Chopping the Final Table: ICM Deals, Chip Chops and How to Settle It Without a Fight
Three players left, blinds eating 20% of every stack, and the result is now mostly a coin flip. Here are the three ways to chop the money, with the ICM arithmetic worked out in full.
It’s 11:40 PM. Three players left. The blinds are 5,000/10,000 and the big stack has 50,000, which means a single orbit costs the short stack almost half of what he’s got. Someone’s partner has texted twice. Someone else has a 7 AM meeting.
Here’s what nobody at the table wants to say out loud: the tournament is over. Not officially, but mathematically. When the blinds are 20% of the average stack, nobody is outplaying anybody. The next three hands will be all-in, call, flip. The $600 still in the middle is going to be handed out by a coin.
So chop it. But chop it properly, because the difference between a good deal and a bad one is real money, and a bad deal is the one thing that can sour a game that was otherwise perfect.
Why Deals Happen (And Why That’s Fine)
A deal is just the players agreeing to split the remaining prize money instead of playing it out. It happens at every level of the game, from the kitchen table to televised final tables.
Three things push a table toward a deal at once:
- The clock. It’s late, people have lives, and the structure you picked for a 3-hour home game was never meant to stretch to 12:30 AM.
- The blinds. Once stacks drop under 10 big blinds, skill stops mattering. Every decision is a shove or a fold, and the outcome of each shove is close to 50/50.
- The money. When the gap between 1st and 3rd is $270 and the result is a coin flip, the variance is bigger than anyone’s edge. Locking up a fair share is the smart move for everyone, not just the short stack.
A deal doesn’t make you soft. It makes you the player who understands what a chip is actually worth. If that idea is new to you, read What Your Chips Are Actually Worth first, because everything below builds on it.
The Example We’ll Use Throughout
Keep these numbers in your head. Every method below is applied to the same situation so you can compare the results directly.
| Alex | Ben | Cara | |
|---|---|---|---|
| Stack | 50,000 | 30,000 | 20,000 |
| Share of chips | 50% | 30% | 20% |
Remaining prize money: $600, paid as $350 / $170 / $80 for 1st, 2nd and 3rd.
Third place pays $80, so the worst anyone can do by playing on is $80. The best is $350.
Method 1: The Even Chop
Split the money three ways. $200 each. Done in ten seconds.
The even chop is fast and it’s what tired players reach for first. It’s also usually wrong, because it ignores the stacks entirely. Alex has two and a half times Cara’s chips and gets exactly the same payout. Cara, meanwhile, has turned a $80 floor into a $200 guarantee without playing a hand.
When it’s fine: stacks are within 15% of each other and nobody cares enough to do the math. Three players with 35,000, 33,000 and 32,000? Chop it even and go home.
When it’s not: any time there’s a clear chip leader. Alex should refuse this one, and he’d be right to.
Method 2: The Chip Chop
Each player gets a share of the money equal to their share of the chips. 50% of the chips gets 50% of the money.
| Alex | Ben | Cara | |
|---|---|---|---|
| Share of chips | 50% | 30% | 20% |
| Chip chop payout | $300 | $180 | $120 |
Total: $600. Simple, intuitive, and it feels fair because it rewards the player who’s been winning.
It’s also wrong, in a way that always favors the chip leader.
Here’s why. Alex’s 50,000 chips can’t win him more than $350, because that’s the whole first prize. But the chip chop pays him as if every chip were worth the same $0.006 all the way up. In reality, the more chips you hold, the less each additional chip is worth, because you can only cash one first-place prize. The chip chop ignores that and hands the leader money that belongs to the other two.
A slightly better version, the guaranteed-money chip chop, pays everyone third-place money first ($80 each) and splits the remaining $360 by chip share: $260 / $188 / $152. Closer, but it still leans toward the big stack. To see how far, you need ICM.
Method 3: The ICM Chop
ICM, the Independent Chip Model, answers one question: given these stacks and these payouts, what is each player’s expected prize money if the tournament is played out? It assumes every player is equally skilled and that the probability of finishing first is proportional to your share of the chips.
The arithmetic is three steps. Here it is for our example, nothing skipped.
Step 1: Probability of finishing first
Proportional to chips. Alex 50,000 of 100,000, so 50%. Ben 30%. Cara 20%.
