IDEAS home Printed from https://ideas.repec.org/h/spr/stcchp/978-3-031-24954-9_6.html
   My bibliography  Save this book chapter

Paradoxes

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

In this chapter, we catalog the paradoxes to which the seven delegateDelegate apportionment methods are susceptible. Because all of the methods used in the Democratic and Republican primaries are quota-based, they are susceptible to classical paradoxes like the Alabama and population paradoxesPopulation paradox. The methods also suffer from other paradoxes that are more relevant in the context of delegateDelegate apportionment such as the elimination and aggregation paradoxesAggregation paradox. We evaluate the extent to which each method is susceptible to each paradox. We use simulations, data from recent presidential primaries, and simplicial geometrySimplicial geometry to investigate the likelihood that each paradox occurs. For each paradox, we focus on which candidates are most likely to be affected and on the effect of thresholds.

Suggested Citation

  • Michael A. Jones & David McCune & Jennifer M. Wilson, 2023. "Paradoxes," Studies in Choice and Welfare, in: Delegate Apportionment in the US Presidential Primaries, chapter 0, pages 127-185, Springer.
    • Handle: RePEc:spr:stcchp:978-3-031-24954-9_6
    DOI: 10.1007/978-3-031-24954-9_6
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:spr:stcchp:978-3-031-24954-9_6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.