
ICM, short for the Independent Chip Model, is a way of turning tournament chip stacks into a share of the prize money. It estimates each player's chance of finishing in every paid place based only on stack sizes, then multiplies those chances by the payouts. The key lesson it produces is simple: in a tournament that pays several places, the chips you might win are worth less than the chips you might lose.
Why tournament chips are not money
In a cash game, a chip is worth its face value, and doubling your stack doubles your money. In a tournament you cannot cash out, and the winner does not collect the whole prize pool. Second and third place are paid too, so a player who holds every chip still receives only the first prize. As a stack grows, each extra chip adds less to its owner's expected prize; as a stack shrinks, each chip lost costs more. Our comparison of cash games and tournaments covers the wider differences between the two formats.
How the model works
- Chance of first place. ICM assumes each player's chance of winning equals their share of all chips in play.
- Chance of second place. For each possible winner, the model removes that player and repeats the calculation with the remaining stacks, then weights the result by how likely that winner was.
- Further places. The same step repeats for third place and below.
- Prize equity. Each player's chance of every place is multiplied by that place's payout and added up.
The calculations multiply quickly with more players, which is why people use ICM calculators for real spots. The principle, though, fits on a single page.
A worked example
Three players remain. The prize pool is 100 units, paid 50 to first, 30 to second and 20 to third. Stacks are 5,000, 3,000 and 2,000 chips, out of 10,000 in total.
| Player | Stack | Share of chips | Value if chips were cash | ICM value |
|---|---|---|---|---|
| A | 5,000 | 50% | 50.0 | 38.4 |
| B | 3,000 | 30% | 30.0 | 32.8 |
| C | 2,000 | 20% | 20.0 | 28.9 |
The leader holds half the chips but only about 38% of the remaining prize money, while the shortest stack holds a fifth of the chips and nearly 29% of the money. With three players left, everyone is already certain of at least 20 units, so a short stack's chips mostly buy a shot at the bigger prizes above that floor. Player A's extra chips, by contrast, can never earn more than the first prize of 50.
What ICM changes at the table
The risk premium
Because losing chips hurts more than winning them helps, calling an all-in usually needs a stronger hand than raw chip maths suggests. Players call this gap the risk premium. It is largest for medium stacks that could slip down the payouts if they bust.
Bubble pressure
Just before the money places, the difference between busting and surviving is large. Big stacks can raise often because medium stacks cannot afford to call lightly. Folding hands that look playable is common here, and the discipline described in our piece on why folding is hard applies with extra force.
Re-raises and all-ins
Late in an event, many decisions become all-in or fold. A 3-bet that would be routine in a deep cash game can be a very different decision when it risks a pay jump. Opening ranges also shift with stack depth, as our starting hand chart notes.
Deals at the final table
When the last few players agree to divide the remaining prize money, an "ICM chop" uses the model to share it according to stack sizes rather than equally.
Where ICM falls short
- It ignores skill. A strong player with a short stack has better prospects than the model suggests.
- It ignores seat and blinds. Being about to pay the big blind with a tiny stack matters, and ICM does not see it.
- It is a snapshot. It values stacks as they are now, not how play might unfold over the next orbit.
- It matters little early on, when the paid places are far away, and not at all in winner-take-all events.
Satellites sit at the other extreme: when every qualifying place wins the same seat, chips beyond what is needed to qualify are worth almost nothing, and ICM pressure becomes intense.
Common mistakes
- Ignoring ICM entirely and calling all-ins near the bubble as if chips were cash.
- Overusing it in the first hours of a large event, folding away good spots out of fear.
- Forgetting that opponents feel the same pressure, so a well-timed raise can win more pots.
Tournament entries are a cost of entertainment, not an investment, and most of them finish outside the prizes. Keep entries within the amount you set aside in our guide to building a gambling budget, play only if you are an adult, and check that the event is lawful where you live.
Questions? Write to us.
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