Step 2: Probability of finishing second
To finish second, someone else has to finish first, and then you have to beat the remaining player. So for each player, take every possible winner, multiply the chance that winner finishes first by the chance you then beat the last player (your chips divided by the chips that are left once the winner’s stack is removed), and add it up.
Alex finishes second:
- Ben wins (30%), then Alex beats Cara: 50,000 / (50,000 + 20,000) = 5/7. Contribution: 0.30 × 0.7143 = 0.2143
- Cara wins (20%), then Alex beats Ben: 50,000 / (50,000 + 30,000) = 5/8. Contribution: 0.20 × 0.625 = 0.1250
- Total: 0.3393
Ben finishes second:
- Alex wins (50%), then Ben beats Cara: 30,000 / 50,000 = 0.6. Contribution: 0.50 × 0.6 = 0.3000
- Cara wins (20%), then Ben beats Alex: 30,000 / 80,000 = 0.375. Contribution: 0.20 × 0.375 = 0.0750
- Total: 0.3750
Cara finishes second:
- Alex wins (50%), then Cara beats Ben: 20,000 / 50,000 = 0.4. Contribution: 0.50 × 0.4 = 0.2000
- Ben wins (30%), then Cara beats Alex: 20,000 / 70,000 = 2/7. Contribution: 0.30 × 0.2857 = 0.0857
- Total: 0.2857
Check: 0.3393 + 0.3750 + 0.2857 = 1.0000. Exactly one player finishes second, so this has to add to one. It does.
Step 3: Probability of finishing third
Whatever’s left. Each player’s three probabilities must add to one.
- Alex: 1 − 0.5000 − 0.3393 = 0.1607
- Ben: 1 − 0.3000 − 0.3750 = 0.3250
- Cara: 1 − 0.2000 − 0.2857 = 0.5143
Check: 0.1607 + 0.3250 + 0.5143 = 1.0000.
Notice what this says about Cara. She’s a 20% shot to win and a 51% favorite to bust next. That’s the real shape of a short stack at a three-handed table, and it’s exactly why she should want a deal.
Step 4: Multiply by the payouts
Expected money = P(1st) × $350 + P(2nd) × $170 + P(3rd) × $80.
| P(1st) | P(2nd) | P(3rd) | ICM equity | |
|---|---|---|---|---|
| Alex | 0.5000 | 0.3393 | 0.1607 | 175.00 + 57.68 + 12.86 = $245.54 |
| Ben | 0.3000 | 0.3750 | 0.3250 | 105.00 + 63.75 + 26.00 = $194.75 |
| Cara | 0.2000 | 0.2857 | 0.5143 | 70.00 + 48.57 + 41.14 = $159.71 |
Total: $245.54 + $194.75 + $159.71 = $600.00. Every dollar accounted for.
Round to whole dollars and the chip leader eats the stray dollar: Alex $245, Ben $195, Cara $160. Sum $600.
Putting the Three Side by Side
This is the table to show at the kitchen counter when someone insists the chip chop is “obviously fair.”
| Alex (50k) | Ben (30k) | Cara (20k) | Total | |
|---|---|---|---|---|
| Even chop | $200 | $200 | $200 | $600 |
| Chip chop | $300 | $180 | $120 | $600 |
| ICM chop | $245 | $195 | $160 | $600 |
| Chip chop vs ICM | +$55 | −$15 | −$40 |
The chip chop pays Alex $55 more than his chips are actually worth. That $55 comes straight out of Ben’s and Cara’s pockets, mostly Cara’s. On a $600 prize pool that’s a 9% transfer from the short stack to the big stack, dressed up as fairness.
ICM gives the chip leader less than the chip chop every single time. It always will, because the chip chop pretends the 10,000th chip is worth as much as the first one, and it isn’t.
Method 4: The Compromise Everyone Actually Uses
Pure ICM has one problem: it ends the night with a handshake instead of a winner. Someone usually wants a trophy, or at least bragging rights, and most groups like having something left to play for.
So do this. Carve a small amount off first place, ICM the rest, and play out the remaining hands for the leftover.
