How the model works
Thomas Schelling (1969, 1971) placed two kinds of coins at random on a checkerboard and applied a simple rule: a coin is "unhappy" if fewer than a certain share (say one-third) of its eight neighbors are of its own kind, and it moves to an empty square that satisfies it. Repeating this process transforms the board into large clusters of like coins, even though no one wants segregation and preferences are mild enough to accept mixed neighborhoods. Sakoda (1971) published a similar checkerboard model at the same time. The core message is that individual motives and collective outcomes can diverge, which Schelling generalized in Micromotives and Macrobehavior (1978). The model is often cited as a social-science example of emergence and self-organization.
Tipping and agent-based modeling
Schelling also analyzed "tipping," in which existing residents leave rapidly once a minority share in a neighborhood passes some threshold, a source of the tipping point concept. His model was a hand-run simulation from before widespread computing, yet it is regarded as a starting point for agent-based models that grow social patterns from individual rules, such as Epstein and Axtell's (1996) artificial societies. Zhang (2004) showed mathematically that segregation can be a stable equilibrium even when everyone most prefers mixed neighborhoods, and Vinković and Kirman (2006) offered a physical analogy to the coalescence of liquids with surface tension. Bruch and Mare (2006) argued that segregation can weaken when preferences change continuously rather than in steps with neighborhood composition, and Hatna and Benenson (2012) classified patterns beyond the integrated–segregated dichotomy.
Evidence and critiques
Card, Mas and Rothstein (2008) documented tipping in U.S. cities, where the white population drops sharply once the minority share exceeds a threshold. Clark and Fossett (2008) reported that Schelling-type segregation emerges when residential preferences measured in actual surveys are used. Massey and Denton (1993), by contrast, stressed that Black–white segregation in the United States resulted from institutional and structural discrimination such as redlining, real estate practices and public housing policy rather than individual preferences. The Schelling model therefore shows that segregation can arise even without discrimination; it is not evidence that preferences alone cause actual segregation. Today it is also used as a framework for residential clustering by political leaning (Bishop, 2008) and polarization in online communities.
FAQ
- Does Schelling's model mean people want segregation?
- No. It shows that even mild preferences that accept mixed living can, as individual moves accumulate, produce strong segregation that no one intended.
- Does the model fully explain real residential segregation?
- No. Real segregation is heavily shaped by structural factors such as lending and housing discrimination, income gaps and policy; the model isolates one mechanism, the effect of preferences.
Sources reviewed: 2026-10-26
References
- Schelling, T. C. (1969). Models of segregation. American Economic Review, 59(2), 488–493.
- Schelling, T. C. (1971). Dynamic models of segregation. Journal of Mathematical Sociology, 1(2), 143–186.
- Schelling, T. C. (1978). Micromotives and Macrobehavior. New York: W. W. Norton.
- Sakoda, J. M. (1971). The checkerboard model of social interaction. Journal of Mathematical Sociology, 1(1), 119–132.
- Massey, D. S., & Denton, N. A. (1993). American Apartheid: Segregation and the Making of the Underclass. Cambridge, MA: Harvard University Press.
- Epstein, J. M., & Axtell, R. (1996). Growing Artificial Societies: Social Science from the Bottom Up. Cambridge, MA: MIT Press.
- Zhang, J. (2004). A dynamic model of residential segregation. Journal of Mathematical Sociology, 28(3), 147–170.
- Clark, W. A. V., & Fossett, M. (2008). Understanding the social context of the Schelling segregation model. Proceedings of the National Academy of Sciences, 105(11), 4109–4114.
- Vinković, D., & Kirman, A. (2006). A physical analogue of the Schelling model. Proceedings of the National Academy of Sciences, 103(51), 19261–19265.
- Bruch, E. E., & Mare, R. D. (2006). Neighborhood choice and neighborhood change. American Journal of Sociology, 112(3), 667–709.
- Card, D., Mas, A., & Rothstein, J. (2008). Tipping and the dynamics of segregation. Quarterly Journal of Economics, 123(1), 177–218.
- Hatna, E., & Benenson, I. (2012). The Schelling model of ethnic residential dynamics: Beyond the integrated–segregated dichotomy of patterns. Journal of Artificial Societies and Social Simulation, 15(1), 6.
- Bishop, B. (2008). The Big Sort: Why the Clustering of Like-Minded America Is Tearing Us Apart. Boston: Houghton Mifflin.
