IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v60y2010i1p15-23.html
   My bibliography  Save this article

Strategy-proofness and weighted voting

Author

Listed:
  • Campbell, Donald E.
  • Kelly, Jerry S.

Abstract

A strict social welfare function (SSWF) that always yields an asymmetric binary relation with a single maximal alternative induces a social choice rule on its domain. It is known that if the induced rule is strategy-proof then it can also be generated by a SSWF satisfying non-reversal. This paper proves that a SSWF satisfying anonymity and IIAsatisfies non-reversal if and only if it is a weighted voting rule. If there are less than six voters then a SSWF satisfying neutrality and IIA satisfies non-reversal if and only if it is a weighted voting rule, but this equivalence does not hold for more than five voters.

Suggested Citation

  • Campbell, Donald E. & Kelly, Jerry S., 2010. "Strategy-proofness and weighted voting," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 15-23, July.
  • Handle: RePEc:eee:matsoc:v:60:y:2010:i:1:p:15-23
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-4896(10)00005-3
    Download Restriction: Full text for ScienceDirect subscribers only

    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. Kfir Eliaz, 2004. "Social aggregators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 317-330, April.
    2. Asan, Goksel & Sanver, M. Remzi, 2006. "Maskin monotonic aggregation rules," Economics Letters, Elsevier, vol. 91(2), pages 179-183, May.
    3. Brams, Steven J. & Fishburn, Peter C., 2002. "Voting procedures," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 4, pages 173-236 Elsevier.
    4. Ron Lavi & Ahuva Mu’alem & Noam Nisan, 2009. "Two simplified proofs for Roberts’ theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 407-423, March.
    5. Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 287-309, August.
    6. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    7. Remzi Sanver, M., 2006. "Nash implementation of the majority rule," Economics Letters, Elsevier, vol. 91(3), pages 369-372, June.
    8. Donald E. Campbell & Jerry S. Kelly, 2003. "A strategy-proofness characterization of majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 557-568, October.
    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. Campbell, Donald E. & Graver, Jack & Kelly, Jerry S., 2012. "There are more strategy-proof procedures than you think," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 263-265.
    2. repec:eee:matsoc:v:90:y:2017:i:c:p:18-27 is not listed on IDEAS

    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:eee:matsoc:v:60:y:2010:i:1:p:15-23. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.