The language acquisition period in humans lasts about 13 years. After puber
ty it becomes increasingly difficult to learn a language. We explain this p
henomenon by using an evolutionary framework. We present a dynamical system
describing competition between language acquisition devices, which differ
in the length of the learning period. There are two selective forces: that
play a role in determining the critical learning period: (i) having a longe
r learning period increases the accuracy of language acquisition; (ii) lear
ning is associated with certain costs that affect fitness. As a result, the
re exists a limited learning period which is evolutionarily stable. This re
sult is obtained analytically by means of a Nash equilibrium analysis of la
nguage acquisition devices. Interestingly the evolutionarily stable learnin
g period does not maximize the average fitness of the population.