TG
term-metadata.sys
SectionPoker
Categorypoker-math
DifficultyAdvanced
Status
VERIFIED
Related5 terms
UpdatedFeb 2026

ICM

Independent Chip ModelTournament Equity ModelChip Value Model
> Contents
Definition

A mathematical model that converts tournament chip stacks into real money equity by calculating each player's probability of finishing in each paying position.

What is ICM?

You're on the bubble of a $100,000 tournament. You have 500,000 chips (average stack). Big blind shoves 100,000 chips. You look down at pocket Kings.

In a cash game? Snap call - you're 80% favorite.

In this tournament with ICM? Often fold.

Why? Because those 100,000 chips you risk are worth more in dollars than the 100,000 chips you'd win. Welcome to ICM.

Simple explanation: ICM converts chips into money by recognizing that in tournaments, chips ≠ dollars. Your first chip is worth less than your last chip, and doubling up doesn't double your prize pool equity.

TL;DR - Quick Reference

ConceptExplanation
What ICM isModel converting chip stacks → dollar equity
Key insightChips ≠ money in tournaments
When it matters mostFinal table, bubble, pay jumps
Main principleSurvival value > chip accumulation
Critical mistakePlaying chip EV instead of $ EV
ImpactCan turn +chip EV calls into -$ EV folds

Bottom line: ICM explains why tight play near the bubble is mathematically correct, not "scared money." It's survival value calculation.


Understanding ICM for Tournament Players

Why Chips Aren't Money

In cash games:

  • 100 chips = $100 (always)
  • Doubling up = doubling your money
  • You can rebuy anytime
  • Chip EV = Dollar EV

In tournaments:

  • 100 chips might be worth 50,50, 100, or $200 depending on context
  • Doubling up ≠ doubling prize pool equity
  • You can't rebuy after elimination
  • Chip EV ≠ Dollar EV

The Fundamental ICM Truth

First place gets 40% of prize pool but doesn't need 100% of the chips.

Each additional chip is worth less than the last because:

  1. You can't win more than first place money
  2. More chips = higher risk of costly elimination
  3. Other players also have survival value

The Mathematics of ICM

ICM Equity Curve

How chip percentage translates to prize pool equity (diminishing returns)

💡 Key Insight

With 50% of chips, you don't have 50% equity! ICM shows you have ~43-45% because chips have diminishing value as you accumulate more.

Simplified 3-player ICM model with 50%/30%/20% payout structure. Real tournament ICM is more complex.

Basic ICM Formula (3 Players)

For a player with stack S out of total chips T:

Equity=P1st×Payout1+P2nd×Payout2+P3rd×Payout3Equity = P_{1st} \times Payout_1 + P_{2nd} \times Payout_2 + P_{3rd} \times Payout_3

Where probability of finishing 1st is approximately: P1st=STP_{1st} = \frac{S}{T}

But this is simplified. Real ICM uses recursive calculation accounting for all elimination scenarios.

ICM Calculation Example

3 players, $10,000 prize pool (50% / 30% / 20%):

  • Player A: 10,000 chips (50%)
  • Player B: 6,000 chips (30%)
  • Player C: 4,000 chips (20%)

"Chip EV" (wrong) says:

  • Player A: $5,000 (50% of chips)
  • Player B: $3,000 (30% of chips)
  • Player C: $2,000 (20% of chips)

ICM (correct) says:

  • **Player A: 4,383(not4,383** (not 5,000!)
  • Player B: $3,179
  • Player C: $2,438

Why the difference?

  • Player A can't win more than $5,000 (1st place) even with all chips
  • Player C has "survival value" - they can't finish worse than 3rd ($2,000 guaranteed)
  • Player A risks more dollar equity per chip than Player C

Player A has 50% of chips but only 43.8% of prize pool equity. That's ICM pressure.


When ICM Matters Most

1. Tournament Bubble (Pay Jump from $0 to Money)

Scenario: 10 players left, 9 get paid. You're mid-stack.

ICM pressure:

  • Massive pay jump (00 → 500)
  • Short stacks desperate to fold into money
  • Big stacks can bully without calling
  • Your strategy: Play extremely tight, let short stacks eliminate each other

Example: You have AK, big stack shoves. Normally +EV call. With ICM? Fold - your tournament life is worth more than the chips. The risk premium increases massively at this point.

