Negative Progression

Negative-progression betting systems increase the stake after a loss, on the premise that a single eventual win will recover the accumulated deficit and return a small profit. The family includes the Martingale, which doubles the stake after each loss, and the Fibonacci, which steps the stake up according to the Fibonacci sequence. They are most commonly applied to even-money casino bets. Worked example: under a Fibonacci progression with a 10 base unit, the stake sequence on consecutive losses runs 10, 10, 20, 30, 50, 80, 130, 210 and so on, each bet being the sum of the two before it. After eight losses the player is staking 210 to chase back a deficit that has grown to 320, and the stakes keep climbing. As with the Martingale, two hard ceilings eventually intervene: the table maximum and the size of the bankroll. When either is reached during a losing run, the system cannot continue and the loss is locked in at its largest. Why it matters: negative progressions can look successful over short samples because most sessions end before a long losing streak occurs, which gives a false sense of reliability. Mathematically, however, they cannot overcome the house edge — no staking pattern changes the negative expected value of the underlying bets; they merely redistribute outcomes into many small wins and rare, severe losses. The common and costly mistake is trusting that a win must come soon, which is the gambler's fallacy. From a responsible-gambling standpoint these systems are best avoided. See also martingale, house edge and gambler's fallacy.