ICM (Independent Chip Model)
ICM (Independent Chip Model) converts tournament chip stacks into their real prize-money value, showing why chips you lose matter more than chips you win.
ICM, the Independent Chip Model, is a method for estimating how much a tournament chip stack is worth in prize money. In a cash game, every chip is worth its face value. In a tournament it is not, because prizes are paid by finishing position, not by chips. ICM translates the current stacks and the remaining payouts into an expected cash value for each player.
How the model works
ICM makes one simple assumption: each player's chance of finishing first equals their share of all chips in play. It then works out the chance of each player finishing second, third and so on by imagining the winner removed and repeating the same calculation with the remaining stacks. Multiply each finishing chance by its prize and add them up, and you get that player's ICM value, often called their equity in the prize pool.
Worked example
Three players remain. The prize pool is 1,000, paid 500 for first, 300 for second and 200 for third. There are 10,000 chips in play:
| Player | Chips | Chip share | ICM value |
|---|---|---|---|
| A | 5,000 | 50% | about 383.93 |
| B | 3,000 | 30% | 327.50 |
| C | 2,000 | 20% | about 288.57 |
| Total | 10,000 | 100% | 1,000.00 |
Here is Player B's calculation. B wins 30% of the time. B finishes second if A wins first and B then beats C (50% × 3,000/5,000 = 30%), or if C wins first and B then beats A (20% × 3,000/8,000 = 7.5%), for 37.5% in total. That leaves 32.5% for third. So B's value is 0.30 × 500 + 0.375 × 300 + 0.325 × 200 = 150 + 112.50 + 65 = 327.50.
Notice that A holds 50% of the chips but only about 38% of the prize money, while C holds 20% of the chips but almost 29% of the money. Even a player who loses all their chips first still collects 200, so the chip leader's extra chips are worth less than face value and the short stack's chips are worth more.
Why ICM changes your decisions
Because the chips you lose cost you more prize value than the same number of chips you win, ICM pushes players toward caution in some spots:
- Calling an all-in needs a stronger hand than pot odds alone suggest, especially near pay jumps.
- Medium stacks are under the most pressure, because busting costs them a lot while a short stack might bust first.
- Big stacks can raise more aggressively, because opponents must avoid confrontations.
This effect is strongest on the bubble and at the final table, and it has a special extreme form in satellites.
Limits of the model
ICM ignores skill, seat position, the size of the blinds and future hands. It is an approximation, but a very useful one for judging close all-in decisions and fair deal proposals.
Frequently asked questions
What does ICM stand for in poker?
ICM stands for Independent Chip Model, a way to convert tournament chip stacks into their expected share of the prize pool.
Does ICM matter in cash games?
No. In cash games each chip is worth its face value, so ICM only applies to tournaments and other events with fixed payouts.
Why is the chip leader's ICM value lower than their chip share?
Because prizes are capped at first place and every remaining player is guaranteed at least the lowest remaining payout, extra chips gain less and less prize value.
Related poker terms
- Bubble — The bubble is the stage of a tournament just before the paid places, when one more elimination means everyone left wins money.
- Final Table — The final table is the last table of a poker tournament, formed when the remaining players can all fit at one table. Pay jumps grow with each elimination.
- Satellite — A satellite is a poker tournament whose prizes are entries (seats) into a bigger, more expensive tournament instead of cash.
- Equity — Equity is your share of the pot based on how often your hand would win if all remaining cards were dealt, expressed as a percentage.
- All-In — Going all-in means betting every chip you have in front of you. You can't be forced out of the hand, but you can only win what your chips cover.