IDEAS home Printed from https://ideas.repec.org/a/kap/pubcho/v30y1977i1p43-50.html
   My bibliography  Save this article

The Borda game

Author

Listed:
  • Roy Gardner

Abstract

Recently, a number of authors have constructed axiomatic defences of Borda's rule [2, 4, 8], In every case, it Is assumed that voters mark their ballots honestly, in accordance with their preferences. That this assumption may be unrealistic was known to Borda himself [ij. Elsewhere • [3, 5], it has been shpwn how Borda's rule can reward misrepresented pref erences on the part of individual voters. This result is in the same spirit as, but not a consequence of, the Gibbard-Satterthwaite theorem [6, 7], since Borda's rule allows ties. This is in marked contrast to Condorcet's rule, where such misrepresentation is not rewarded.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Roy Gardner, 1977. "The Borda game," Public Choice, Springer, vol. 30(1), pages 43-50, June.
    • Handle: RePEc:kap:pubcho:v:30:y:1977:i:1:p:43-50
    DOI: 10.1007/BF01718817
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF01718817
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF01718817?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. B. Fine & K. Fine, 1974. "Social Choice and Individual Rankings II," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 459-475.
    2. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    3. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    4. B. Fine & K. Fine, 1974. "Social Choice and Individual Ranking I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 303-322.
    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. Gardner Roy, 1979. "Onymous consistent voting systems," CEPREMAP Working Papers (Couverture Orange) 7917, CEPREMAP.
    2. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.

    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. Manimay Sen, 1984. "Strategy-proofness of a class of Borda rules," Public Choice, Springer, vol. 43(3), pages 251-285, January.
    2. Felix Brandt & Patrick Lederer & René Romen, 2024. "Relaxed notions of Condorcet-consistency and efficiency for strategyproof social decision schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 19-55, August.
    3. Bock, Hans-Hermann & Day, William H. E. & McMorris, F. R., 1998. "Consensus rules for committee elections," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 219-232, May.
    4. Marco LiCalzi, 2022. "Bipartite choices," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(2), pages 551-568, December.
    5. John C. McCabe-Dansted & Arkadii Slinko, 2006. "Exploratory Analysis of Similarities Between Social Choice Rules," Group Decision and Negotiation, Springer, vol. 15(1), pages 77-107, January.
    6. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Aleskerov, Fuad & Karabekyan, Daniel & Sanver, M. Remzi & Yakuba, Vyacheslav, 2012. "On the manipulability of voting rules: The case of 4 and 5 alternatives," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 67-73.
    8. Lirong Xia, 2020. "How Likely Are Large Elections Tied?," Papers 2011.03791, arXiv.org, revised Jul 2021.
    9. Dindar, Hayrullah & Lainé, Jean, 2017. "Manipulation of single-winner large elections by vote pairing," Economics Letters, Elsevier, vol. 161(C), pages 105-107.
    10. Raúl Pérez-Fernández & Bernard De Baets, 2017. "Recursive Monotonicity of the Scorix: Borda Meets Condorcet," Group Decision and Negotiation, Springer, vol. 26(4), pages 793-813, July.
    11. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    12. Brandt, Felix & Saile, Christian & Stricker, Christian, 2022. "Strategyproof social choice when preferences and outcomes may contain ties," Journal of Economic Theory, Elsevier, vol. 202(C).
    13. Franceschini, Fiorenzo & Maisano, Domenico, 2015. "Checking the consistency of the solution in ordinal semi-democratic decision-making problems," Omega, Elsevier, vol. 57(PB), pages 188-195.
    14. Souvik Roy & Soumyarup Sadhukhan, 2019. "A characterization of random min–max domains and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 887-906, November.
    15. Mizukami, Hideki & Saijo, Tatsuyoshi & Wakayama, Takuma, 2003. "Strategy-Proof Sharing," Working Papers 1170, California Institute of Technology, Division of the Humanities and Social Sciences.
    16. Bruno Frey, 2011. "Tullock challenges: happiness, revolutions, and democracy," Public Choice, Springer, vol. 148(3), pages 269-281, September.
    17. Donaldson, Jason & Piacentino, Giorgia & Malenko, Nadya, 2017. "Deadlock on the Board," CEPR Discussion Papers 12503, C.E.P.R. Discussion Papers.
    18. Takamiya, Koji, 2001. "Coalition strategy-proofness and monotonicity in Shapley-Scarf housing markets," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 201-213, March.
    19. Freixas, Josep & Parker, Cameron, 2015. "Manipulation in games with multiple levels of output," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 144-151.
    20. Burak Can & Peter Csoka & Emre Ergin, 2017. "How to choose a non-manipulable delegation?," CERS-IE WORKING PAPERS 1713, Institute of Economics, Centre for Economic and Regional Studies.

    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:kap:pubcho:v:30:y:1977:i:1:p:43-50. 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.