Dynamical systems of self-organized segregation

Heinz Hanßmann and Angelina Momin

The Journal of Mathematical Sociology, 2024, vol. 48, issue 3, 279-310

Abstract: We re-consider Schelling’s (1971) bounded neighborhood model as put into the form of a dynamical system by Haw and Hogan (2018). The aim is to determine how tolerance can prevent (or lead to) segregation. In the case of a single neighborhood, we explain the occurring bifurcation set, thereby correcting a scaling error. In the case of two neighborhoods, we correct a major error and derive a dynamical system that does satisfy the modeling assumptions made by Haw and Hogan (2020), staying as close as possible to their construction. We find that stable integration is then only possible if the populations in the two neighborhoods have the option to be in neither neighborhood. In the absence of direct movement between the neighborhoods, the problem is furthermore equivalent to independent single neighborhood problems.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/0022250X.2023.2271766 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:gmasxx:v:48:y:2024:i:3:p:279-310

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/gmas20

DOI: 10.1080/0022250X.2023.2271766

Access Statistics for this article

The Journal of Mathematical Sociology is currently edited by Noah Friedkin

More articles in The Journal of Mathematical Sociology from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().