Mathematical Formulation
Evolutionarily stable states are frequently used to identify solutions to the replicator equation, given in its linear payoff form by
The state is said to be evolutionarily stable if for all in some neighborhood of
This is similar but distinct from the concept of an evolutionarily stable strategy.
Read more about this topic: Evolutionarily Stable State
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“All science requires mathematics. The knowledge of mathematical things is almost innate in us.... This is the easiest of sciences, a fact which is obvious in that no one’s brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.”
—Roger Bacon (c. 1214–c. 1294)
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The formulation was used as a motto by the English Nonconformist clergyman Richard Baxter (1615-1691)