2. Final Table Bubble

Scenario: 10 players → 9-handed final table with big pay jump.

Similar to money bubble but less extreme. Still significant ICM pressure.

3. Short-Handed Play (3-5 Players)

ICM pressure is maximum at 3-4 players because:

  • Large pay jumps between places
  • Each decision heavily impacts final placement
  • Chip redistribution has huge equity consequences

4. Satellite Tournaments

Everyone who wins gets the same prize (tournament ticket).

ICM strategy: Once you have enough chips to finish top X, fold everything. Additional chips have zero value.

Example: Top 10 get $1,000 ticket. You have 12th biggest stack out of 15 players. Fold every hand until 5 players bust.


ICM Strategy Adjustments

ICM Pressure: Chip EV vs Dollar EV

Diminishing chip value as stack grows (3-player tournament, 50%/30%/20% payout)

Chip EV (Wrong)

50% chips = 50% equity (linear, incorrect)

Dollar EV (Correct)

50% chips ≈ 43-45% equity (ICM adjusted)

Simplified ICM model for 3 players. Real ICM calculations are more complex and account for all stack distributions.

When YOU Have Big Stack

Advantages:

  • Apply pressure to medium stacks (they risk more)
  • Steal blinds profitably
  • Accumulate chips at lower risk

This aggressive play style requires good bankroll management to stay profitable long-term.

Mistakes to avoid:Don't bully short stacks - they have nothing to lose, will call lighter ❌ Avoid big stack vs. big stack wars - you both risk massive equity ✅ Target medium stacks - they feel maximum ICM pressure

The correct position at the table is crucial for this strategy.

Example: You have 40% of chips, medium stack has 25%, short stack has 10%.

  • Shoving into medium stack: High fold equity (they risk ladder position)
  • Shoving into short stack: Low fold equity (they're desperate, will call)

When YOU Have Medium Stack

ICM pressure is maximum on YOU.

Strategy:

  • Play tighter than chip EV suggests
  • Survival > chip accumulation
  • Let short stacks and big stacks battle
  • Avoid marginal spots

Example: Bubble with AQ offsuit, big stack shoves.

  • Chip EV: Probably call (60%+ equity vs. range)
  • ICM: Fold - risking your stack is -$EV even if +chip EV

This feels "weak" but is mathematically correct.

When YOU Have Short Stack

ICM pressure is LOWEST on you - paradoxically, this means aggression.

Why:

  • You can't fall much further in payout
  • Big/medium stacks don't want to call and eliminate you
  • Your fold equity is massive

Strategy:

  • Push/fold aggressively with strong all-in decisions
  • Wider shoving ranges than chip EV
  • Force big/medium stacks into ICM-punished calls
  • Understand your pot odds to find optimal push ranges

Example: You have 8BB on bubble, Button with K9o.

  • Chip EV: Marginal push
  • ICM: Clear push - big blind faces ICM suicide to call even with AJ

Common ICM Mistakes

Mistake #1: Calling Too Wide on the Bubble

❌ Wrong: "I have AK, I have to call this shove!"

✅ Right: "I have AK with 20BB. Big stack shoved. Calling risks my tournament life for a min-cash difference. Fold."

Why it's wrong: Even premium hands can be ICM folds when:

  • You're mid-stack on bubble
  • Pay jump is large
  • You have comfortable stack to fold into money

ICM Trainer Lesson: Run this scenario in the ICM Trainer - you'll see AK is often a fold.

Mistake #2: Playing Chip EV vs. Short Stacks

❌ Wrong: "I have 50% of chips, I can bully the 5BB short stack with any two cards."

✅ Right: "Short stack will call very wide (ICM pressure low on them). I need actual equity to justify aggression."

Why it's wrong: Short stacks have the least ICM pressure. They'll call your bluffs because they can't fall much further in payouts.

Mistake #3: Big Stack vs. Big Stack Wars

❌ Wrong: "I'll battle this other big stack for dominance!"

✅ Right: "We're both risking massive dollar equity. Unless I have the nuts, I'll let them battle medium/short stacks instead."

Why it's wrong: Two big stacks fighting gifts equity to the rest of the field. The loser falls from ~30% equity to ~15% equity in one hand.

ICM Rule: Avoid confrontation with comparable or larger stacks unless you have monster hands.

Mistake #4: Not Adjusting to Short Stack Desperation

❌ Wrong: "I'm the big stack on the bubble, I can shove any two cards and everyone folds."

