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Properties of the Apportionment Methods Used in the Primaries

In: Delegate Apportionment in the US Presidential Primaries

Author

Listed:
  • Michael A. Jones

    (American Mathematical Society)

  • David McCune

    (William Jewell College)

  • Jennifer M. Wilson

    (Eugene Lang College, The New School)

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 delegateDelegate apportionment methods satisfy the quota conditionQuota condition and quantify their degree of bias for and against the strongest and weakest candidates by analyzing delegateDelegate bias, delegate thresholdsDelegate threshold, and the behavior of the methods in close electionsClose election. These ideas are then related to the sensitivitySensitivity 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 coalitionsCandidate coalitions. We conclude by comparing overall vote shareVote share to seat share for the strongest candidates in recent state primaries.

Suggested Citation

  • Michael A. Jones & David McCune & Jennifer M. Wilson, 2023. "Properties of the Apportionment Methods Used in the Primaries," Studies in Choice and Welfare, in: Delegate Apportionment in the US Presidential Primaries, chapter 0, pages 77-126, Springer.
    • Handle: RePEc:spr:stcchp:978-3-031-24954-9_5
    DOI: 10.1007/978-3-031-24954-9_5
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