What is evolutionary stable strategy (ESS)?

Updated May 16, 2026

Short answer

An ESS is a strategy that cannot be invaded by any alternative strategy in a population.

Deep explanation

In evolutionary game theory, a strategy is stable if, once it dominates a population, no mutant strategy can outperform it. ESS refines Nash equilibrium by adding stability under perturbations.

Real-world example

Used in biology to model animal behavior survival strategies.

Common mistakes

  • Confusing ESS with Nash equilibrium
  • not all Nash equilibria are stable.

Follow-up questions

  • What is invasion fitness?
  • Is every ESS a Nash equilibrium?

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