ABSTRACT
The replicator dynamics considers evolution using a fixed set of strategies and only allows the frequencies of existing strategies to change. It is not possible for new strategies to emerge. There is thus selection between the competing strategies in the population following the replicator equation, but there is no mutation. So we see that one of the key elements of evolution is missing, and such a population could not necessarily reach an ESS if the initial mixture of strategies would not allow it, nor hope to adapt to a changing environment.