✅ Right: "Medium stacks will fold a lot (high ICM pressure), but short stacks will call wide (low ICM pressure). I need to adjust my shoving range accordingly."

Reality: Short stacks on bubble call wider than chip EV because they're already near minimum payout.


ICM Chops (Deal-Making)

When final table players agree to split the prize pool, ICM determines fair splits.

Example: 3-Way Chop

$10,000 prize pool (50%/30%/20%):

  • Player A: 12,000 chips
  • Player B: 5,000 chips
  • Player C: 3,000 chips

"Equal chop" (wrong): $3,333 each

"Chip chop" (wrong):

  • Player A: $6,000 (60% of chips)
  • Player B: $2,500 (25% of chips)
  • Player C: $1,500 (15% of chips)

ICM chop (correct):

  • Player A: $4,891
  • Player B: $2,986
  • Player C: $2,123

Why ICM chop is fair: It accounts for payout structure, not just chip distribution. Player A has chip lead but can't win 60% of prize pool (max is 50% = 1st place).

Use an ICM calculator to negotiate fair deals. Don't accept chip chops - they favor big stacks unfairly.


ICM vs. Chip EV: Decision Examples

Scenario 1: Bubble Call Decision

Setup:

  • 11 players left, top 10 paid ($500 min cash)
  • You have 300,000 chips (2nd place)
  • Short stack (100,000) shoves UTG
  • You have AK in big blind

Chip EV: Clear call (AK vs. UTG range = ~63% equity)

ICM Analysis:

  • If you call and lose: Drop to ~10th place, might not cash
  • If you fold: Almost guaranteed cash by outlasting shorter stacks
  • Dollar risk: ~$500 (cashing vs. not)
  • Dollar gain: ~$200 (improving ladder position)

ICM Decision: FOLD

This feels insane, but the math is clear - you risk more in bubble/ladder value than you gain in chip EV.

Scenario 2: Final Table Push

Setup:

  • 4 players left, payouts: 10,000/10,000/6,000/4,000/4,000/2,000
  • You: 600,000 chips (25%)
  • Villain: 1,200,000 chips (50%)
  • You have QQ on button

Chip EV: Shove (QQ crushes button opening range)

ICM Analysis:

  • You have $4,200 ICM equity currently
  • If you lose all-in: Drop to $2,000 (4th place)
  • If you double: Increase to ~$5,500 ICM equity
  • Risk: 2,200(2,200 (4,200 - $2,000)
  • Gain: 1,300(1,300 (5,500 - $4,200)

Risk-reward ratio: Risk 2,200towin2,200 to win 1,300 = need 62.9% equity (not just 50%)

Against villain's calling range, do you have 63%+? Depends on villain's ICM awareness.

If villain knows ICM: They call tighter, you can shove wider. If villain is ICM-unaware: They call chip-EV, you should tighten.


  • Equity: ICM modifies hand equity calculations. A hand with 70% chip equity might have 55% dollar equity due to ICM pressure.
  • Tournament Strategy: ICM is the mathematical foundation of tournament poker strategy. Every final table decision should consider ICM.
  • Expected Value (EV): In tournaments, chip EV ≠ dollar EV. ICM bridges this gap by calculating $ EV from chip stacks.
  • Pot Odds: Traditional pot odds assume chip EV. ICM-adjusted pot odds account for survival value and pay jumps.
  • Bubble Play: The bubble is the most extreme ICM scenario. Understanding ICM is essential for profitable bubble play.

Practical Tools

ICM Calculators and Trainers

  1. ICM Trainer - Interactive ICM scenarios with instant feedback
  2. Equity Calculator - Calculate hand vs. range equity, then adjust for ICM
  3. Tournament Calculator - Full tournament simulations with ICM modeling
  4. Push-Fold Calculator - ICM-adjusted push/fold charts for short stack play

ICM Training Plan

Week 1: Basics

  • Understand why chips ≠ money
  • Run 3-player ICM scenarios
  • Practice bubble fold decisions

Week 2: Application

  • Final table simulations in ICM Trainer
  • Identify when to deviate from chip EV
  • Study big stack, medium stack, short stack strategies

Week 3: Advanced

  • ICM-adjusted hand ranges
  • Deal-making calculations
  • Exploitative ICM adjustments

