Schelling-voter model: An application to language competition

Abstract

In this work we analyze the language competition problem by using an interacting agent-based model which interpolates the classical Schelling and Voter models. Briefly, an agent may change its place of residence or his language when he is surrounded by more individuals of the other kind than the ones he can tolerate. We analyze this dynamic process in terms of the free space to move in, the pressure to change the language, and the propensity to change location. We identify the different regimes and the relationship with the language competition problem.