Empiriceme · Precept · Normative Principle

Kelly Criterion

Also called Kelly bet; Kelly sizing

The bet size that maximises long-run growth is proportional to edge divided by odds; betting more reduces growth.

Kelly's 1956 formula from information theory, adopted by blackjack teams and hedge funds. Its practical lesson is asymmetric: betting above the Kelly fraction reduces long-run growth and eventually guarantees ruin.

In practice

  • A trader with a genuine 2% edge who stakes a quarter of capital per trade goes broke faster than one with no edge who stakes 1%.
  • A firm with a real advantage in one market that commits its whole balance sheet to it does not survive the first bad year.
Further reading
Wikipedia
Subject
Economics & Incentives
Essay
Rules for choosing, and the paradoxes that humbled the theory

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