Attractors, statistics and fluctuations of the dynamics of the Schelling’s model for social segregation

Eric Goles y Sergio Rica

In the early seventies Schelling considered the problem of social segregation as a consequence of a natural evolution of elementary local rules [1–3]. Perhaps the most striking feature of the model is that, despite the simplicity and the locality of the rules, there exists an emergence of a large scale pattern of segregation. A simplified version of Schelling’s original model possesses two distinct kinds of individuals and it describes the willingness of an individual to stay or to move from his/her place of residence. The basic rules are: if an individual is surrounded by a majority of individuals of the opposite kind, then we say, that the individual is “unhappy” in his/her residence, hence he/she is willing to change with an individual of the opposite kind which must be also “unhappy”.