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A Graphical Analysis of Some Basic Results in Social Choice

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Author Info
Estelle Cantillon (Cowles Foundation, Yale University)
Antonio Rangel (Stanford, NBER, Instituto de Analisis Economico)

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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.

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File URL: http://cowles.econ.yale.edu/P/cd/d12b/d1285.pdf
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Publisher Info
Paper provided by Cowles Foundation, 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:
Handle: RePEc:cwl:cwldpp:1285

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Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
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Web page: http://cowles.econ.yale.edu/
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Graphical analysis; cube; impossibility theorem; majority rule; anonymity; IIA;

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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References listed on IDEAS
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  1. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December. [Downloadable!] (restricted)
  2. Blackorby, C. & Donaldson, D. & Weymark, J.A., 1990. "A Welfarist Proof Of Arrow'S Theorem," UBC Departmental Archives 90-16, UBC Department of Economics.
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  3. Saari, Donald G., 1991. "Calculus and extensions of Arrow's theorem," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 271-306. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
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