IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/1285.html
   My bibliography  Save this paper

A Graphical Analysis of Some Basic Results in Social Choice

Author

Listed:
  • Estelle Cantillon

    (Cowles Foundation, Yale University)

  • Antonio Rangel

    (Stanford, NBER, Instituto de Analisis Economico)

Abstract

We use a simple graphical approach to represent Social Welfare Functions that satisfy Independence of Irrelevant Alternatives and Anonymity. This approach allows us to provide simple and illustrative proofs of May's Theorem, of variants of classic impossibility results, and of a recent result on the robustness of Majority Rule due to Maskin (1995). In each case, geometry provides new insights on the working and interplay of the axioms, and suggests new results including a new characterization of the entire class of Majority Rule SWFs, a strengthening of May's Theorem, and a new version of Maskin's Theorem.

Suggested Citation

  • Estelle Cantillon & Antonio Rangel, 2000. "A Graphical Analysis of Some Basic Results in Social Choice," Cowles Foundation Discussion Papers 1285, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1285
    as

    Download full text from publisher

    File URL: http://cowles.yale.edu/sites/default/files/files/pub/d12/d1285.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charles BLACKORBY & David DONALDSON & John A. WEYMARK, 1990. "A Welfarist Proof of Arrow's Theorem," Discussion Papers (REL - Recherches Economiques de Louvain) 1990031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    2. Saari, Donald G., 1991. "Calculus and extensions of Arrow's theorem," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 271-306.
    3. Balasko, Yves & Cres, Herve, 1997. "The Probability of Condorcet Cycles and Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 237-270, August.
    4. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    5. Partha Dasgupta & Eric Maskin, 2008. "On The Robustness of Majority Rule," Journal of the European Economic Association, MIT Press, vol. 6(5), pages 949-973, September.
    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. repec:eee:mateco:v:70:y:2017:i:c:p:1-28 is not listed on IDEAS
    2. 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.
    3. McMorris, F.R. & Powers, R.C., 2013. "Majority decision on median semilattices," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 48-51.
    4. Laurent Bartholdi & Wade Hann-Caruthers & Maya Josyula & Omer Tamuz & Leeat Yariv, 2018. "Equitable voting rules," Papers 1811.01227, arXiv.org, revised Feb 2019.
    5. Núñez Matias & Valleta Giacomo, 2012. "The information simplicity of scoring rules," Research Memorandum 011, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Martinet, Vincent, 2011. "A characterization of sustainability with indicators," Journal of Environmental Economics and Management, Elsevier, vol. 61(2), pages 183-197, March.
    7. Bartholdi, Laurent & Hann-Caruthers, Wade & Josyula, Maya & Tamuz, Omer & Yariv, Leeat, 2018. "Equitable Voting Rules," CEPR Discussion Papers 13316, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Graphical analysis; cube; impossibility theorem; majority rule; anonymity; IIA;

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:cwl:cwldpp:1285. 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: (Matthew Regan). General contact details of provider: http://edirc.repec.org/data/cowleus.html .

    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.