ICM with 6 players left and 2 places paid

6 players, 2 paid places at 65/35 percent: across the stack patterns below, ICM puts a stack as far as 1.67 points from its share of the chips, and the highest bubble factor is 1.46.

  • 6Players left
  • 65/35Places paid
  • 5Stack patterns

How do the payouts shape ICM with 6 players left?

2 of the 6 players still in get paid, at 65/35 percent. The step from second to nothing is 35 points and the step from first to second is 30 points. That leaves 4 players short of the money.

How do the stack patterns compare with 6 players left?

Each pattern below is one way 6 players might split their chips. The table puts the biggest and smallest stack of each next to their chip share, with the highest bubble factor in the pattern. Open a pattern for the full table of every seat.

Biggest and smallest stack by pattern
PatternBiggest: share of chipsBiggest: prize equitySmallest: share of chipsSmallest: prize equityHighest bubble factor
Even stacks16.7%16.7%16.7%16.7%1.16
One chip leader28.6%26.9%14.3%14.6%1.19
One short stack18.8%18.7%6.3%6.6%1.19
Two big stacks30.0%28.7%10.0%10.7%1.46
Stack ladder28.6%27.3%4.8%5.1%1.33
Prize equity of every seat, biggest stack first, in percent of the prize pool
PatternSeat 1Seat 2Seat 3Seat 4Seat 5Seat 6
Even stacks16.6716.6716.6716.6716.6716.67
One chip leader26.9014.6214.6214.6214.6214.62
One short stack18.6818.6818.6818.6818.686.59
Two big stacks28.6728.6710.6710.6710.6710.67
Stack ladder27.2723.4519.2814.8010.075.13
Chance of finishing in the money
PatternBiggest stackSmallest stack
Even stacks33.3%33.3%
One chip leader52.4%29.5%
One short stack37.3%13.5%
Two big stacks56.2%21.9%
Stack ladder53.4%10.6%

What does each pattern show with 6 players left?

Even stacks. Seat 1 turns 16.67% of the chips into 16.67% of the prize pool (+0.00 points), while Seat 6 turns 16.67% into 16.67% (+0.00 points).

One chip leader: 28.57% of the chips is worth 26.90% at the top of the table (-1.67 points), and 14.29% is worth 14.62% at the bottom (+0.33 points).

One short stack: 18.75% of the chips is worth 18.68% at the top of the table (-0.07 points), and 6.25% is worth 6.59% at the bottom (+0.34 points).

Two big stacks: 30.00% of the chips is worth 28.67% at the top of the table (-1.33 points), and 10.00% is worth 10.67% at the bottom (+0.67 points).

Stack ladder: the biggest stack holds 28.57% of the chips and is worth 27.27%, which is -1.30 points. The smallest holds 4.76% and is worth 5.13%, +0.37 points.

What does a call cost with 6 players left?

Break-even equity when the smallest stack calls the biggest
PatternAll-in (chips)Bubble factorChip break-evenICM break-even
Even stacks10,0001.162850.0%53.8%
One chip leader10,0001.189950.0%54.3%
One short stack5,0001.062050.0%51.5%
Two big stacks5,0001.132750.0%53.1%
Stack ladder5,0001.060350.0%51.5%

The costliest call for a short stack is in the "one chip leader" pattern, where it needs 54.3% equity rather than 50%. Put that number against the equity of the hand you hold before you call off a stack.

Where can I look at a different payout or player count?

The other seven structure pages cover three to six players left with two or three places paid. The ICM calculator takes any stacks and payouts of your own, up to ten players.

How were these ICM tables computed?

A player finishes first with chance equal to their share of the chips; each next place goes to the players left in proportion to their stacks. Equity is the payout of each place times the chance of finishing there. The bubble factor is prize equity lost by losing the all-in divided by prize equity gained by winning it, with the other stacks unchanged; a player whose stack reaches 0 busts and takes the lowest place.

Source: Malmuth-Harville ICM, computed by GeorgeLiPoker's own library. The model follows D. A. Harville, 'Assigning Probabilities to the Outcomes of Multi-Entry Competitions', Journal of the American Statistical Association, 1973.

Questions

What is the ICM value of an even stack with 6 players left and 2 paid?
Each seat is worth 16.67% of the prize pool, the same as its share of the chips, because equal stacks are equal in ICM. The bubble factor between any two seats is 1.16.
How far can ICM move a stack from its chip share with 6 players left?
Up to 1.67 points in the one chip leader pattern with 2 places paid at 65/35 percent. The biggest stack gives equity up and the smallest takes it.
Do these examples include the effect of blinds or antes?
No. ICM values stacks by chips alone, so blinds, antes, position and the skill of the players do not enter. Use the push or fold calculator to price a shove with blinds and a prize pool together.