D'Alembert strategy for crash games

The D’Alembert strategy in crash games is simple: add one unit after a loss and take one unit off after a win, never going below one unit. It is a gentle progression system that pairs naturally with a 2x auto cash out in Aviator, Stake Crash or JetX. In our 1,000-session test with ₦1,000 units it finished with a median of ₦31,000 from ₦50,000, with the top 10% on ₦101,000 or more. Here’s how to run it on SportyBet, Bet9ja, BetKing or a partner crypto casino, with naira examples. More systems in our Aviator game Nigeria guide.

How the D’Alembert system works

The rule: add one unit after a loss and take one unit off after a win, never going below one unit. Here is how six rounds play out at 2x auto cash out with a ₦1,000 unit:

Round	Stake	Result	Running profit
1	₦1,000	Loss	−₦1,000
2	₦2,000	Loss	−₦3,000
3	₦3,000	Win at 2x	₦0
4	₦2,000	Loss	−₦2,000
5	₦3,000	Win at 2x	₦1,000
6	₦2,000	Win at 2x	₦3,000

The stake moves with your results, which is the whole idea: the system decides your next bet so you never have to.

D’Alembert simulator test in naira

We ran the D’Alembert system at 2x through our simulator: 1,000 sessions of up to 100 rounds, a ₦50,000 bankroll and ₦1,000 bets. The median session finished on ₦31,000, the luckiest 10% on ₦101,000 or more and the coldest 10% on ₦0 or less. 44.9% of sessions ran the bankroll below one bet. For comparison, flat ₦1,000 bets at 2x finished on a median of ₦48,000 with 0% busts. Try your own settings in the free crash game or with the simulator below.

What D’Alembert does well

• Stakes climb one unit at a time, far slower than Martingale.
• Every win pulls the stake back down, so hot streaks stay cheap.
• Easy to run in your head between rounds.

Worth knowing:

• A long cold run still builds the stake step by step.
• Wins at 2x pay the current stake, so a win after a climb only claws back part of the run.

D’Alembert vs other betting systems

System (2x, ₦50,000 bankroll)	Median finish	Top 10% finish	Bust rate
D’Alembert	₦31,000	₦101,000	44.9%
Martingale	₦46,000	₦102,000	46.5%
Anti-Martingale	₦46,000	₦72,000	1.1%
Flat betting	₦48,000	₦60,000	0%
Fibonacci	₦63,000	₦74,000	31.5%

The Aviator Martingale guide covers the doubling system, and Fibonacci strategy covers the gentler sequence. For the full ranking, read best betting system for crash games.

Best games for D’Alembert

Use it on any crash game with auto cash out at 2x: Aviator game Nigeria is the classic, Stake Crash pays 99% RTP, and JetX game Nigeria lets you run two bets at once.

Run D’Alembert in Nigeria

Write your unit size down before you start (₦1,000 is a good default on a ₦50,000 budget) and fund with OPay, PalmPay or a Paystack card. Want to play crash games with big-multiplier crypto originals and fast payouts? Compare the best crash game casinos in Nigeria, or jump straight into Stake Crash.

Pro tip: set a session cap of 100 rounds and a stop at +20%; D’Alembert is at its best in short, planned sessions.