Cognitive Scaffold

Preparing your thinking workspace

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MENTAL MODEL · M4493

Martingale Strategy

Martingale Strategy
TechnicalHigh supportProbability Theory
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Updated 2026-08-02

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INTRODUCTION

English translation pending.

CORE DEFINITION

The martingale is a betting strategy that doubles the wager after each loss, so that a single win recovers all prior losses plus the original stake. Its mathematics require two conditions that never hold in practice: unlimited capital and no table limit. Because losses compound geometrically while gains stay linear, any finite bankroll eventually meets a run long enough to exhaust it. The model is best read as a demonstration of tail risk rather than a usable method.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

- Expose tail risk: show how a long losing streak multiplies stakes until any finite bankroll is exhausted - Reject doubling down: refuse to increase exposure to recover a loss unless resources are truly unlimited - Price the ruin: estimate the streak length that would wipe out your capital before adopting any similar plan

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Anchor fast decisions

Doubling after each loss makes a single later win cover every accumulated loss plus one unit. The arithmetic works only if capital is infinite and no bet limit applies; with a finite bankroll, a modest losing streak drives the required stake up exponentially until the funds run out, so the strategy converts many small wins into one catastrophic loss.

MINIMUM ACTION

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Source support: Explicit

  • link
    en.wikipedia.orghttps://en.wikipedia.org/wiki/Martingale_(betting_systemZH · Explicit
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