LAUSR

We study the basic naming game model and the recently introduced Bayesian naming game model, in which the name learning processes are described more realistically within a Bayesian learning framework. We focus on the dynamics of the bilinguals population and show that in the Bayesian model the number of bilinguals is always lower with respect to the basic naming game model. We provide some analytical estimates of the upper bound for the number of bilinguals in both models and validate the estimate through extensive numerical simulations.