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:||Mar 2011|
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- Sylvain Barde, 2011.
"Ignorance is bliss: rationality, information and equilibrium,"
- 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," Sciences Po publications 2011-04, Sciences Po.
- Sylvain Barde, 2011. "Ignorance is bliss: rationality, information and equilibrium," Studies in Economics 1103, School of Economics, University of Kent.
- 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.
- Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
- repec:spo:wpecon:info:hdl:2441/5l6uh8ogmqildh09h56484hg0 is not listed on IDEAS
- Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
- Alexis Toda, 2010. "Existence of a statistical equilibrium for an economy with endogenous offer sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(3), pages 379-415, December.
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