MENTAL MODEL · M7826

Convexity Thinking

DecidemediumDecision Science

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Updated 2026-08-10

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INTRODUCTION

English translation pending.

CORE DEFINITION

Convexity describes a payoff structure where gains are unbounded and losses have a floor; concavity is the reverse, with limited gains and unbounded losses. As the core of Nassim Taleb's antifragility, the key condition is that the downside must stay strictly bounded, so repeated small losses remain survivable while rare large wins dominate the long-run result.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

- Bet asymmetry: rank options by payoff shape, favoring capped downside with open-ended upside. - Barbell strategy: pair very safe holdings with many small convexive bets rather than middling risks. - Avoid concavity: steer clear of short-selling, insurance underwriting, and heavy leverage.

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Anchor fast decisions

Convexity is a payoff geometry, not a label for risk-taking. Because the downside is bounded, each small loss is survivable, while a single large gain more than offsets a long string of losses; across many trials the expected value compounds in your favor.

MINIMUM ACTION

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Practice this model in one real situation:

Map each option's risk-reward distribution and check whether it is asymmetric. 2. Prefer bets whose upside is unbounded and whose downside is strictly limited. 3. Take many small positions so occasional large wins cover repeated small losses. 4. Avoid concave exposures such as short-selling and high leverage.

Check to track your progress (stored locally)

Learning progress0%

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Source support: Explicit

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en.wikipedia.orghttps://en.wikipedia.org/wiki/AntifragilityZH · Explicit
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