A formulation of bit-string models of language evolution, based ondifferential equations for the population speaking each language, is introducedand preliminarily studied. Connections with replicator dynamics and diffusionprocesses are pointed out. The stability of the dominance state, where most ofthe population speaks a single language, is analyzed within a mean-field-likeapproximation, while the homogeneous state, where the population is evenlydistributed among languages, can be exactly studied. This analysis disclosesthe existence of a bistability region, where dominance coexists withhomogeneity as possible asymptotic states. Numerical resolution of thedifferential system validates these findings.
展开▼
