IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v19y2015i4p279-297.html
   My bibliography  Save this article

The informational basis of scoring rules

Author

Listed:
  • Matías Núñez
  • Giacomo Valletta

Abstract

We consider voting wherein voters assign a certain score to each of the many available alternatives. We study the normative properties of procedures that aggregate the scores collected in the ballot box. A vast class of ballot aggregators, including procedures based on the pairwise comparison of alternatives, satisfy May’s famous conditions in our framework. We prove that, within such a plethora of procedures, scoring rules are singled out by a property related to their informational basis: in order to determine the winner, they do not take into account the specific distribution of scores chosen by each voter. The result is shown to hold regardless of the introduction of asymmetry among the alternatives. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Matías Núñez & Giacomo Valletta, 2015. "The informational basis of scoring rules," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 279-297, December.
    • Handle: RePEc:spr:reecde:v:19:y:2015:i:4:p:279-297
    DOI: 10.1007/s10058-015-0176-7
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10058-015-0176-7
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10058-015-0176-7?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. Asan, Goksel & Sanver, M. Remzi, 2006. "Maskin monotonic aggregation rules," Economics Letters, Elsevier, vol. 91(2), pages 179-183, May.
    2. Jerry S. Kelly & Donald E. Campbell, 2000. "A simple characterization of majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 689-700.
    3. Nicolas Houy, 2007. "A new characterization of absolute qualified majority voting," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-8.
    4. 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.
    5. Houy, Nicolas, 2007. "A characterization for qualified majority voting rules," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 17-24, July.
    6. 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.
    7. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    8. Estelle Cantillon & Antonio Rangel, 2002. "A graphical analysis of some basic results in social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 587-611.
    9. J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
    10. 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.
    11. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    12. Campbell, Donald E., 1988. "A characterization of simple majority rule for restricted domains," Economics Letters, Elsevier, vol. 28(4), pages 307-310.
    13. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
    14. Basu, K. & Pattanaik, P. K. & Suzumura, K. (ed.), 1995. "Choice, Welfare, and Development: A Festschrift for Amartya K. Sen," OUP Catalogue, Oxford University Press, number 9780198287896.
    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. Jac C. Heckelman, 2023. "Negative voting social welfare functions: a characterization," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 125-132, February.
    2. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers 1938, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.

    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. Nuñez, M. & Valletta, G., 2012. "The information simplicity of scoring rules," Research Memorandum 011, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, vol. 71(4), pages 503-518, October.
    3. Ozkes, Ali Ihsan & Sanver, M. Remzi, 2017. "Absolute qualified majoritarianism: How does the threshold matter?," Economics Letters, Elsevier, vol. 153(C), pages 20-22.
    4. McMorris, F.R. & Powers, R.C., 2013. "Majority decision on median semilattices," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 48-51.
    5. F. McMorris & R. Powers, 2008. "The majority decision function for trees with 3 leaves," Annals of Operations Research, Springer, vol. 163(1), pages 169-175, October.
    6. Hoots, Lucas & Powers, Robert C., 2015. "Anonymous and positively responsive aggregation rules," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 9-14.
    7. 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.
    8. Kotaro Suzumura, 2002. "Introduction to social choice and welfare," Temi di discussione (Economic working papers) 442, Bank of Italy, Economic Research and International Relations Area.
    9. Mateusz Krukowski, 2023. "Majority rule as a unique voting method in elections with multiple candidates," Papers 2310.12983, arXiv.org.
    10. M. Sanver, 2009. "Characterizations of majoritarianism: a unified approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 159-171, June.
    11. Bonifacio Llamazares, 2013. "On the structure of voting systems between two alternatives," Review of Economic Design, Springer;Society for Economic Design, vol. 17(3), pages 239-248, September.
    12. Josep Freixas & Montserrat Pons, 2021. "An extension and an alternative characterization of May’s theorem," Annals of Operations Research, Springer, vol. 302(1), pages 137-150, July.
    13. McMorris, F.R. & Mulder, Henry Martyn & Novick, Beth & Powers, Robert C., 2021. "Majority rule for profiles of arbitrary length, with an emphasis on the consistency axiom," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 164-174.
    14. Llamazares, Bonifacio, 2006. "The forgotten decision rules: Majority rules based on difference of votes," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 311-326, May.
    15. José Luis Garcí a-Lapresta & Bonifacio Llamazares, 2010. "Preference Intensities and Majority Decisions Based on Difference of Support Between Alternatives," Group Decision and Negotiation, Springer, vol. 19(6), pages 527-542, November.
    16. Gersbach, Hans & Tejada, Oriol, 2020. "Semi-flexible Majority Rules for Public Good Provision," CEPR Discussion Papers 15099, C.E.P.R. Discussion Papers.
    17. Xu, Yongsheng & Zhong, Zhen, 2010. "Single profile of preferences with variable societies: A characterization of simple majority rule," Economics Letters, Elsevier, vol. 107(2), pages 119-121, May.
    18. 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.
    19. Quesada, Antonio, 2011. "Parallel axiomatizations of majority and unanimity," Economics Letters, Elsevier, vol. 111(2), pages 151-154, May.
    20. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers halshs-02440615, HAL.

    More about this item

    Keywords

    Scoring rules; May’s theorem; Informational basis; D71;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:reecde:v:19:y:2015:i:4:p:279-297. 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.