A dynamic model of residential segregation. (English) Zbl 1101.91311

Summary: Using dimes and pennies on a checkerboard, T. C. Schelling [J. Math. Sociol. 1, 143–186 (1971; Zbl 1355.91061); Micromotives and microbehavior, New York, NY: Norton (1978)] studied the link between residential preferences and segregational neighborhood patterns. While his approach clearly has methodological advantages in studying the dynamics of residential segregation, Schelling’s checkerboard model has never been rigorously analyzed. We propose an extension of the Schelling model that incorporates economic variables. Using techniques recently developed in stochastic evolutionary game theory, we mathematically characterize the model’s long-term dynamics.


91A22 Evolutionary games
91D25 Spatial models in sociology
91B62 Economic growth models


Zbl 1355.91061
Full Text: DOI


[1] Blanchflower D., The Wage Curve (1994)
[2] DOI: 10.2307/1885333
[3] DOI: 10.1006/game.1993.1023 · Zbl 0797.90123
[4] Blume L. E., In The Economy as an Evolving Complex System II (1997)
[5] DOI: 10.2307/2580385
[6] Brock W. A., ”Interaction Based Models.” SSIR Working Paper 9910 (1999)
[7] DOI: 10.1016/0094-1190(92)90006-7
[8] Clark T. A., In The New Suburbanites: Race and Housing in the Suburbs (1981)
[9] Connolly H. X., In Suburbanization Dynamics and the Future of the City (1974)
[10] DOI: 10.1162/003355397555361
[11] DOI: 10.1086/250069
[12] Duncan O. D., The Negro Population of Chicago (1957)
[13] Epstein J. M., Growing Artificial Societies: Social Science from the Bottom Up (1996)
[14] DOI: 10.1016/0049-089X(78)90017-0
[15] Farley R., Housing Policy Debate 8 pp 763– (1997)
[16] DOI: 10.2307/2096131
[17] DOI: 10.1016/0040-5809(90)90011-J · Zbl 0703.92015
[18] Karlin S., A First Course in Stochastic Processes (1975) · Zbl 0315.60016
[19] DOI: 10.1006/jhec.1996.0008
[20] DOI: 10.1086/260060
[21] DOI: 10.2307/2094723
[22] Massey D. S., American Apartheid: Segregation and the Making of the Underclass (1993)
[23] McFadden D., Frontier in Econometrics (1973)
[24] DOI: 10.1006/game.1996.0044 · Zbl 0862.90137
[25] DOI: 10.1007/BF02895741
[26] Rosen K. T., American Economic Review 73 pp 779– (1983)
[27] DOI: 10.1080/0022250X.1971.9989794 · Zbl 1355.91061
[28] Schelling T. C., Micromotives and Macrobehavior (1978)
[29] Taeubar K. E., Negroes in Cities: Residential Segregation and Neighborhood Change (1965)
[30] Weaver R. C., The Negro Ghetto (1948)
[31] DOI: 10.2307/3146233
[32] Young H. P., Individual Strategy and Social Structure: An Evolutionary Theory of Institutions (1998)
[33] Zhang J., An Evolutionary Approach to Residential Segregation (2001)
[34] Zhang J., Journal of Economic Behavior and Organization (2004)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.