IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v22y2004i3p539-566.html
   My bibliography  Save this article

Approval voting and positional voting methods: Inference, relationship, examples

Author

Listed:
  • Michel Regenwetter
  • Ilia Tsetlin

Abstract

Approval voting is the voting method recently adopted by the Society for Social Choice and Welfare. Positional voting methods include the famous plurality, antiplurality, and Borda methods. We extend the inference framework of Tsetlin and Regenwetter (2003) from majority rule to approval voting and all positional voting methods. We also establish a link between approval voting and positional voting methods whenever Falmagne et al.’s (1996) size-independent model of approval voting holds: In all such cases, approval voting mimics some positional voting method. We illustrate our inference framework by analyzing approval voting and ranking data, with and without the assumption of the size-independent model. For many of the existing data, including the Society for Social Choice and Welfare election analyzed by Brams and Fishburn (2001) and Saari (2001), low turnout implies that inferences drawn from such elections carry low (statistical) confidence. Whenever solid inferences are possible, we find that, under certain statistical assumptions, approval voting tends to agree with positional voting methods, and with Borda, in particular. Copyright Springer-Verlag 2004

Suggested Citation

  • Michel Regenwetter & Ilia Tsetlin, 2004. "Approval voting and positional voting methods: Inference, relationship, examples," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(3), pages 539-566, June.
    • Handle: RePEc:spr:sochwe:v:22:y:2004:i:3:p:539-566
    DOI: 10.1007/s00355-003-0232-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-003-0232-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00355-003-0232-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Darmann, Andreas & Grundner, Julia & Klamler, Christian, 2019. "Evaluative voting or classical voting rules: Does it make a difference? Empirical evidence for consensus among voting rules," European Journal of Political Economy, Elsevier, vol. 59(C), pages 345-353.
    2. Jean-François Laslier & Karine Straeten, 2008. "A live experiment on approval voting," Experimental Economics, Springer;Economic Science Association, vol. 11(1), pages 97-105, March.
    3. Andreas Darmann & Christian Klamler, 2023. "Does the rule matter? A comparison of preference elicitation methods and voting rules based on data from an Austrian regional parliamentary election in 2019," Public Choice, Springer, vol. 197(1), pages 63-87, October.
    4. Eric Kamwa, 2023. "On two voting systems that combine approval and preferences: fallback voting and preference approval voting," Public Choice, Springer, vol. 196(1), pages 169-205, July.
    5. Marc Vorsatz, 2008. "Scoring rules on dichotomous preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 151-162, June.
    6. Regenwetter, Michel, 2008. "Perspectives on preference aggregation," Papers 08-26, Sonderforschungsbreich 504.
    7. Michel Regenwetter & Elena Rykhlevskaia, 2007. "A general concept of scoring rules: general definitions, statistical inference, and empirical illustrations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 211-228, September.
    8. Jordi Massó & Marc Vorsatz, 2008. "Weighted approval voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(1), pages 129-146, July.
    9. Arnaud Dellis & Sean D’Evelyn & Katerina Sherstyuk, 2011. "Multiple votes, ballot truncation and the two-party system: an experiment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 171-200, July.

    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:sochwe:v:22:y:2004:i:3:p:539-566. 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.