Kelly Criterion Experiments

Optimal bet sizing visualized through Monte Carlo simulations of the Kelly criterion.

Website · GitHub

Implemented the Kelly criterion formula and ran Monte Carlo simulations to visualize how different bet-sizing strategies affect long-run wealth growth.

Key results:

  • Plotted optimal fraction (f*) vs win probability and odds across parameter ranges
  • Simulated 50,000-bet wealth trajectories for 0.1× to 4× Kelly multipliers
  • Demonstrated that ~0.8× Kelly consistently dominates, while overbetting (>2× Kelly) leads to ruin despite a positive edge
  • 10 independent experiments with fresh random seeds confirm robustness

Technologies: Python, NumPy, Matplotlib