D'Alembert vs Martingale: which wins in crash games?
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D’Alembert vs Martingale: Martingale wins on the typical session, D’Alembert busts less often. D’Alembert says add one unit after a loss and take one unit off after a win, never going below one unit; Martingale says double your stake after every loss and go back to one unit after a win. In our 1,000-session test at 2x auto cash out with GH₵20 units and a GH₵1,000 bankroll, D’Alembert finished on a median of GH₵620 (44.9% busts) and Martingale on GH₵920 (46.5% busts). Here is the full comparison for Ghanaian players. Both are part of our crash game strategy guide.
D’Alembert vs Martingale: the rules
- D’Alembert: add one unit after a loss and take one unit off after a win, never going below one unit.
- Martingale: double your stake after every loss and go back to one unit after a win.
Both are negative progressions: they raise the stake after losses to win it back. The difference is how fast the stake grows.
How fast the stakes climb
After a run of losses at 2x, your next stake is:
| Losses in a row | D’Alembert next stake | Martingale next stake |
|---|---|---|
| 3 | GH₵80 | GH₵160 |
| 5 | GH₵120 | GH₵640 |
| 7 | GH₵160 | GH₵2,560 |
That growth rate decides everything. Our Martingale strategy crash guide explains why doubling recovers fastest and why it needs the deepest bankroll.
Simulator results side by side
| System (2x, GH₵1,000 bankroll) | Median finish | Top 10% finish | Coldest 10% | Bust rate |
|---|---|---|---|---|
| D’Alembert | GH₵620 | GH₵2,020 | GH₵0 | 44.9% |
| Martingale | GH₵920 | GH₵2,040 | GH₵0 | 46.5% |
Run both yourself with the simulator below, or practise in our free crash game. For the gentler sequence on its own, see dalembert strategy.
Which one should you pick?
- Pick Martingale if you want the stronger typical session.
- Pick D’Alembert if surviving 100 rounds matters most.
- Pick neither if you want zero bust risk: flat betting strategy kept every test session alive.
The best betting system for crash games guide ranks every system we tested.
Play it on Aviator in Ghana
Both systems run on SportyBet Aviator Ghana with a 2x auto cash out. Fund with MTN MoMo, Telecel Cash or AT Money and see our SportyBet Aviator Ghana guide for the buttons. Want to play crash games with big-multiplier crypto originals and fast payouts? Compare the best crash game casinos in Ghana, or jump straight into Stake Crash.
Pro tip: whichever system you choose, write the stake sequence on paper before you start so you never improvise mid-run.
Strategy simulator
- Median final bankroll
- Unlucky (10th percentile)
- Lucky (90th percentile)
- Chance of going bust
- Median max drawdown
- Average rounds played
Example: 1000 sessions of 100 rounds, bankroll GH₵1,000, base bet GH₵20, target 2x, 3% edge
| Strategy | Median final bankroll | Unlucky (10th percentile) | Lucky (90th percentile) | Chance of going bust |
|---|---|---|---|---|
| D'Alembert | GH₵620 | GH₵0 | GH₵2,020 | 44.9% |
| Fixed bet | GH₵960 | GH₵720 | GH₵1,200 | 0.0% |
Run it a few times with different settings to find the approach that fits your bankroll and playing style.
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Frequently asked questions
Is D'Alembert better than Martingale?
In our 2x test D'Alembert had a median of GH₵620 and Martingale GH₵920; D'Alembert busted less often.
Which is safer, D'Alembert or Martingale?
D'Alembert: 44.9% busts against 46.5% over 100 rounds.
Can I use D'Alembert and Martingale in Aviator?
Yes. Both work with a 2x auto cash out; you change the stake between rounds.
Does any betting system beat the RTP?
No. Systems change the shape of your results, not the 97% RTP.
What bankroll do I need?
At least 50 units, for example GH₵1,000 with GH₵20 units.
By Daniel Foster · Crash Game Maths & Mechanics Analyst
Daniel focuses on the mathematics and mechanics behind crash games. His reviews examine RTP disclosures, volatility, multipliers, game mechanics and the mathematical principles behind different crash titles.
Fact-checked by Alex Morgan
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