ENSign in

Maths · the arithmetic behind a price

Maths

The Kelly criterion, and why almost nobody should use it whole

Stake a fraction of bankroll equal to your edge divided by the odds: (bp − q) ÷ b in decimal terms. A 55 per cent chance at even money gives (0.55 − 0.45) ÷ 1, which is 10 per cent of bankroll.

It is the stake that maximises the long-run growth rate of a bankroll, which is a different objective from maximising expected profit. Maximising profit alone recommends betting everything, and betting everything eventually loses everything.

Ten per cent is enormous A 10 per cent stake means four losses in a row leaves you at 65 per cent of the bankroll. That sequence is entirely ordinary at a 55 per cent strike rate, and Kelly regards it as optimal.

It requires knowing your edge, which almost nobody does. Fed an edge estimate that is twice the true one, Kelly recommends a stake far above the growth-maximising level and turns a winning proposition into a volatile one.

That is also the expensive part. Over-estimated edges are the normal case, not the exception, so full Kelly in practice is usually over-betting with a formula attached to it.

What to do with it. Use a quarter or a half of the recommendation, and only with an edge estimate you could defend to somebody sceptical.

Today's free pick (not the main pick)

Today's free pick, for your email

Team, bet, price and the hash it was sealed under, on this page the moment you send. Lose or win, it stays public.

Unlock today's pick in Telegram →Telegram channel: sealed picks and the record, 21+ →

or by email

Public record of the main pick, losses included: 115 won, 44 lost. See every pick

One free pick a day by email until you unsubscribe, in one click. 21+.

More Maths