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Multi-balanced redistricting

Author

Listed:
  • Daryl DeFord

    (Washington State University)

  • Elliot Kimsey

    (Washington State University, Program in Data Analytics)

  • Ryan Zerr

    (University of North Dakota)

Abstract

The one person–one vote principle for political redistricting requires balancing populations across districts. We address the matter of simultaneously balancing a second attribute across districts, proving that this is always possible to within reasonable tolerances. Feasibility is demonstrated by formulating the problem as a constrained partitioning problem on graphs. The resulting computational results demonstrate the practicality of obtaining dual-balanced districts whose balance for both attributes is well within reasonable deviations from the ideal values. Applications include attempts to avoid differential population growth leading to malapportionment between decennial census counts or simultaneously balancing total and voting-age populations.

Suggested Citation

  • Daryl DeFord & Elliot Kimsey & Ryan Zerr, 2023. "Multi-balanced redistricting," Journal of Computational Social Science, Springer, vol. 6(2), pages 923-941, October.
    • Handle: RePEc:spr:jcsosc:v:6:y:2023:i:2:d:10.1007_s42001-023-00217-8
    DOI: 10.1007/s42001-023-00217-8
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