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Taming the Gerrymander—Statistical physics approach to Political Districting Problem

Author

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  • Chou, Chung-I
  • Li, S.P.

Abstract

The Political Districting Problem is mapped to a q-state Potts model in which the constraints can be written as interactions between sites or external fields acting on the system. Districting into q voter districts is equivalent to finding the ground state of this q-state Potts model. We illustrate this by districting Taipei city in its 2008 Legislature Election. Statistical properties of the model are also studied.

Suggested Citation

  • Chou, Chung-I & Li, S.P., 2006. "Taming the Gerrymander—Statistical physics approach to Political Districting Problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 799-808.
    • Handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:799-808
    DOI: 10.1016/j.physa.2006.01.082
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    Citations

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    Cited by:

    1. Federica Ricca & Andrea Scozzari & Bruno Simeone, 2013. "Political Districting: from classical models to recent approaches," Annals of Operations Research, Springer, vol. 204(1), pages 271-299, April.
    2. Kyle Gatesman & James Unwin, 2018. "Lattice Studies of Gerrymandering Strategies," Papers 1808.02826, arXiv.org.
    3. Eduardo Álvarez-Miranda & Camilo Campos-Valdés & Maurcio Morales Quiroga & Matías Moreno-Faguett & Jordi Pereira, 2020. "A Multi-Criteria Pen for Drawing Fair Districts: When Democratic and Demographic Fairness Matter," Mathematics, MDPI, vol. 8(9), pages 1-26, August.
    4. Balázs Fleiner & Balázs Nagy & Attila Tasnádi, 2017. "Optimal partisan districting on planar geographies," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(4), pages 879-888, December.
    5. Lovelace, Robin & Tennekes, Martijn & Carlino, Dustin, 2021. "ClockBoard: a zoning system for urban analysis," OSF Preprints vncgw, Center for Open Science.

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