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2023 | OriginalPaper | Chapter

5. Properties of the Apportionment Methods Used in the Primaries

Authors : Michael A. Jones, David McCune, Jennifer M. Wilson

Published in: Delegate Apportionment in the US Presidential Primaries

Publisher: Springer International Publishing

Abstract

The seven delegate apportionment methods used in the presidential primaries are analyzed and compared, according to whether they satisfy basic properties such as homogeneity and proportionality. We consider how often the delegate apportionment methods satisfy the quota condition and quantify their degree of bias for and against the strongest and weakest candidates by analyzing delegate bias, delegate thresholds, and the behavior of the methods in close elections. These ideas are then related to the sensitivity of the apportionment methods to small changes of the vote totals. We also determine which methods satisfy majority and leader criteria, and discuss the methods’ propensity to support candidate coalitions. We conclude by comparing overall vote share to seat share for the strongest candidates in recent state primaries.

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previous chapter The Republican Party Primary

next chapter Paradoxes

In the context of house seat apportionment, bias may also be a result of a method’s tendency to favor the smaller states at the expense of larger states. This kind of bias does not arise in delegate apportionment, although it is conceivable that a party may wish to favor weaker candidates at the beginning of the primary season, as discussed in Chap. 7.

The method itself was described too vaguely to categorize as one of the seven apportionment methods we study. The method is based on nearest integer rounding, but there is no indication how to adjust the apportionment if the rounding does not yield a legitimate apportionment.

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Jones MA, McCune D, Wilson JM (2020) New quota-based apportionment methods: the allocation of delegates in the Republican presidential primary. Math Social Sci 108:122–137. https://doi.org/10.1016/j.mathsocsci.2020.05.001 CrossRef

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The Green Papers (2022) The Green Papers. http://www.TheGreenPapers.com, accessed: 2021-12-15

Title: Properties of the Apportionment Methods Used in the Primaries
Authors: Michael A. Jones
David McCune
Jennifer M. Wilson
Publisher: Springer International Publishing
Book: Delegate Apportionment in the US Presidential Primaries
Print ISBN: 978-3-031-24953-2

Electronic ISBN: 978-3-031-24954-9

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-3-031-24954-9_5

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