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Significant suppression of segregation in Schelling’s metapopulation model with star-type underlying topology

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  • Guifeng Su

    (Shanghai Normal University)

  • Yi Zhang

    (Shanghai Normal University)

Abstract

Segregation phase transition has long been considered a robust phenomenon in celebrated Schelling’s segregation model, the degree of segregation remains largely unchanged even with different underlying topologies. However, in this study, we have observed that a significant suppression of segregation can be achieved by modifying agents’ migration paths in a Schelling’s metapopulation model with a simple step utility function, based on an extremely heterogeneous star-type underlying complex network. We find that the degree of suppression is occupancy density dependent, and the effect is even more pronounced at higher occupancy densities. To explore the impact of this modification of migration paths, we suggest a random adding-link mechanism as well. We have observed that as the adding-link probability increases from zero to unity, the significantly suppressed segregation phase at lower probability eventually emerges. Moreover, we identified a scaling law of the average stationary interface density versus the re-scaled adding-link probability. Graphic abstract

Suggested Citation

  • Guifeng Su & Yi Zhang, 2023. "Significant suppression of segregation in Schelling’s metapopulation model with star-type underlying topology," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(7), pages 1-6, July.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:7:d:10.1140_epjb_s10051-023-00560-9
    DOI: 10.1140/epjb/s10051-023-00560-9
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    References listed on IDEAS

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    1. 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.
    2. Fagiolo, Giorgio & Valente, Marco & Vriend, Nicolaas J., 2007. "Segregation in networks," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 316-336.
    3. L. Gauvin & J. Vannimenus & J.-P. Nadal, 2009. "Phase diagram of a Schelling segregation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 293-304, July.
    4. Sebastian Grauwin & Florence Goffette-Nagot & Pablo Jensen, 2012. "Dynamic models of residential segregation: An analytical solution," Post-Print halshs-00733842, HAL.
    5. D. Stauffer & S. Solomon, 2007. "Ising, Schelling and self-organising segregation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(4), pages 473-479, June.
    6. 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.
    7. Gandica, Yerali & Gargiulo, Floriana & Carletti, Timoteo, 2016. "Can topology reshape segregation patterns?," Chaos, Solitons & Fractals, Elsevier, vol. 90(C), pages 46-54.
    8. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2009. "A Dynamic Model of Segregation in Small-World Networks," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 111-126, Springer.
    9. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2009. "A Dynamic Model of Segregation in Small-World Networks," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 111-126, Springer.
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