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Staking without going broke

A method with a real edge and stakes that are too large still ends at zero. Staking decides whether the edge ever gets a chance to arrive.

BAI8 ResearchResearch desk
2 min read

Two people use the same method, find the same bets at the same prices, and one of them ends the year up and the other ends it at zero. The difference is not selection. It is how much they put on.

Why the arithmetic is unforgiving

A bankroll that loses 50% needs to gain 100% to recover. That asymmetry is the whole problem. Losses compound against you faster than gains compound for you, so the cost of a bad run is not proportional to its length, it accelerates.

Now recall what variance does to a good bet: a method winning 53% at even money will still produce runs of eight and nine losses inside a normal year. Stake 10% of the bankroll per bet and a run of nine takes you down more than 60%. The method was never wrong. The staking was.

The floor nobody can lower

Risk of ruin does not go to zero as the edge grows. It falls, but as long as stakes are a fixed fraction and the edge is finite there is always a sequence of results that ends the account. The only lever that meaningfully controls it is size.

This is why a stated edge should make you more careful rather than less. An estimated 6% edge that is really 1% still makes money slowly; the same estimate staked as though it were certain does not.

Where uncertainty belongs

Every edge published here is an estimate with error around it, and the honest response to error is to stake as though the true edge is smaller than the central figure. That is not pessimism, it is what the asymmetry above demands: the cost of overstaking a small edge is far larger than the cost of understaking a big one.

What this does not tell you

No staking scheme creates an edge. Applied to bets with negative expectation, careful staking makes you lose more slowly and does not make you win. Staking is a way of surviving long enough for an edge to matter, and if there is no edge it is a way of surviving to lose.

Common questions

What is a sensible stake size?

Small enough that a run of losses you should expect does not end you. For most people that means low single-digit percentages of the bankroll, and for anybody uncertain about their edge it means less.

Does a bigger edge justify a bigger stake?

Yes, in proportion, but only if the edge is real. Staking up on an estimated edge that turns out to be zero loses money faster than staking flat would.

What is risk of ruin?

The probability that a run of losses takes the bankroll to zero before the edge has time to show. It rises very steeply with stake size and is the reason staking matters at all.

Sources

  1. Gambler's ruinen.wikipedia.org
  2. Kelly criterionen.wikipedia.org
  • staking
  • bankroll
  • variance
  • ruin

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