IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v43y2014i4p809-825.html
   My bibliography  Save this article

A characterization result for approval voting with a variable set of alternatives

Author

Listed:
  • Norihisa Sato

Abstract

In this paper, we present a new result for axiomatic characterization of approval voting. Having defined a model in which the actual set of alternatives becomes known only after a vote has been taken, we characterize approval voting as the only voting procedure (to be precise, “family of ballot aggregation functions”) that satisfies faithfulness ( F), consistency ( C), stability on selected alternatives ( SSA), and independence of dropped alternatives ( IDA). SSA, which is a version of the property introduced by Arrow (Economica 16:121–127, 1959 ), states that if the actual set of alternatives is smaller than the original set, we should select those alternatives, if any, that would have been selected on the first vote and that are still feasible. On the other hand, IDA suggests that we should select alternatives based on the outcome of the second vote. Therefore, given F and C, approval voting is the only voting procedure that selects the same set of alternatives irrespective of which vote counts, that is, the first or second vote. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Norihisa Sato, 2014. "A characterization result for approval voting with a variable set of alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 809-825, December.
  • Handle: RePEc:spr:sochwe:v:43:y:2014:i:4:p:809-825
    DOI: 10.1007/s00355-014-0811-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-014-0811-1
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00355-014-0811-1?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.

    References listed on IDEAS

    as
    1. 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.
    2. Sertel, Murat R., 1988. "Characterizing approval voting," Journal of Economic Theory, Elsevier, vol. 45(1), pages 207-211, June.
    3. Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 621-625, December.
    4. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2014. "Non-anonymous ballot aggregation: An axiomatic generalization of Approval Voting," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 69-78.
    5. Baigent, Nick & Xu, Yongsheng, 1991. "Independent necessary and sufficient conditions for approval voting," Mathematical Social Sciences, Elsevier, vol. 21(1), pages 21-29, February.
    6. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    7. Marc Vorsatz, 2007. "Approval Voting on Dichotomous Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 127-141, January.
    8. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
    9. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Brandl, Florian & Peters, Dominik, 2022. "Approval voting under dichotomous preferences: A catalogue of characterizations," Journal of Economic Theory, Elsevier, vol. 205(C).
    2. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    3. Sato, Norihisa, 2019. "Approval voting and fixed electorate with dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 51-60.
    4. Komatsu, Hiroyuki, 2024. "Characterizations of approval ranking," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 18-24.
    5. Alós-Ferrer, Carlos & Buckenmaier, Johannes, 2019. "Strongly sincere best responses under approval voting and arbitrary preferences," Games and Economic Behavior, Elsevier, vol. 117(C), pages 388-401.
    6. Trevor Leach & Robert C. Powers, 2020. "Majority rule on j-rich ballot spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 639-655, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    2. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2009. "Size approval voting," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1187-1210, May.
    3. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2014. "Non-anonymous ballot aggregation: An axiomatic generalization of Approval Voting," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 69-78.
    4. Trevor Leach & Robert C. Powers, 2020. "Majority rule on j-rich ballot spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 639-655, April.
    5. Alcantud, José Carlos R. & de Andres Calle, Rocio & Cascon, José Manuel, 2012. "Approval consensus measures," MPRA Paper 39610, University Library of Munich, Germany.
    6. Martínez, Ricardo & Moreno, Bernardo, 2017. "Qualified voting systems," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 49-54.
    7. Brandl, Florian & Peters, Dominik, 2022. "Approval voting under dichotomous preferences: A catalogue of characterizations," Journal of Economic Theory, Elsevier, vol. 205(C).
    8. Alós-Ferrer, Carlos & Buckenmaier, Johannes, 2019. "Strongly sincere best responses under approval voting and arbitrary preferences," Games and Economic Behavior, Elsevier, vol. 117(C), pages 388-401.
    9. Susumu Cato & Stéphane Gonzalez & Eric Rémila & Philippe Solal, 2022. "Approval voting versus proportional threshold methods: so far and yet so near," Working Papers halshs-03858356, HAL.
    10. 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.
    11. Erdamar, Bora & Sanver, M. Remzi & Sato, Shin, 2017. "Evaluationwise strategy-proofness," Games and Economic Behavior, Elsevier, vol. 106(C), pages 227-238.
    12. Duddy, Conal, 2014. "Electing a representative committee by approval ballot: An impossibility result," Economics Letters, Elsevier, vol. 124(1), pages 14-16.
    13. José Alcantud & Annick Laruelle, 2014. "Dis&approval voting: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 1-10, June.
    14. Komatsu, Hiroyuki, 2024. "Characterizations of approval ranking," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 18-24.
    15. Duddy, Conal & Piggins, Ashley, 2013. "Collective approval," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 190-194.
    16. Efthymios Athanasiou & Juan D. Moreno-Ternero & Shlomo Weber, 2015. "Language learning and communicative benefits," Working Papers 15.09, Universidad Pablo de Olavide, Department of Economics.
    17. Sato, Norihisa, 2019. "Approval voting and fixed electorate with dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 51-60.
    18. Igerseim, Herrade & Baujard, Antoinette & Laslier, Jean-François, 2016. "La question du vote. Expérimentations en laboratoire et In Situ," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 151-189, Mars-Juin.
    19. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
    20. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.

    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:43:y:2014:i:4:p:809-825. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.