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Spatial Segregation and Urban Structure

Author

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  • Pierre M. Picard

    (CREA, Université du Luxembourg and CORE, Universit é Catholique de Louvain)

  • Pascal Mossay

    (Department of Economics, University of Reading and CORE)

Abstract

In this paper, we study social interactions between two populations of individuals living in a city. Agents consume land and benefit from intra- and inter-group social interactions. We show that in equilibrium segregation arises: populations get separated in distinct spatial neighborhoods. Two- and three-district urban structures are characterized. For high population ratios or strong inter-group interactions, only a three-district city exists. In other cases, multiplicity of equilibria arises. Moreover, for sufficiently low population ratios or very weak inter-group interactions, all individuals agree on which spatial equilibrium is best.

Suggested Citation

  • Pierre M. Picard & Pascal Mossay, 2013. "Spatial Segregation and Urban Structure," DEM Discussion Paper Series 13-03, Department of Economics at the University of Luxembourg.
    • Handle: RePEc:luc:wpaper:13-03
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    File URL: https://hdl.handle.net/10993/12869
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    References listed on IDEAS

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    1. Helsley, Robert W. & Zenou, Yves, 2014. "Social networks and interactions in cities," Journal of Economic Theory, Elsevier, vol. 150(C), pages 426-466.
    2. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September.
    3. Zenou, Yves, 2013. "Spatial versus social mismatch," Journal of Urban Economics, Elsevier, vol. 74(C), pages 113-132.
    4. Grauwin, Sébastian & Goffette-Nagot, Florence & Jensen, Pablo, 2012. "Dynamic models of residential segregation: An analytical solution," Journal of Public Economics, Elsevier, vol. 96(1), pages 124-141.
    5. 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.
    6. Sebastian Grauwin & Florence Goffette-Nagot & Pablo Jensen, 2012. "Dynamic models of residential segregation: An analytical solution," Post-Print halshs-00733842, HAL.
    7. Fujita, Masahisa & Ogawa, Hideaki, 1982. "Multiple equilibria and structural transition of non-monocentric urban configurations," Regional Science and Urban Economics, Elsevier, vol. 12(2), pages 161-196, May.
    8. Epple, Dennis & Platt, Glenn J., 1998. "Equilibrium and Local Redistribution in an Urban Economy when Households Differ in both Preferences and Incomes," Journal of Urban Economics, Elsevier, vol. 43(1), pages 23-51, January.
    9. Mossay, P. & Picard, P.M., 2011. "On spatial equilibria in a social interaction model," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2455-2477.
    10. Anas, Alex & Arnott, Richard & Small, Kenneth A., 1997. "Urban Spatial Structure," University of California Transportation Center, Working Papers qt835049q3, University of California Transportation Center.
    11. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455, July.
    12. Adrien BLANCHET & Pascal MOSSAY & Filippo SANTAMBROGIO, 2013. "Existence and Uniqueness of Equilibrium for a Spatial Model of Social Interactions," Discussion papers 13055, Research Institute of Economy, Trade and Industry (RIETI).
    13. Roland Bénabou, 1996. "Equity and Efficiency in Human Capital Investment: The Local Connection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(2), pages 237-264.
    14. Junfu Zhang, 2011. "Tipping And Residential Segregation: A Unified Schelling Model," Journal of Regional Science, Wiley Blackwell, vol. 51(1), pages 167-193, February.
    15. Sergio Currarini & Matthew O. Jackson & Paolo Pin, 2009. "An Economic Model of Friendship: Homophily, Minorities, and Segregation," Econometrica, Econometric Society, vol. 77(4), pages 1003-1045, July.
    16. Brueckner, Jan K. & Thisse, Jacques-Francois & Zenou, Yves, 1999. "Why is central Paris rich and downtown Detroit poor?: An amenity-based theory," European Economic Review, Elsevier, vol. 43(1), pages 91-107, January.
    17. Adrien Blanchet & Pascal Mossay & Filippo Santambrogio, 2016. "Existence And Uniqueness Of Equilibrium For A Spatial Model Of Social Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 31-60, February.
    18. 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.
    19. Adrien BLANCHET & Pascal MOSSAY & Filippo SANTAMBROGIO, 2016. "Existence and uniqueness of equilibrium for a spatial model of social interactions," LIDAM Reprints CORE 2805, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Zenou, Yves, 2011. "Spatial versus Social Mismatch: The Strength of Weak Ties," Research Papers in Economics 2011:5, Stockholm University, Department of Economics.
    21. William A. Brock & Steven N. Durlauf, 2002. "A Multinomial-Choice Model of Neighborhood Effects," American Economic Review, American Economic Association, vol. 92(2), pages 298-303, May.
    22. de Marti, Joan & Zenou, Yves, 2011. "Identity and Social Distance in Friendship Formation," Research Papers in Economics 2011:13, Stockholm University, Department of Economics.
    23. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    24. 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.
    25. Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
    26. Roland Benabou, 1993. "Workings of a City: Location, Education, and Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 619-652.
    27. Adrien Blanchet & Pascal Mossay & Filippo Santambrogio, 2016. "Existence And Uniqueness Of Equilibrium For A Spatial Model Of Social Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 31-60, February.
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    More about this item

    Keywords

    social interaction; segregation; multiple centers; urban districts;
    All these keywords.

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets

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