 In the case of the replicator dynamics, it is immediately apparent that the replicator dynamics need not converge to an evolutionarily stable state. This is because, as noted previously, the replicator dynamics cannot introduce strategies into the population if they are initially absent. Hence, if an evolutionarily stable state requires certain pure strategies to be present, and those pure strategies do not appear in the initial population state, then the replicator dynamics will not converge to the evolutionarily stable state.