Back to the Future: A Simple Solution to Schelling Segregation
The maximum entropy methodology is applied to the Schelling model of urban segregation in order to obtain a reliable prediction of the stable configuration of the system without resorting to numerical simulations. We show that this approach also provides an implicit equation describing the distribution of agents over a city which allows for directly assessing the effect of model parameters on the solution. Finally, we discuss the information theoretic motivation for applying this methodology to the Schelling model, and show that it effectively rests on the presence of a potential function, suggesting a broader applicability of the methodology.
|Date of creation:||Sep 2011|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.ersa.org
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Sebastian Grauwin & Florence Goffette-Nagot & Pablo Jensen, 2009.
"Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination,"
0914, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
- Florence Goffette-Nagot & Pablo Jensen & Sébastian Grauwin, 2009. "Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination," Post-Print halshs-00404400, HAL.
- Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
- Sylvain Barde, 2011.
"Ignorance is bliss: rationality, information and equilibrium,"
Documents de Travail de l'OFCE
2011-04, Observatoire Francais des Conjonctures Economiques (OFCE).
- Sylvain Barde, 2011. "Ignorance is bliss: rationality, information and equilibrium," Studies in Economics 1103, School of Economics, University of Kent.
- Sylvain Barde, 2011. "Ignorance is bliss: rationality, information and equilibrium," Sciences Po publications 2011-04, Sciences Po.
- Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
- Alexis Toda, 2010. "Existence of a statistical equilibrium for an economy with endogenous offer sets," Economic Theory, Springer, vol. 45(3), pages 379-415, December.
When requesting a correction, please mention this item's handle: RePEc:wiw:wiwrsa:ersa11p862. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier)
If references are entirely missing, you can add them using this form.