Joint work of Anand Sahasranaman and Henrik Jeldtoft Jensen
We use a generalisation of the Schelling model. Agents move to neighbourhoods where their wealth is not lesser than that of some proportion of their neighbours, the threshold level. However, introducing uncertainty into the decision to move - that is, with some probability, if agents are allowed to move even though the threshold level condition is contravened - we find that even for small proportions of such disallowed moves, the dynamics no longer yield segregation but instead sharply transition into a persistent mixed wealth distribution.
We further develop tour model to allow for the influx of new comers to the city (United Nations predicting that the share of urban population could rise to 66% by 2050) and study the interplay between wealth segregation and ethnic based segregation.
Dynamics of transformation from segregation to mixed wealth cities.
Anand Sahasranaman and Henrik Jeldtoft Jensen. PLoS One 11(11): e0166960 (2016).
Cooperative dynamics of neighborhood economic status in cities.
Anand Sahasranaman and Henrik Jeldtoft Jensen.
PLoS One 12(8): e0183468 (2017).
Ethnicity and wealth: The dynamics of dual segregation.
Anand Sahasranaman and Henrik Jeldtoft Jensen. https://arxiv.org/abs/1710.04372.