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New quota-based apportionment methods: The allocation of delegates in the Republican Presidential Primary

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  • Jones, Michael A.
  • McCune, David
  • Wilson, Jennifer M.

Abstract

We survey the apportionment methods used by the Republican Party in their 2012 and 2016 state presidential primaries, with a focus on the seven methods that are proportional. All of the proportional methods are quota-based, and all but one are new (or at least previously unstudied). After comparing the apportionment methods for three candidates using simplicial geometry, we evaluate how they differ in bias toward the top and bottom vote-getting candidates. We also compare the methods by how they distinguish among candidates in close elections. We use the bias comparisons to suggest which methods should be used at different junctures in the primary season. We discuss how these new methods were implemented in practice and summarize how successful these methods were in making the Republican delegate process more proportional.

Suggested Citation

  • Jones, Michael A. & McCune, David & Wilson, Jennifer M., 2020. "New quota-based apportionment methods: The allocation of delegates in the Republican Presidential Primary," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 122-137.
    • Handle: RePEc:eee:matsoc:v:108:y:2020:i:c:p:122-137
    DOI: 10.1016/j.mathsocsci.2020.05.001
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    References listed on IDEAS

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    1. Jones, Michael A. & Wilson, Jennifer M., 2010. "Evaluation of thresholds for power mean-based and other divisor methods of apportionment," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 343-348, May.
    2. Michael A. Jones & David McCune & Jennifer Wilson, 2019. "The elimination paradox: apportionment in the Democratic Party," Public Choice, Springer, vol. 178(1), pages 53-65, January.
    3. Mathias Drton & Udo Schwingenschlögl, 2005. "Asymptotic seat bias formulas," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 62(1), pages 23-31, September.
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    Cited by:

    1. Zéphirin Nganmeni & Roland Pongou & Bertrand Tchantcho & Jean‐Baptiste Tondji, 2022. "Vaccine and inclusion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 1101-1123, October.
      • Zéphirin Nganmeni & Roland Pongou & Bertrand Tchantcho & Jean-Baptiste Tondji, 2022. "Vaccine and Inclusion," Working Papers 2202E Classification-C62,, University of Ottawa, Department of Economics.

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