Kelly Criterion
The mathematically optimal staking strategy that maximizes long-term growth while managing risk.
Optimal Bankroll Growth Through Scientific Staking
How Kelly Criterion Works
The Kelly Criterion is a formula developed by scientist John L. Kelly Jr. in 1956. It calculates the optimal percentage of your bankroll to wager on a bet based on your edge and the odds, maximizing long-term growth while minimizing risk of ruin.
The Formula:
Kelly % = (bp – q) / b
- b = decimal odds minus 1 (net odds)
- p = probability of winning (our AI prediction)
- q = probability of losing (1 - p)
How Kelly Criterion Works
Step 1: Calculate Your Edge
First, we determine your edge – the difference between the true probability (from our AI) and the market probability (from bookmaker odds). This edge represents your statistical advantage on each bet.
Step 2: Apply the Kelly Formula
The Kelly formula takes your edge and the odds to calculate the optimal stake size as a percentage of your bankroll. Higher edge = larger stake. Better odds = larger stake. This balances aggression with risk management.
Step 3: Adjust for Risk Tolerance
Full Kelly can be aggressive. We offer Half Kelly (50% of full) and Quarter Kelly (25% of full) for more conservative approaches. These fractional Kelly strategies reduce volatility while still growing your bankroll optimally.
Step 4: Dynamic Bankroll Adjustment
As your bankroll grows or shrinks, Kelly stakes automatically adjust proportionally. Win streaks increase bet sizes, loss streaks decrease them – this natural risk management protects you from ruin while maximizing returns during hot streaks.
Kelly Criterion in Action
Bookmaker Odds
2.50
AI Win Probability
50%
Your Bankroll
$1,000
Calculation Steps:
1. Net odds (b): 2.50 – 1 = 1.50
2. Win probability (p): 0.50 (50%)
3. Lose probability (q): 1 – 0.50 = 0.50
4. Kelly %: (1.50 x 0.50 – 0.50) / 1.50 = 0.25 / 1.50 = 16.67%
Full Kelly
$167
16.67% of bankroll
Aggressive, optimal growth
Half Kelly
$83
8.33% of bankroll
Recommended, balanced approach
Quarter Kelly
$42
4.17% of bankroll
Conservative, minimal volatility
Why Kelly Criterion is Superior
Maximizes Long-Term Growth
Mathematically proven to achieve the highest long-term growth rate possible. No other staking strategy can outperform Kelly over time.
Prevents Bankruptcy
Kelly never risks your entire bankroll. It naturally reduces bet sizes during losing streaks, protecting you from ruin while allowing recovery.
Adapts to Your Edge
Larger edge = bigger bets. Smaller edge = smaller bets. Kelly automatically calibrates your stake to match the strength of each opportunity.
Removes Emotion
No guesswork or gut feelings. Kelly provides an objective, mathematical stake size for every bet, eliminating emotional decision-making.
Kelly vs. Other Staking Methods
Method
Growth Rate
Risk
Adaptability
Kelly Criterion
Optimal ✓
Managed ✓
Dynamic ✓
Flat Staking
Slow
Low
None
Percentage (Fixed %)
Moderate
Medium
Partial
Martingale
Negative
Very High ✗
None
Intuition/Gut Feel
Inconsistent
Unpredictable ✗
Emotional ✗
Start Using Kelly Criterion Today
Every value bet comes with automated Kelly stake recommendations.