With $50 set aside for the winner, the pool to be split is $550, paid as $300 / $170 / $80. The probabilities don’t change at all, only the first-place number does, so the arithmetic is quick:
- Alex: 0.5000 × 300 + 0.3393 × 170 + 0.1607 × 80 = 150.00 + 57.68 + 12.86 = $220.54
- Ben: 0.3000 × 300 + 0.3750 × 170 + 0.3250 × 80 = 90.00 + 63.75 + 26.00 = $179.75
- Cara: 0.2000 × 300 + 0.2857 × 170 + 0.5143 × 80 = 60.00 + 48.57 + 41.14 = $149.71
Total $550.00. Rounded with the chip leader absorbing the stray dollar again: Alex $220, Ben $180, Cara $150 locked up, and $50 to whoever wins the last hand.
Everybody banks real money. Everybody still has a reason to shove. The whole thing takes ten more minutes and then you’re done.
How much to leave on the table? Five to ten percent of the remaining pool is the sweet spot. Less than that and nobody cares who wins. More than that and you’ve just reintroduced the variance you were trying to remove.
House Rules for Deals
Write these down before your first game, not during one. Deals go wrong when the rules get made up at 11:40 PM by the person who happens to be losing.
Anyone can refuse. A deal needs every remaining player to say yes. One no means no deal, no argument, no vote. The game continues.
Deals only happen with the clock stopped. On a scheduled break, or with the clock paused. Nobody negotiates while the blinds are ticking, because the short stack is under pressure that gets worse by the minute. In Poker Timer the Space key pauses the clock. Use it.
The host announces the numbers out loud. Every figure, every player, before anyone agrees. “Alex $245, Ben $195, Cara $160, total $600.” If the host is still in the tournament, the player with the smallest stake in the deal reads them out instead.
Round to whole dollars. No one is settling $194.75 in cash. Round each number and give the stray dollar to the player who’s giving up the least, which is almost always the chip leader.
The chip leader usually gives a little. A chip leader who accepts $240 instead of $245 to get the deal done is buying certainty cheaply. One who insists on the chip chop number is asking the short stack to pay him $40 for the privilege of going home.
Never pressure the short stack. Cara is the one who can least afford to say no, which is exactly why nobody gets to lean on her. No “come on, it’s late,” no “you’re getting a great deal.” Put the numbers in front of her, give her a minute, take her answer.
Keep the posted payout structure as the fallback. If the deal falls apart, you play on for the prizes that were announced at the start. This is one reason to get your payout structure right before the first hand, so there’s never a question about what’s actually being chopped.
When One Player Says No
It will happen. Usually it’s the chip leader, who sees a 50% chance at $350 and would rather gamble. Occasionally it’s the short stack, who’s been getting lucky all night and feels it.
Don’t argue. The rule says anyone can refuse, so the refusal is already settled. Nod, say “no problem,” and restart the clock.
Play two or three more hands. Stacks move fast at this stage. The chip leader who refused at 50,000 may be sitting at 32,000 after one lost flip, and suddenly ICM looks a lot more attractive.
Let the refuser bring it back up. Don’t re-offer every hand. If the deal is going to happen, the player who said no will say so.
If nobody re-opens it, play it out. Nobody is owed a deal. The payouts were posted, the blinds are climbing, and the clock is running. Sometimes the fair thing is just poker.
It helps enormously to have the numbers visible. Poker Timer shows a live payout ladder, the average stack and the next payout on the clock screen, so the conversation about what’s fair starts from the same facts.
The Script
Say it like this. It takes about thirty seconds.
“We’re three-handed, blinds are 5k/10k, stacks are roughly 50, 30 and 20. I’m pausing the clock. Does anyone want to look at a deal?”
If anyone says no, restart the clock. If everyone says yes:
“Remaining prize money is $600. An ICM chop on these stacks is $245, $195, $160. If we want to leave something to play for, we can lock up $220, $180, $150 and play for the last $50. Take a minute. Nobody has to say yes.”
Then stop talking. Let the chip leader say “I’ll take $240 if that gets it done.” Let the short stack ask what ICM means. If everyone agrees, the host repeats the final figures out loud, the money gets paid, and the clock either restarts for the $50 or gets switched off.
Before Your Next Game
Set your payouts before the first hand and show them on screen all night, so a deal at the end is a conversation about dividing numbers everyone already knows. In Poker Timer you can set them up in the payout curve editor and the clock keeps the ladder, the average stack and the next payout visible the whole way through.
Put the deal rules in your group chat once. Anyone can refuse, clock paused, numbers read aloud, whole dollars, nobody leans on the short stack.
Then, the next time it’s 11:40 PM and three people are staring at $600, you’ll be able to settle it in five minutes and still be friends on Tuesday.
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