Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination
In his 1971's Dynamic Models of Segregation paper, the economist Thomas C. Schelling showed that a small preference for one's neighbors to be of the same color could lead to total segregation, even if total segregation does not correspond to individual preferences and to a residential conﬁguration maximizing the collective utility. The present work is aimed at deepening the understanding of the properties of dynamic models of segregation based on Schelling's hypotheses. Its main contributions are (i) to offer a comprehensive and up-to-date review of this family of models ; (ii) to provide an analytical solution to the most general form of this model under rather general assumptions ; to the best of our knowledge, such a solution did not exist so far ; (iii) to analyse the effect of two devices aimed at decreasing segregation in such a model. Chapter one summarizes the ingredients of Schelling's models. We show how the choices of the agent's utility function, of the neighborhood description and of the dynamical rule can impact the outcome of a model. Based on the observation of simulations' results, we ﬁnd that the neighborhood description does not have a qualitative impact. As regards the dynamical rules, we show that the Logit Behavioral rule introduced in this literature by Young (1998) ; Zhang (2004b) presents several advantages relatively to the Best Response rule. Chapter two presents a general analytical solution to the model. To that aim, Schelling's model is recasted within the framework of evolutionary game theory, as previously done by Young (1998) ; Zhang (2004b). This allows to deﬁne sufficient assumptions regarding agents' utility functions that permit predicting the ﬁnal state of the system starting from any conﬁguration. This analytical resolution is then used to consider the outcomes of Schelling's utility function and of other utility functions previously used in this context. Chapter three examines the effects of introducing coordination in the moving decisions. This coordination is achieved through two different ways. We ﬁrst impose different levels of taxes proportional to the externality generated by each move of the agents. It is shown that even a low level of tax is sufficient under certain circumstances to signiﬁcantly reduce segregation. We then investigate the effect of the introduction of a local coordination by vote of co-proprietors, who are deﬁned as the closest neighbors of each agent. It is shown that even a small amount of coordination can break segregation.
|Date of creation:||2009|
|Publication status:||Published in Working Paper GATE 2009-14. 2009|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00404400|
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- Fagiolo, Giorgio & Valente, Marco & Vriend, Nicolaas J., 2007.
"Segregation in networks,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 64(3-4), pages 316-336.
- Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," LEM Papers Series 2005/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," Working Papers of BETA 2005-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," Working Papers 549, Queen Mary University of London, School of Economics and Finance.
- David Card & Alexandre Mas & Jesse Rothstein, 2008.
"Tipping and the Dynamics of Segregation,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 123(1), pages 177-218.
- W. Clark, 1991. "Residential preferences and neighborhood racial segregation: A test of the schelling segregation model," Demography, Springer;Population Association of America (PAA), vol. 28(1), pages 1-19, February.
- Pancs, Romans & Vriend, Nicolaas J., 2007.
"Schelling's spatial proximity model of segregation revisited,"
Journal of Public Economics,
Elsevier, vol. 91(1-2), pages 1-24, February.
- Romans Pancs & Nicolaas J. Vriend, 2003. "Schelling's Spatial Proximity Model of Segregation Revisited," Computing in Economics and Finance 2003 63, Society for Computational Economics.
- Romans Pancs & Nicolaas J. Vriend, . "Schelling's Spatial Proximity Model of Segregation Revisited," Modeling, Computing, and Mastering Complexity 2003 15, Society for Computational Economics.
- Romans Pancs & Nicolaas J. Vriend, 2003. "Schelling's Spatial Proximity Model of Segregation Revisited," Working Papers 487, Queen Mary University of London, School of Economics and Finance.
- Zhang, Junfu, 2004. "Residential segregation in an all-integrationist world," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 533-550, August.
- William Clark, 1992. "Residential preferences and residential choices in a multiethnic context," Demography, Springer;Population Association of America (PAA), vol. 29(3), pages 451-466, August.
- David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 2005.
"Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation,"
Harvard Institute of Economic Research Working Papers
2071, Harvard - Institute of Economic Research.
- David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 2008. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 478-497, August.
- David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 2005. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," NBER Working Papers 11295, National Bureau of Economic Research, Inc.
- Vigdor, Jacob L. & Glaeser, Edward & Cutler, David, 2008. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," Scholarly Articles 2664275, Harvard University Department of Economics.
- David Cutler & Edward Glaeser & Jacob Vigdor, 2004. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," Working Papers 04-10, Center for Economic Studies, U.S. Census Bureau.
- Carrington, William J & Troske, Kenneth R, 1997. "On Measuring Segregation in Samples with Small Units," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 402-09, October.
- Jason Barr & Troy Tassier, 2007.
"Segregation and Strategic Neighborhood Interaction,"
Working Papers Rutgers University, Newark
2007-001, Department of Economics, Rutgers University, Newark.
- Jason M Barr & Troy Tassier, 2008. "Segregation and Strategic Neighborhood Interaction," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 34(4), pages 480-503.
- Joshua M. Epstein & Robert L. Axtell, 1996. "Growing Artificial Societies: Social Science from the Bottom Up," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262550253, March.
- Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416-416.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
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