IDEAS home Printed from https://ideas.repec.org/p/clt/sswopa/1272.html
   My bibliography  Save this paper

A measure of bizarreness

Author

Listed:
  • 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.
(This abstract was borrowed from another version of this item.)

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
    as

    Download full text from publisher

    File URL: http://www.hss.caltech.edu/SSPapers/sswp1272.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:clt:sswopa:1272. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Victoria Mason (email available below). General contact details of provider: http://www.hss.caltech.edu/ss .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.