Schelling, Residential Segregation Model

Schelling[11,12,13]introduced a seminal model of the dynamics of residential segregation. In this model ,there are two kinds agents and each agent chooses to move or to stay depending on his neiborhood configuration.Each agent looks for a position where he becomes happy because in it his neighborhood configuration is admissible.Schelling shows that strongly segregated large-scale residential patterns can arise even when two gruops are relatively tolerant of one another's presence, while his aproach clearly has methodologial advantages in the dynamics of residential segregation,Schelling's model has never been rigorously analyzed.[15]analyze a variant of Schelling segregation model as s dynamical system and explain why the limiting behavior of the non-locally determined lattic system exhabits a number of pronounced geometric characteristics.But some conclutions are not exact in [15]. In this paper ,we correct those inaccurate conclution and give the rigorous proof.