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A measure of bizarreness

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  • Chambers, Christopher P.
  • Miller, Alan D.

Abstract

We introduce a path-based measure of convexity to be used in assessing the compactness of legislative districts. Our measure is the probability that a district contains the shortest path between a randomly selected pair of its points. The measure is defined relative to exogenous political boundaries and population distributions.
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Suggested Citation

  • Chambers, Christopher P. & Miller, Alan D., 2007. "A measure of bizarreness," Working Papers 1272, California Institute of Technology, Division of the Humanities and Social Sciences.
    • Handle: RePEc:clt:sswopa:1272
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    File URL: http://www.hss.caltech.edu/SSPapers/sswp1272.pdf
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    Cited by:

    1. Clemens Puppe & Attila Tasnádi, 2015. "Axiomatic districting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 31-50, January.
    2. Balázs R Sziklai & Károly Héberger, 2020. "Apportionment and districting by Sum of Ranking Differences," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-20, March.
    3. Brian Lunday & Hanif Sherali & Kevin Lunday, 2012. "The coastal seaspace patrol sector design and allocation problem," Computational Management Science, Springer, vol. 9(4), pages 483-514, November.
    4. Kyle Gatesman & James Unwin, 2018. "Lattice Studies of Gerrymandering Strategies," Papers 1808.02826, arXiv.org.
    5. Kai Hao Yang & Alexander K. Zentefis, 2022. "Gerrymandering and the Limits of Representative Democracy," Cowles Foundation Discussion Papers 2328, Cowles Foundation for Research in Economics, Yale University.
    6. Katsuya Kobayashi & Attila Tasnádi, 2019. "Gerrymandering in a hierarchical legislature," Theory and Decision, Springer, vol. 87(2), pages 253-279, September.
    7. Chambers, Christopher P. & Miller, Alan D., 2013. "Measuring legislative boundaries," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 268-275.

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