker?

Published Updated How these ranges are solved

ICM stands for Independent Chip Model. In poker tournaments, it converts every remaining stack and the payout structure into expected prize-pool equity. Unlike a cash-game chip, a tournament chip does not have a fixed cash value.

Cash game

$1 chip = $1

Fixed. It doesn't matter who else is at the table, or what anyone else has in front of them.

Tournament

1 chip = it depends

On the payout structure, on how many players are left, and on how many chips you already hold.

In fact, the value of a tournament chip is variable. The value changes as a tournament progresses, but also each individual chip is worth less the more that you have.

How does ICM work? A worked example

ICM works out how likely each player is to finish in each place, using their share of the chips, and then multiplies those chances by the payouts. Say three players are left with 10,000 chips between them, and the prize pool pays 50%, 30% and 20%:

ICM equity for three stacks with a 50/30/20 payout
PlayerShare of chipsShare of prize pool (ICM)
Chip leader50%38.4%
Middle stack30%32.8%
Short stack20%28.9%

The chip leader has half the chips but only about 38% of the money. The short stack has a fifth of the chips but nearly 29% of the money, because 20% of the prize pool is locked in just for finishing third. That's why chips you win are worth less than chips you lose. You can try your own stacks in the ICM calculator.

Why does ICM matter so much to short stacks?

This is a big reason why understanding short stack strategy is so important. When you are short stacked is when your individual chips are worth the most. Don't be like many players that give up and gamble that value away - understand how to make optimal decisions to make the most of your stack at every stage of the game.

How does ICM change your strategy?

ICM also changes the nature of your strategy significantly. Busting a tournament becomes a lot more costly, so we are generally tighter compared to chip-EV strategies. However, there are also still opportunities to be more aggressive. For example, it's not just you that have this pressure. If you are a large covering stack, then you have the opportunity to apply huge pressure to smaller stacks, forcing them to fold more than they normally would.

Combining this with a strong understanding of fold equity opens up opportunities to get the maximum benefit based on the incentives of each hand.

Here's what that looks like in our solutions. On a 6-max bubble with five paid, the Button has 10bb and it folds to them. In ChipEV they shove about 39% of hands. When both blinds are short (8bb and 7bb), the Button shoves about 52% - the blinds can't afford to call. When both blinds are deep (21bb and 45bb), the Button shoves only about 32%, because now the Button is the one who can't afford to get called. Same seat, same stack - the blinds decide it. See the ICM bubble charts for the full ranges.

When you are the one at risk

Busting is disproportionately costly, so marginal spots that print chips are folds. This is the direction most players already know about.

When you are the one they fear

A covering stack cannot be eliminated by the hand, so the same pressure that folds everyone else is licence for you to attack.

When does ICM matter most?

ICM pressure is sharpest right around the bubble and every pay jump after it, and it matters more the shorter your own stack is relative to what you'd win by surviving. Deep in the money with stacks still relatively even, chip-EV and ICM mostly agree; the gap widens exactly when the payout jumps get steep.

One ICM bubble spot is free to try in the app's Solutions browser. Full ICM training - every stack template, position, and depth - is a Pro feature.

Common questions

What's the difference between chip-EV and ICM?
A chip-EV solve treats every chip as worth the same, whether it's your first or your last. ICM converts every stack at the table into real prize-pool equity given the payout structure and everyone's chip count, then re-solves the shove/fold decision against that instead of raw chips. Chip-EV is right for a cash game and for most of a tournament; it breaks down once payouts turn non-linear.
Does correct play get tighter or looser near the bubble?
Almost always tighter. Busting is disproportionately costly compared with what you gain by winning a marginal pot, so a hand that's a clear chip-EV shove can become a clear ICM fold - especially for a covered stack shoving into a short stack that would rather fold and ladder than bust.
When does ICM stop mattering?
It's sharpest right around the bubble and every pay jump after it, and it matters more the shorter your stack is relative to what you'd win by surviving. Deep in the money with stacks still relatively even, chip-EV and ICM mostly agree. The gap widens when the payout jumps get steep.

Sources and assumptions

  • Harville (1973) - "Assigning Probabilities to the Outcomes of Multi-Entry Competitions", Journal of the American Statistical Association 68(342). The finishing-order model ICM is built on (Malmuth-Harville).
  • Independent Chip Model (Wikipedia) - A general overview of how ICM turns stacks and payouts into prize equity.

The solved numbers on this page

  • The worked example uses the Malmuth-Harville model, the same one the ICM calculator runs.
  • Bubble figures: 6-max ICM solves, 6 players left and 5 paid (40/24/16/11/9% of the prize pool), 0.125bb ante, solver 0.4.0.
  • The chip-EV comparison is the same 10bb Button spot with no payouts.
  • Percentages are shares of all 1,326 starting combos, rounded.

How these ranges are solved

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