Cognitive Scaffold

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MENTAL MODEL · M5058

Separating Equilibrium

Separating Equilibrium
DecideHigh supportGame Theory
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Updated 2026-08-03

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INTRODUCTION

English translation pending.

CORE DEFINITION

Separating equilibrium is the counterpart to pooling equilibrium in signaling games. Different types of players choose different behaviors, so an observer can read the signal and tell them apart. The condition that sustains it is asymmetric cost: sending the high type's signal must be cheap enough for the genuinely strong to send yet prohibitively expensive for the weak to imitate. A famously hard interview question or a costly credential works this way. When the cost structure is right, the signal sorts the population without anyone needing to be trusted.

SCAFFOLDING EFFECT

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Reduce cognitive load

- Cost asymmetry design: Set the signal's difficulty so the strong can clear it and the weak cannot afford to fake it. - Sort check: Verify that the low type genuinely loses by mimicking, not merely that the signal is hard. - Trust bypass: Use the costly signal in place of trust where character cannot be verified directly.

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Anchor fast decisions

The strong player can bear a cost the weak one cannot, so when the signal is priced between those two levels, imitation becomes a losing strategy for the weak. They prefer to send the cheap signal and reveal their type honestly rather than pay to blend in. The observer therefore learns the type from the choice itself, and no mutual trust is required, because the sorting is produced by the cost structure rather than by anyone's word.

MINIMUM ACTION

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Source support: Explicit

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