ICM and Chop Deals Explained for Home Tournaments

It's late, three players are left, and the tournament has already run two hours over. Someone says, "Should we just chop it?" Now the host has to turn a pile of chips into dollar amounts that everyone accepts, and nobody has a calculator they trust.

This guide explains what a chop is, what ICM (the Independent Chip Model) actually does, and how the common deal methods compare on the same final table. The numbers below are worked out by hand, so you can check them yourself. If you want the broader picture of payout structures first, start with our guide to splitting tournament prizes fairly.

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What Is a Chop (or Deal) in a Poker Tournament?

A chop is an agreement among the remaining players to divide the remaining prize money by a formula instead of playing out every finishing position. Everyone locks in a guaranteed amount and the tournament ends (or continues for a trophy or bragging rights).

Players usually chop for practical reasons:

• The blinds are so high that the outcome is mostly luck
• It's late and people have work in the morning
• Stacks are uneven and the short stacks want a guaranteed payout
• The group simply prefers a friendly ending to a coin-flip finish

A chop only works if every remaining player agrees. One player saying no means you play on.

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Why Chip Counts Alone Don't Give a Fair Split

The obvious method is to split the money in proportion to chips. The problem is that chips and dollars aren't worth the same amount at every stack size.

Doubling your stack does not double your share of the prize pool, because the prizes are fixed by finishing position. A player with a huge stack can't win more than first-place money, while a short stack is still guaranteed at least the next payout. That's why a straight chip-proportional split tends to overpay the chip leader and underpay the short stack.

ICM is a mathematical way to correct for this.

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How ICM Works

ICM estimates each player's expected prize from their stack size. It makes one simplifying assumption: the chance of finishing first equals your share of all chips in play. It then works out the odds of finishing second, third and so on, and weights each prize by those odds.

The method is often credited to Malmuth and Harville, and the Independent Chip Model entry on Wikipedia gives the full formulation if you want the math behind it. In plain steps:

1. Chance of 1st = your chips ÷ total chips
2. Chance of 2nd = for each other player who could win, the chance they finish 1st multiplied by your share of the chips that remain once they're removed. Add these up.
3. Repeat for lower places. Whatever probability is left over is your chance of finishing last of the group.
4. Your ICM value = (chance of 1st × 1st prize) + (chance of 2nd × 2nd prize) + (chance of 3rd × 3rd prize)

It's laborious by hand with more than three players, which is exactly why people reach for a calculator at the table.

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Worked Example: Three Players Left

Say a 10-player, $500 prize pool pays 50/30/20, which is $250, $150 and $100. Three players remain with these stacks:

The probabilities of each finish under ICM, rounded:

Multiplying by the prizes gives each player's ICM value. Here is how that compares with two other common ways of chopping the same $500:

The three columns each add up to $500. The table shows why the method matters:

• Chip-proportional gives the big stack $250, which is the entire first-place prize, even though that player is not certain to win. The short stack gets $100, which is only the third-place prize, with no credit for sometimes finishing higher.
• ICM moves roughly $58 from A to B and C compared with the chip-proportional split.
• Chip chop with a guaranteed minimum gets close to ICM without needing any probability math, which makes it popular at home games (more on this below).

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Common Deal Methods Compared

1. Even Split

Divide the remaining prize money equally, ignoring stacks. In the example above, each player would get $166.67 (usually rounded to $165, $165 and $170, or similar).

Works when: stacks are close, or the group is playing for fun. Doesn't work when: one player holds most of the chips. They'll rightly refuse.

2. Chip-Proportional Chop

Split the remaining money by chip share, with no minimum.

Works when: you want the quickest possible method. Watch out: it overpays big stacks and underpays short ones, as the table showed.

3. Chip Chop with a Guaranteed Minimum

First give every remaining player the lowest prize still on the table. Then split what's left in proportion to chips.

In the example, the lowest remaining prize is $100 (third place). Each player gets $100 first, which uses up $300. The remaining $200 is split 50/30/20 by chips, so A gets $100 more, B gets $60 more and C gets $40 more. That produces the $200, $160 and $140 shown in the table.

Works when: you want a deal you can explain in one sentence and calculate on a phone. It's very close to ICM at small final tables.

4. ICM Chop

Use the full ICM calculation above.

Works when: the group is comfortable with the math and wants the most defensible number. Watch out: it values every chip equally regardless of who is sitting behind it, so it won't reflect skill differences.

Heads-Up: ICM and the Guaranteed-Minimum Chop Agree

With only two players left, ICM and the guaranteed-minimum method give the same answer. If 1st is $250, 2nd is $150, and the stacks are 70,000 and 30,000:

• Each player is guaranteed the 2nd-place prize: $150
• The remaining $100 is split 70/30 by chips
• The chip leader gets $220 and the short stack gets $180

Splitting $400 purely by chips would give $280 and $120, which ignores that the short stack can't finish below second.

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Limits of ICM

ICM is a useful starting point, not a law of nature. It doesn't account for:

• Skill and position: it assumes all players are equally likely to convert chips into wins, which is rarely true. A strong player might fairly decline an ICM deal.
• Blind levels: a stack of 10 big blinds is treated the same as one with 100 big blinds, as long as the chip count is the same.
• Side agreements and bounties: knockout bounties or add-ons change what each player is playing for, so settle those separately.

For a home game, the point is not mathematical perfection. It's that everyone understands the method and agrees to it before any chips are counted.

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How to Run a Chop at Your Home Game

1. Decide the policy before the tournament starts. Say whether deals are allowed, at what point (for example, three players left) and which method you'll use. This removes the argument in the moment.
2. Require unanimous agreement. If anyone objects, play on.
3. Pause the clock and count chips. Have each player confirm the counts out loud before you calculate anything.
4. Work out the amounts. Use the same method for every player. Show the numbers openly.
5. Round sensibly. Rounding to the nearest $5 is fine as long as the total still equals the remaining prize pool.
6. Settle the remaining prize pool, then decide if you play on. Some groups play on for a trophy, or for a small amount held back for the winner.
7. Write down the final amounts. A record of who was owed what prevents the "I thought we said..." conversation the next morning.

If your tournament includes rebuys or add-ons, confirm the total prize pool before you start the chop calculation. Otherwise the deal will be based on the wrong total. Our tournament payout guide walks through how a payout structure is built from the prize pool.

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Keep the Rest of the Tournament Organized

A chop is the last step of a long evening. Everything earlier, including tracking who has bought in, who has been eliminated and what the prize pool is, makes the deal easier because the total is not in dispute. Poker Payout's tournament organizer lets you track players, manage blinds, and calculate payouts automatically. For running the whole evening, see how to organize a home poker tournament.

Start a free game and set up your next tournament before the blinds go up.

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Key Takeaways

• A chop divides the remaining prize money by a formula once all remaining players agree.
• Chip-proportional splits overpay the chip leader because prizes are fixed by finishing position, not by chip count.
• ICM weights each prize by each player's estimated finishing odds. It is the standard reference, but it ignores skill and blind level.
• A chip chop with a guaranteed minimum is a simple approximation that's easy to calculate and explain.
• Agree the rules before the tournament starts, count chips together and write the final amounts down.