cEV vs $EV: The Critical Tournament Math Distinction

The Two Types of EV in Tournaments

cEV (Chip Expected Value)

The expected value of a play measured in chips. Same concept as EV in cash games.

Example: You shove 15BB from the BTN with A8s. villains fold 60% of the time (you win 3.5BB). When called, you have 42% equity vs their range.

• cEV = (0.60 × 3.5BB) + (0.40 × 0.42 × 33.5BB) + (0.40 × 0.58 × -15BB)
• cEV ≈ +1.33BB ✓ (profitable in chips)

$EV (Dollar Expected Value)

The expected value measured in real money (tournament equity). This accounts for ICM — the non-linear relationship between chips and money.

Same example near the bubble:

• If you bust, you lose $500 in equity
• If you double up, you gain only $300 in equity
• Even though cEV is +1.33BB, $EV might be negative!

When cEV ≠ $EV

Bubble Situations

The classic divergence. A +cEV shove can be -$EV because:

• Busting costs more equity than doubling gains
• Risk premium makes marginal spots unprofitable

Final Table Pay Jumps

Large pay differences between finishing positions create ICM pressure that makes many +cEV plays -$EV.

Big Stack vs Short Stack

• Short stack shoving: cEV ≈ $EV (little to lose)
• Medium stack calling: $EV may be significantly below cEV

Practical Decision Framework

When to Follow cEV (Ignore ICM)

1. Early tournament — everyone has equal stacks, no elimination pressure
2. Heads-up for the win — no ICM, it's winner-take-all in payout difference
3. You're the extreme short stack — your tournament equity is already minimal

When $EV Dominates

1. Bubble play — survival has enormous value
2. Final table with big pay jumps — each elimination is worth money to you
3. Medium stack facing an all-in — you have the most to lose relative to gain

Example: The Bubble Call

Situation: 20 players left, 18 get paid. You have 25BB on the BTN. SB shoves 12BB. You have AJo.

cEV analysis: AJo has ~55% equity vs SB shoving range. Call is clearly +cEV.

$EV analysis: If you call and lose:

• You drop to 13BB (still alive but crippled)
• Your tournament equity decreases from $800 to $400
• If you win: equity goes to $1,000 (+$200 gain)
• If you lose: equity drops to $400 (-$400 loss)
• $EV = (0.55 × $200) - (0.45 × $400) = $110 - $180 = -$70

Conclusion: Despite being +cEV, the call is -$EV. Fold is correct!

Key Takeaways

1. Early in tournaments: Play for chips (cEV)
2. Near money/final table: Play for money ($EV)
3. The bigger the pay jump, the more conservative you should be
4. Short stacks should push (their $EV and cEV align)
5. Medium stacks near pay jumps should fold close spots The concepts above form the backbone of solid poker thinking. Apply them gradually — pick one idea per session and focus on it until the decision feels automatic.