Centuries of clever staking plans, one unavoidable conclusion.
Fibonacci, D'Alembert, Labouchere: a field guide to betting progressions
The short answer
Every progression rearranges risk — none of them removes it. They differ in how politely they take your money: gentle systems lose slowly, aggressive ones lose memorably.
In this article
Since the 1700s, gamblers have produced staking systems the way philosophers produced proofs — elegant, confident, and built on the same missing premise: that a past result changes the next one. Here's the field guide to the famous ones.
Illustrative example
| System | The rule | What it feels like | How it ends |
|---|---|---|---|
| Martingale | Double after every loss | Constant small wins | One catastrophic sequence |
| Fibonacci | Move up the sequence on losses, back two on wins | Martingale with manners | Slower version of the same cliff |
| D'Alembert | +1 unit on loss, −1 on win | Gentle, civilized, almost soothing | Slow bleed — politeness isn't an edge |
| Labouchere | Cross numbers off a list of stakes | Accounting with stakes | The list always outlives the bankroll |
| Paroli (reverse) | Double on wins, reset on losses | Riding hot streaks | Concentrates wins — same edge, better stories |
| Flat betting | Same stake every time | Boring | The honest baseline every system is compared to |
The shared flaw
Every progression is a bet-sizing story told to a game that isn't listening. Expected loss stays exactly edge × total wagered — the systems just choose which shape of variance delivers it. Negative progressions (Martingale, Fibonacci) make frequent small wins and rare wipeouts; positive ones (Paroli) make frequent small losses and rare big scores. Same product, different packaging. The genuinely useful version isn't a progression at all: flat stake, fixed stop-loss, fixed session — a system whose losses are budgeted, not disguised.
The flagship autopsy is Martingale; the psychology underneath lives in gambler's fallacy; and the boring system that outperforms all of them is bankroll rules.
