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Anti-Martingale family

Anti-Martingale modes

Family

Size shrinks as the ladder deepens. Capital protection first, recovery second.

The mechanism

Each level commits less than the last, so a sustained adverse trend is cheap to sit through — the deepest, most-wrong are also the smallest. The trade-off is : because there is little size down there, deep levels barely move the average entry, so recovery from a deep is slow.

Exponential DecayΣ 1.0×Square-Root DecayΣ 3.0×Logarithmic DecayΣ 2.6×FixedΣ 6.0×per-level size, 6 levels, same base lot
Anti-Martingale curves against reference modes, same base lot.

Size shrinks deeper into — capital protection first.

The trade-off

Gain
Bounded, often converging capital. Extra depth is nearly free, so ladders can be very deep.
Cost
Weak averaging. A recovers proportionally less of the ladder.
Floor
The engine floors every rung at one lot, so past a certain depth the executed size flattens where the keeps falling.

Modes in Anti-Martingale

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

Anti-Martingale
anti_marti_grid
Linear-inverse anti-martingale — shrink size with depth.
2.0×
@10
Exponential Decay
anti_marti_exponential
Halve size each level — very conservative.
1.0×
@10
Square-Root Decay
anti_marti_sqrt
Gentle, slow size reduction.
4.3×
@10
Linear Subtractive
anti_marti_linear
Remove a fixed amount each level.
9.4×
@10
Geometric Decay
anti_marti_geometric
Tunable shrink rate via ratio r.
2.0×
@10
Inverse Fibonacci
anti_marti_fibonacci
Natural, accelerating taper.
2.3×
@10
Logarithmic Decay
anti_marti_logarithmic
Very slow, shallow taper.
3.8×
@10
Half-Slope Inverse
anti_marti_half
Gentle harmonic-style decay.
3.2×
@10

Choosing within the family

  • protection — anti_marti_exponential: halves each level, total under 2× base.
  • Balanced — anti_marti_sqrt, anti_marti_half: meaningful size a few levels down.
  • Near- — anti_marti_logarithmic: barely decays; use when you want a slight bias only.
  • Tunable — anti_marti_geometric: dial the decay rate directly with r.
ℹ
Note:This is the family when you believe the trends. It converts "the grid keeps averaging into a decline" from a catastrophe into a rounding error.

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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