MENTAL MODEL · M11713

Fat Tails / Power Laws

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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

Unlike the normal distribution (bell curve, where extreme events almost never occur), in complex systems (finance, war, epidemics), extreme events (black swans) occur with much higher probability than we expect, and their impact is devastating. - Core thinking: extreme-value-dominated thinking. This meta-architecture overturns the concept of 'average'. It tells you: do not expose yourself to a catastrophic risk (steamroller) for the sake of frequent small gains (picking up coins). The world is shaped by that 1% of extreme events.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Fat-tailed distribution is a probability distribution model. It is a heavy-tailed distribution with extremely large skewness or kurtosis. Compared to the ubiquitous normal distribution, which is a thin-tailed or exponential distribution, fat-tailed distributions have a higher probability of extreme events.

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Anchor fast decisions

The tail of a fat-tailed distribution (power law/stable distribution) decays much slower than that of a normal distribution, so the probability of extreme values is significantly higher; the mean and variance (if infinite variance) lose representativeness, and a few extreme values dominate the overall outcome.

MINIMUM ACTION

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Practice this model in one real situation:

For complex systems such as finance, war, and epidemics, abandon 'average thinking'
use tail risk measures (VaR, expected shortfall) to quantify extremes
control exposure, and reserve buffers and hedges for extreme events.

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Source support: Explicit

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zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E8%82%A5%E5%B0%BE%E5%88%86%E5%B8%83ZH · Explicit
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