The Kelly Criterion: Optimal Bankroll Management

What is the Kelly Criterion?

Developed by John L. Kelly Jr., this formula determines the optimal stake size based on edge and bankroll to maximize growth while minimizing risk.

Formula:

f∗=bbp−q​
  • f∗= fraction of bankroll to bet
  • b= decimal odds – 1
  • p= probability of winning
  • q= probability of losing (1 – p)

Example:

  • Odds: 2.50 (b = 1.5)
  • Estimated win probability: 55% (p = 0.55, q = 0.45)
  • Calculation: f^* = \frac{(1.5 \times 0.55) – 0.45}{1.5} = 0.15 \text{ (15% of bankroll)}

Pros & Cons:

Minimizes risk of ruin​ while maximizing growth.

❌ Overestimating edge can lead to heavy losses.

Final Thoughts

Both strategies require discipline and data analysis. Value betting​ works best for long-term profitability, while the Kelly Criterion​ helps manage risk effectively. Combining them can lead to a powerful betting approach in 2024.

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