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Tipping And Residential Segregation: A Unified Schelling Model

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  • Junfu Zhang

Abstract

This paper presents a Schelling-type checkerboard model of residential segregation formulated as a spatial game. It shows that although every agent prefers to live in a mixed-race neighborhood, complete segregation is observed almost all of the time. A concept of tipping is rigorously defined, which is crucial for understanding the dynamics of segregation. Complete segregation emerges and persists in the checkerboard model precisely because tipping is less likely to occur to such residential patterns. Agent-based simulations are used to illustrate how an integrated residential area is tipped into complete segregation and why this process is irreversible. This model incorporates insights from Schelling's two classical models of segregation (the checkerboard model and the neighborhood tipping model) and puts them on a rigorous footing. It helps us better understand the persistence of residential segregation in urban America.
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  • Junfu Zhang, 2011. "Tipping And Residential Segregation: A Unified Schelling Model," Journal of Regional Science, Wiley Blackwell, vol. 51(1), pages 167-193, February.
    • Handle: RePEc:bla:jregsc:v:51:y:2011:i:1:p:167-193
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    1. N. Emrah Aydinonat, 2005. "An interview with Thomas C. Schelling: Interpretation of game theory and the checkerboard model," Economics Bulletin, AccessEcon, vol. 2(2), pages 1-7.
    2. 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.
    3. Gabriele Ruoff & Gerald Schneider, 2006. "Segregation in the Classroom," Rationality and Society, , vol. 18(1), pages 95-117, February.
    4. Fagiolo, Giorgio & Valente, Marco & Vriend, Nicolaas J., 2007. "Segregation in networks," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 316-336.
    5. Junfu Zhang, 2003. "Revisiting Residential Segregation by Income: A Monte Carlo Test," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 2(1), pages 27-37, April.
    6. Miyao, Takahiro, 1978. "Dynamic Instability of a Mixed City in the Presence of Neighborhood Externalities," American Economic Review, American Economic Association, vol. 68(3), pages 454-463, June.
    7. Katz, Lawrence & Duncan, Greg J. & Kling, Jeffrey R. & Kessler, Ronald C. & Ludwig, Jens & Sanbonmatsu, Lisa & Liebman, Jeffrey B., 2008. "What Can We Learn about Neighborhood Effects from the Moving to Opportunity Experiment?," Scholarly Articles 2766959, Harvard University Department of Economics.
    8. Bayer, Patrick & McMillan, Robert & Rueben, Kim S., 2004. "What drives racial segregation? New evidence using Census microdata," Journal of Urban Economics, Elsevier, vol. 56(3), pages 514-535, November.
    9. Galster, George C., 1987. "Residential segregation and interracial economic disparities: A simultaneous-equations approach," Journal of Urban Economics, Elsevier, vol. 21(1), pages 22-44, January.
    10. 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.
    11. Vigdor, Jacob L., 2003. "Residential segregation and preference misalignment," Journal of Urban Economics, Elsevier, vol. 54(3), pages 587-609, November.
    12. Cloutier, Norman R, 1982. "Urban Residential Segregation and Black Income," The Review of Economics and Statistics, MIT Press, vol. 64(2), pages 282-288, May.
    13. Courant, Paul N., 1978. "Racial prejudice in a search model of the urban housing market," Journal of Urban Economics, Elsevier, vol. 5(3), pages 329-345, July.
    14. Kern, Clifford R., 1981. "Racial prejudice and residential segregation: The Yinger model revisited," Journal of Urban Economics, Elsevier, vol. 10(2), pages 164-172, September.
    15. Yinger, John, 1986. "Measuring Racial Discrimination with Fair Housing Audits: Caught in the Act," American Economic Review, American Economic Association, vol. 76(5), pages 881-893, December.
    16. Yinger, John, 1976. "Racial prejudice and racial residential segregation in an urban model," Journal of Urban Economics, Elsevier, vol. 3(4), pages 383-396, October.
    17. Bøg, Martin, 2007. "Is Segregation Robust?," MPRA Paper 8774, University Library of Munich, Germany.
    18. John F. Kain, 1968. "Housing Segregation, Negro Employment, and Metropolitan Decentralization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(2), pages 175-197.
    19. 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, April.
    20. Ann B. Schnare, 1976. "Racial and Ethnic Price Differentials in an Urban Housing Market," Urban Studies, Urban Studies Journal Limited, vol. 13(2), pages 107-120, June.
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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies

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