Glossary

Anti-Martingale

A betting progression that increases the stake after a win and returns to base bet after a loss — the inverse of Martingale, designed to ride winning streaks while capping downside to single base-bet losses.

The Anti-Martingale (also called Paroli or Reverse Martingale) flips the standard progression logic: instead of doubling after losses to recover, you double after wins to amplify a streak. Each loss resets to the base bet, so your downside is bounded by the base stake — not by a compounding sequence.

How it works

  1. Choose a base bet and a step limit (typically 3 steps)
  2. After a win, double the next bet
  3. After a loss, or after reaching the step limit, return to base bet

Example sequence with base bet $1, 3-step limit, 2x target:

RoundBetResultBalance change
1$1Win+$1
2$2Win+$2
3$4Win+$4 → reset to $1
4$1Loss-$1
5$1Win+$1
6$2Loss-$2 → reset to $1

The key: when the streak ends in step 3, you lose $4 — but rounds 1 and 2 already produced $3 profit, so net loss is $1. The system uses winnings to fund the escalating bets.

The psychological appeal

Anti-Martingale reverses the emotional dynamic of standard Martingale. In standard Martingale, losses compound — you bet increasingly large amounts on increasingly uncertain outcomes. In Anti-Martingale, losses are always small (one base bet), and wins can stack without escalating exposure.

This aligns with the “let it ride” impulse that’s natural during a win streak — but structures it with a predefined exit point (the step limit) rather than arbitrary in-the-moment decisions.

The mathematical reality

Anti-Martingale does not change EV. The same principle applies: no betting progression can alter the underlying crash point distribution. Per bet, EV remains (RTP − 1).

What Anti-Martingale changes:

  • Downside — losses are bounded by the base bet
  • Upside distribution — rare, large gains from completed progressions
  • Variance — higher than flat betting; long periods of small losses punctuated by large gains when streaks complete

When the streak ends mid-progression

The main risk: if a streak ends at step 2 or 3, you lose the bet you funded with prior winnings. After a 3-step win ($1 → $2 → $4 → $8 bet), a loss at step 4 costs $8 — wiping the $7 of prior gains and adding a net $1 loss. The larger the step limit, the more likely a late-progression loss eliminates the accumulated profit.

This is why most Anti-Martingale systems use a 3-step limit: enough to produce meaningful wins if the streak holds, not so many that a late loss is catastrophic.

  • Martingale — the inverse system (double after losses)
  • Base Bet — the reset point after every loss
  • Variance — Anti-Martingale increases variance compared to flat betting
  • Bankroll — downside is limited to base bet per round, simplifying bankroll sizing