Properties
It can be shown that for the replicator equation if a state is evolutionarily stable then it is an asymptotically stable rest point, so the evolutionarily stable states are often taken as solutions of the replicator equation. The converse is true if the game matrix is symmetric.
The concept of evolutionary stability is equivalent to the concept of strong stability for normal form games, due to Cressman.
Read more about this topic: Evolutionarily Stable State
Famous quotes containing the word properties:
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—John Locke (1632–1704)
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—Ralph Waldo Emerson (1803–1882)