We explore how evolutionary game dynamics have to be modified to accomodate
a mathematical framework for the evolution of language. In particular, we
are interested in the evolution of vocabulary, that is associations between
signals and objects. We assume that successful communication contributes t
o biological fitness: individuals who communicate well leave more offspring
. Children inherit from their parents a strategy for language learning (a l
anguage acquisition device). We consider three mechanisms whereby language
is passed from one generation to the next: (i) parental learning: children
learn the language of their parents; (ii) role model learning: children lea
rn the language of individuals with a high payoff; and (iii) random learnin
g: children learn the language of randomly chosen individuals. We show that
parental and role model learning outperform random learning. Then we intro
duce mistakes in language learning; and study how this process changes lang
uage over time. Mistakes increase the overall efficacy of parental and role
model learning: in a world with errors evolutionary adaptation is more eff
icient. Our model also provides a simple explanation why homonomy is common
while synonymy is rare. (C) 1999 Academic Press.