Kelly Criterion vs Martingale
Which bankroll management strategy is better for you?
Educational tool • Bet responsibly
⚙️ Comparative Simulator
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📊 Simulation Results
Kelly Criterion
Average Final Bankroll:
$0.00
Average Growth:
0%
Maximum Drawdown:
0%
Win Rate:
0%
Martingale
Average Final Bankroll:
$0.00
Average Growth:
0%
Maximum Drawdown:
0%
Ruin Rate:
0%
🏆 SIMULATION WINNER
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📋 Detailed Comparison
| Characteristic | Kelly Criterion | Martingale |
|---|---|---|
| Objective | Maximize bankroll growth 德语 | Recover losses and guarantee profit |
| Approach 德语 | Percentage of bankroll | 德语Double bet after loss |
| Risk 德语 | Controlled (fractional) | 德语High (exponential growth) |
| Requires analysis 德语 | Yes (probability + odds) | 德语No (only odds) |
| Recommended profile 德语 | Professional investor | 德语Recreational bettor |
| Growth 德语 | Consistent long-term | 德语Fast but volatile |
| Risk of ruin 德语 | Low (with fractional Kelly) | 德语High (long sequences) |
| Complexity 德语 | Medium (requires calculations) | 德语Low (simple formula) |
✅ Kelly Criterion - Advantages
- Maximizes long-term bankroll growth
- Controlled risk (especially with fractional Kelly)
- Solid mathematical foundation
- Adjusts bet size to current bankroll
- Ideal for professional bettors
❌ Kelly Criterion - Disadvantages
- Requires accurate probability estimation
- Full Kelly is very aggressive
- Complex for beginners
- May suggest betting too much on high confidence
✅ Martingale - Advantages
- Simple and easy to understand
- Guaranteed loss recovery (in theory)
- Predictable profit per cycle
- No probability analysis required
- Ideal for beginners
❌ Martingale - Disadvantages
- Exponential growth of bets
- High risk of ruin
- Requires infinite bankroll
- Limited by house limits
- Inefficient in the long run
🎯 When to Use Each Strategy
Use Kelly Criterion when:
- You have a mathematical edge over the odds
- You can estimate probabilities accurately
- You have a substantial bankroll
- You seek consistent long-term growth
- You are a professional or semi-professional bettor
Use Martingale when:
- You are a beginner wanting something simple
- You have a small bankroll and want to bet recreationally
- You don't have time or knowledge for complex analysis
- You seek quick loss recovery
- You are willing to accept higher risks
Final Recommendation
For most bettors, the best approach is to combine both strategies: use the Kelly Criterion to determine bet size (fractional Kelly of 25%) and Martingale as a recovery strategy only in specific cases. Never use Martingale as your main long-term strategy.
📐 Mathematical Formulas
Kelly Criterion
f* = (p × b - q) / b
Where: p = win probability, q = loss probability, b = odds - 1
Martingale (Odds 2.0)
Next Bet = Accumulated Loss + Base Bet
The bet doubles with each consecutive loss
Fractional Kelly
f* Fractional = f* Total × Factor
Common factor: 25% (Conservative Kelly)
For Educational Purposes Only: Both strategies have risks and do not guarantee profits. Bet responsibly.