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💰
🧮 Math & Odds2026-04-0415 min read

Bankroll Management & Kelly Criterion

Scientific bankroll management. Learn the Kelly Criterion and avoid going broke.

💰 Why Bankroll Management Matters

In poker, skill determines how much you win; bankroll management determines how long you can play.

Even world-class players face 20-30 buy-in downswings. Good bankroll management:

✅ Survives losing streaks | ✅ Captures opportunities to move up | ✅ Keeps your mindset stable | ✅ Ensures long-term profit


📊 Core Concept: Buy-ins

A buy-in is the standard amount for one session at a given stake.

StakeBlindsStandard Buy-in
NL2$0.01/$0.02$2
NL5$0.02/$0.05$5
NL10$0.05/$0.10$10
NL25$0.10/$0.25$25
NL50$0.25/$0.50$50
NL100$0.50/$1.00$100

💡 Standard recommendation: Always buy in for 100 big blinds.


🛡️ Conservative (Recommended for Beginners)

Requirement: 50-100 buy-ins

StakeRequired Bankroll
NL10$500 - $1,000
NL25$1,250 - $2,500
NL50$2,500 - $5,000

✅ Very low risk of ruin (< 1%) | ✅ Low mental stress | ✅ Ideal for learning


⚖️ Balanced (Most Players)

Requirement: 30-50 buy-ins

This is the sweet spot that most pros recommend — controls risk while maintaining reasonable efficiency.


📈 Aggressive (Experienced Only)

Requirement: 20-30 buy-ins

⚠️ Higher ruin risk (5-10%) | ⚠️ Requires iron discipline | ⚠️ Only for proven winners


🧮 The Kelly Criterion

The Kelly Criterion determines optimal bet sizing when you have an edge.

**f\* = (bp - q) / b** where b = odds, p = win probability, q = 1-p

For Poker: Use Half-Kelly

Since poker variance is massive, we use Half-Kelly (multiply by 0.5) or Quarter-Kelly (0.25):

Recommended buy-ins = Full Kelly result × 0.25-0.5

Example: NL10 with 5BB/100 win rate → Kelly suggests ~11 buy-ins → Half-Kelly = ~22 buy-ins → Add safety → 30 buy-ins recommended


📋 The 5 Golden Rules

🎯 Rule 1: Three-Tier System

TierAmountPurpose
Active30 buy-insCurrent stake
Buffer~20 buy-insMove up/down zone
ReserveEmergency fundNever touched

📉 Rule 2: Mandatory Downgrades

  • Move up when: bankroll ≥ target stake × 30 buy-ins
  • Move down when: bankroll ≤ current stake × 20 buy-ins
  • 📈 Rule 3: Gradual Upgrades

  • Test new stake with 10-20% of bankroll
  • Gather at least 5,000 hands of data
  • Evaluate: positive win rate? Mental game stable?
  • Full upgrade if criteria met
  • 💸 Rule 4: Withdrawal Strategy

    When bankroll reaches current stake × 50 buy-ins:

  • Withdraw 50% of the excess
  • Keep 50% for moving up or variance buffer
  • 🎲 Rule 5: Variance Preparedness

    Hands PlayedPossible Downswing
    10,000-20 buy-ins
    50,000-30 buy-ins
    100,000-40 buy-ins

    🏆 Tournament Bankroll

    FormatBuy-ins NeededExample
    Cash Games30-50NL10 needs $300-500
    SNG50-100$10 SNG needs $500-1,000
    MTT100-200$10 MTT needs $1,000-2,000

    📊 Why MTTs need more: ROI typically 5-15%, variance is extreme, you need massive sample sizes


    ⚠️ Common Mistakes

  • ❌ Moving up with insufficient funds — 10 buy-ins at NL50? You'll go broke on normal variance
  • ❌ Refusing to move down — "I'll win it back" is how bankrolls die
  • ❌ No data tracking — You can't manage what you don't measure
  • ❌ Mixing life money and poker money — Never play with rent money

  • 🎯 Action Checklist

  • ☐ Calculate your total bankroll
  • ☐ Confirm your current stake
  • ☐ Check buy-in count against recommendations
  • ☐ Set upgrade/downgrade thresholds
  • ☐ Start tracking detailed data
  • ☐ Set up a withdrawal plan
  • ☐ Review and adjust monthly
  • 💡 "The goal of bankroll management is not to maximize profit — it's to minimize risk of ruin."

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