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Martingale family

Martingale modes

Family

Size grows as the ladder deepens. Faster recovery, escalating capital, fat tail.

The mechanism

Each level commits more than the last, so the volume-weighted average entry falls faster than the price does. A that only retraces part of the move can therefore recover the whole ladder. The mechanism cuts both ways: exposure grows fastest exactly when the market is proving the thesis wrong.

Square-Root MartingaleΣ 10.8×Half-Slope LinearΣ 16.5×Linear MartingaleΣ 21.0×Exponential MartingaleΣ 126.0×per-level size, 6 levels, same base lot
Martingale curves against reference modes, same base lot.

Size grows deeper into — faster recovery, more capital.

The trade-off

Gain
The average entry collapses toward the deepest fill, so break-even is much closer than the suggests.
Cost
Capital grows super-linearly. Linear costs 55× base at 10 levels; exponential costs ~2046×.
Tail
The loss has a fat tail that grows with depth. This is the family that requires a .

Modes in Martingale

Cost is the size of a 10-level ladder, in base-lot units. ★ marks a practical pick.

Martingale (default)
marti_grid
Generic martingale — alias of linear martingale.
55.0×
@10
Linear Martingale
marti_grid_linear
Linear martingale: 1×, 2×, 3×, 4× — multiple TP orders per level.
55.0×
@10
Additive Martingale
marti_grid_simple
Additive martingale — add a fixed increment each level.
10.6×
@10
Exponential Martingale
marti_grid_exponential
Exponential doubling — very aggressive, fastest recovery.
2046×
@10
Fibonacci Martingale
marti_grid_fibonacci
Fibonacci scaling — natural growth, between linear and exponential.
231×
@10
Geometric Martingale
marti_grid_geometric
Geometric ratio scaling — tunable aggression via ratio r.
170×
@10
Power-Law Martingale
marti_grid_power
Power-law scaling — quadratic (or custom exponent) growth.
385×
@10
Square-Root Martingale★
marti_grid_sqrt
Gentle, decelerating accumulation.
22.5×
@10
Logarithmic Martingale
marti_grid_logarithmic
The gentlest size increase.
27.5×
@10
Half-Slope Linear
marti_grid_half
Half-speed arithmetic martingale.
37.5×
@10
Triangular Martingale
marti_grid_triangular
Triangular numbers — rapidly rising cumulative exposure.
220×
@10
Staircase Martingale
marti_grid_step
Bump size every N levels.
30.0×
@10

Choosing within the family

  • Gentle — marti_grid_logarithmic, marti_grid_sqrt, marti_grid_simple: affordable at depth, modest recovery benefit.
  • Moderate — marti_grid_half, marti_grid_step: predictable, easy to cap.
  • Full — marti_grid_linear / marti_grid: the , and the only multi-order option (level i places i orders with i targets).
  • — marti_grid_geometric, marti_grid_power: tunable curves for people fitting a specific .
  • Extreme — marti_grid_exponential, marti_grid_triangular, marti_grid_fibonacci: only with hard level caps and .
!
Caution:If you want martingale recovery you can leave running, use the capped family instead. It doubles to a ceiling and then holds, which removes the blow-up without removing most of the benefit.

Capital across the families

2046×0ladder depth (levels 1 → 10)FixedCapped LinearLinear MartingaleExponential Martingale
How cumulative capital grows with depth — the constraint that decides most mode choices.

Related

  • 1.Grid Modes — Overview — Full catalog and the selection procedure
  • 2.Capital Allocation — The mode-aware capital formula
  • 3.Stop Loss — Bounding a growth curve's tail
  • 4.Reading the Ladder Plan — Verifying a curve before deploying

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