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MENTAL MODEL · M13215

Evolutionary Game Theory

Evolutionary Game Theory
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Updated 2026-09-10

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INTRODUCTION

English translation pending.

CORE DEFINITION

Evolutionary game theory began by applying the mathematical theory of games to biological situations, once it was realized that frequency-dependent fitness introduces a strategic dimension into evolution; more recently it has drawn growing interest from economists, sociologists, anthropologists, and philosophers. Its central solution concept is the evolutionarily stable strategy, alongside replicator dynamics.

SCAFFOLDING EFFECT

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- Drop the rationality assumption: explain behavioral patterns through replication and elimination without assuming agents compute optima. - Test strategic stability: check whether a small invading minority can displace a practice and so judge whether it lasts. - Read the dynamics: use frequency dependence to see why the same strategy can succeed at one share and fail at another.

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Agents need no capacity for rational calculation: strategies are replicated or eliminated according to their payoffs, and the changing frequencies constitute replicator dynamics. Once an evolutionarily stable strategy is established, no small mutant minority can invade it, so stability arises from the dynamics rather than from any agent's optimal choice.

MINIMUM ACTION

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Source support: Explicit

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    plato.stanford.eduhttps://plato.stanford.edu/entries/game-evolutionary/ZH · Explicit
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