D'Alembert Strategy
Add one unit after losses, subtract one after wins — smoother than doubling.
Best for: Even-money betting with milder stake swings than Martingale
Overview
D'Alembert is a balanced progression popularized for even-money bets. After a loss you increase the next stake by one unit; after a win you decrease by one unit (never below the base).
The slope of risk is linear, not exponential. Drawdowns still hurt, but stake sizes climb more slowly than Martingale, which many recreational players find easier to stomach.
Equilibrium thinking (“one win cancels one loss”) ignores that losses and wins are not perfectly alternating and that the zero tilts the long-run math against the player.
Visual progression
How it works
- Define a unit size relative to bankroll (often 0.5%–1%).
- Start at one unit on an even-money outcome.
- Loss → next bet = previous + 1 unit.
- Win → next bet = previous − 1 unit (minimum one unit).
- Optional: cap the maximum step (for example 8 units) to avoid endless climb.
Sample path (unit $5)
- Bet $5 — lose → next $10
- Bet $10 — lose → next $15
- Bet $15 — win → next $10
- Bet $10 — win → next $5
- Net depends on the exact order; a win does not always erase two prior losses of different sizes.
Pros
- Gentler progression than pure doubling systems
- Simple +1 / −1 mental arithmetic at the table
- Easier to pair with table limits than Martingale
Cons
- Can still climb to uncomfortable stakes after a rough patch
- Does not guarantee recovery of prior losses
- Long-term expectation remains negative
FAQ
Is D'Alembert a 'safe' system?
It is milder than Martingale, not safe in the sense of positive expectation. Always treat it as entertainment budgeting.