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A Graphical Analysis of Some Basic Results in Social Choice

  • Estelle Cantillon

    (Cowles Foundation, Yale University)

  • Antonio Rangel

    (Stanford, NBER, Instituto de Analisis Economico)

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.

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File URL: http://cowles.econ.yale.edu/P/cd/d12b/d1285.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1285.

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Length: 23 pages
Date of creation: Nov 2000
Date of revision:
Publication status: Published in Social Choice and Welfare (2002), 19: 587-611
Handle: RePEc:cwl:cwldpp:1285
Contact details of provider: Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

References listed on IDEAS
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  1. 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, 09.
  2. 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).
  3. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
  4. Saari, Donald G., 1991. "Calculus and extensions of Arrow's theorem," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 271-306.
  5. 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.
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