Key Takeaways

  • Chips ≠ Dollars - First chip worth less than last chip due to payout structure
  • Bubble is extreme ICM - Massive pay jumps create counter-intuitive folds
  • Stack size determines strategy - Big/medium/short stacks have different ICM pressures
  • AK can be a fold - Even premium hands are ICM folds in high-pressure spots
  • Short stacks are aggressive - Low ICM pressure allows wider shoving
  • Medium stacks are tight - Maximum ICM pressure forces cautious play
  • Use ICM for deals - Don't accept chip chops, demand ICM-fair splits

Remember: Learning ICM separates good tournament players from great ones. Master it, and you'll win 20-30% more in tournaments by avoiding costly ICM mistakes.


FAQ

When should I start thinking about ICM?

ICM becomes relevant when pay jumps are significant:

  • Early tournament: Ignore ICM, play chip EV (pay jumps are tiny)
  • Near bubble: Start considering ICM (large $0 → min cash jump)
  • Final 2 tables: ICM is critical (every elimination = big pay jump)
  • Final table: ICM dominates all decisions (except heads-up)

Rule of thumb: If busting costs you more than one buy-in worth of ladder money, use ICM.

How do I calculate ICM during a hand?

You don't. ICM calculations are too complex for real-time mental math.

Instead:

  1. Study ICM concepts beforehand
  2. Use ICM Trainer to build intuition
  3. Memorize common scenarios (bubble folds, short stack shoves)
  4. Apply heuristics at the table

Heuristics:

  • Bubble/final table? Tighten medium stacks, loosen short stacks
  • Big pay jump? Value survival over chip accumulation
  • Short stack shoves? They're likely shoving wider than chip EV

Can ICM tell me to fold pocket Aces?

Yes, but extremely rarely.

Scenario where AA is an ICM fold:

  • You're 2nd in chips on bubble with comfortable stack
  • Big stack shoves (covering you)
  • Short stack is all-in separately
  • If you fold, short stack likely busts, you cash

Math: Your tournament life is worth more than the chip EV of calling with AA, because you're almost guaranteed to cash by folding.

This happens <0.1% of the time. Don't look for AA folds - look for AQ, AJ, small pairs where ICM folds are common.

How does ICM affect heads-up play?

ICM becomes irrelevant heads-up because:

  • Only two payout spots left (1st and 2nd)
  • Chip EV = Dollar EV (doubling up = moving from 2nd to 1st)
  • No ladder/bubble considerations

Heads-up strategy: Ignore ICM, play chip EV. Aggression and reads matter, not ICM pressure.

Should I take an ICM chop or play it out?

Depends on your edge:

Take the chop if:

  • You're less skilled than opponents
  • You're tired / not playing your best
  • ICM value is higher than your expected value playing out

Play it out if:

  • You have skill edge over opponents
  • You're in great mental state
  • Opponents are ICM-unaware (you can exploit)

Example: ICM chop offers you 4,000.Ifyouthinkyouhave304,000. If you think you have 30% chance to win 8,000 (1st) + 70% chance of $3,000 (average of 2nd/3rd):

EV = 0.30 \times 8000 + 0.70 \times 3000 = 2400 + 2100 = $4,500

You should play it out (expected 4,500vs.guaranteed4,500 vs. guaranteed 4,000 chop).

How does variance factor into ICM?

ICM assumes zero variance (infinite sample). In reality:

  • Short sample (1 tournament): High variance, ICM suggests cautious play
  • Long sample (100+ tournaments): Lower variance, can take more ICM-negative risks for chip accumulation

Bankroll management rule: If you're playing above your bankroll level, lean more conservative than ICM suggests. ICM calculates this tournament's EV, not your bankroll's survival.

Use the Bankroll Calculator to determine how many buy-ins you need to comfortably play tournament stakes.


Final Thought: ICM is the single most important concept separating amateur from professional tournament poker. Study it, practice it with the ICM Trainer, and watch your tournament ROI increase by 20-30%. The math doesn't lie.

author-credentials.sysE-E-A-T
Evgeniy Volkov

Evgeny Volkov

Verified Expert
Math & Software Engineer, iGaming Expert

Over 10 years developing software for the gaming industry. Advanced degree in Mathematics. Specializing in probability analysis, RNG algorithms, and mathematical gambling models.

Experience10+
SpecializationiGaming
Status
Active
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