Why chips stop being money
In a cash game a chip is a dollar, and a decision that wins chips on average wins money on average. A tournament breaks that link at the moment the prize pool is divided unevenly.
The reason is the payout ladder. First place does not pay ten times what tenth pays in proportion to the chips involved, so doubling your stack never doubles your equity. The Independent Chip Model, or ICM, is the standard way of turning a stack into a dollar figure. It assumes each player's chance of finishing first equals their share of the chips in play, then works down the ladder from there.
Three players, $1,000, and the arithmetic
Take a table down to three players with 10,000 chips in play and a $1,000 prize pool paying 50%, 30% and 20%. That is $500, $300 and $200.
| Player | Stack | Chip share | ICM equity | Value per chip |
|---|---|---|---|---|
| Leader | 5,000 | 50% | $383.93 | $0.077 |
| Middle | 3,000 | 30% | $327.50 | $0.109 |
| Short | 2,000 | 20% | $288.57 | $0.144 |
The three equities add to $1,000, as they must. Notice what happened to the leader. Half the chips in play, and nothing close to half the prize pool: $383.93 against the $500 a flat split of chips would suggest.
The per-chip column is the whole idea in one line. The leader's chips are worth 7.7 cents each and the short stack's are worth 14.4 cents each, nearly double. The short stack already owns $200 of guaranteed money spread across only 2,000 chips, while the leader's extra chips buy diminishing amounts of an outcome that is capped at $500.
The coinflip that loses money
The leader now gets all-in against the short stack for the short stack's 2,000 chips, as close to a pure 50-50 as poker offers. In chips this is free: he wins 2,000 half the time and loses 2,000 half the time.
Run both branches through ICM.
- He wins. Stacks become 7,000 and 3,000 heads-up, with $200 already paid out to the busted short stack. His equity is $440.00.
- He loses. Stacks become 3,000, 3,000 and 4,000, and he is no longer the leader. His equity is $322.86.
The average of those two is $381.43. He started the hand with $383.93, so a coinflip that is exactly neutral in chips costs him $2.50 in cash. He does not get to be the leader twice.
The short stack fares worse in the same hand. Winning lifts him to $354.29 and losing pays him the $200 for third, averaging $277.14 against the $288.57 he had. Two players both lose money on a fair coinflip, which raises the obvious question of where it went.
It went to the player who folded. The middle stack was not in the hand at all, and his equity rises from $327.50 to $341.43. Losing $2.50 and $11.43 while a third party gains $13.93 is the clearest statement of what a payout ladder does to a poker table.
What follows from that
The pressure runs in one direction. A big stack risking chips against a shorter one is spending expensive equity to buy cheap chips, so the marginal calls that are automatic in a cash game are losing plays near the money.
Short stacks are the mirror image. Their chips are worth the most per chip, but they hold the fewest, and folding into a pay jump has a real dollar value that a chip count does not show.
Middle stacks pay the largest tax on the bubble. They have enough to lose by busting and not enough to apply pressure, which is why the standard advice is to avoid confrontations there unless the hand is clear.
What the model does not know
ICM is a model, and its assumptions are worth stating plainly.
- It assumes finishing position follows chip share, and nothing else. A strong player and a weak player with 5,000 chips get the same equity.
- It ignores blinds, antes and position. A stack about to post the big blind is worth less than the model says.
- It ignores future play. The ability to fold for an hour, or to attack a table that will not fight back, does not appear anywhere in the formula.
- It is a snapshot. Every hand changes the numbers, including the hands you are not in.
None of that makes the direction wrong. Chip equity and dollar equity come apart as soon as the payouts are uneven, and ICM measures how far. It is also the usual starting point when a final table wants to discuss a deal, because it produces a number that everybody can check.
The term itself is defined at ICM, with bubble and variance alongside it. Payout structures for the events these situations come from are listed in our tournament section.
Where the numbers on this site come from
This article is editorial. The reference sections below derive their figures from the cards, the dice or the pay table rather than quoting them, and each one shows the working:
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First published on this site's WordPress blog between September and December 2025; rewritten to this site's current standard in August 2026.