Martingale Staking Plan
Overview
The most infamous negative progression system: double your stake after every loss. The theory: when you eventually win, you recover all previous losses plus one unit of profit. In practice, it’s extremely dangerous — losing streaks cause exponential stake growth and will exhaust any finite bankroll.
How It Works
- Start with 1 unit
- Loss: Double the stake for the next bet
- Win: Reset to 1 unit
- After any win, you are exactly +1 unit for that cycle
Example: £10 → lose → £20 → lose → £40 → lose → £80 → win (+£80). Net: −£10 −£20 −£40 +£80 = +£10 (1 unit profit).
Formula
\[S_{i+1} = \begin{cases} 2 \times S_i & \text{if loss} \\ S_0 & \text{if win} \end{cases}\]After $n$ consecutive losses, stake = $S_0 \times 2^n$
Parameters
| Parameter | Type | Default | Description |
|---|---|---|---|
base_unit |
number | 1 | Starting stake |
max_steps |
number | — | Optional cap on doublings (recommended) |
Risk Assessment
- Risk Level: Very High
- Max Drawdown: Exponential — 10 consecutive losses requires 1,024× base unit
- Recommended Bankroll: 1,000+ units (to survive 9 consecutive losses)
- Ruin Risk: Very high — finite bankroll + infinite doubling = eventual ruin
The Mathematics of Ruin
| Consecutive Losses | Stake (units) | Cumulative Loss |
|---|---|---|
| 1 | 2 | 1 |
| 2 | 4 | 3 |
| 3 | 8 | 7 |
| 4 | 16 | 15 |
| 5 | 32 | 31 |
| 6 | 64 | 63 |
| 7 | 128 | 127 |
| 8 | 256 | 255 |
| 9 | 512 | 511 |
| 10 | 1,024 | 1,023 |
At 10 consecutive losses (not rare in betting), you need over 1,000× your base unit just to place the next bet.
⚠️ Critical Warning
Martingale is mathematically guaranteed to fail given:
- A finite bankroll
- A maximum bet limit (Betfair has one)
- An unbounded number of bets
The only way Martingale “works” is with infinite wealth and no bet limits — neither exists. Every professional betting resource advises against it.
When to Use
- Almost never. The one legitimate context: very short-term, tightly stop-lossed sequences where you fully understand and accept the risk.
When to Avoid
- Always, unless you have a specific, bounded strategy and enormous bankroll relative to base unit
- Lay betting (liability compounds even faster)
- Any serious long-term betting
Betfair Exchange Notes
- Betfair has maximum liability limits — you will hit them during a Martingale sequence
- For lay Martingale, doubling liability is even more dangerous than doubling stake
- Commission means the “1 unit profit” per cycle is actually less than 1 unit
Related Plans
- Fibonacci — Slower negative progression (Fibonacci sequence)
- D’Alembert — Linear progression (much safer)
- Incremental Loss Recovery — Controlled linear recovery
- Recovery — Targets specific loss recovery rather than arbitrary doubling
Sources
- Plan catalog reference: The Staking Machine — staking plan software with 50+ plans
- Plan mechanics: Mathematical formulas and plan concepts are in the public domain