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Extensions of the Young and Levenglick result about the inconsistency of Condorcet voting correspondences

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  • Jimeno, José L.
  • García, Estefanía
  • Pérez, Joaquín

Abstract

The Young's Consistency property means that when some candidates are chosen as winners by two disjoint electorates, those and only those candidates are chosen in the aggregated electorate. We define two new properties requiring that, when a candidate x is elected in a situation and a new electorate is added for which x is a very good candidate, x will remain elected. These properties, weaker than Young's Consistency, lead to new impossibility results strengthening the Young and Levenglick result about the inconsistency of Condorcet Voting Correspondences. Also we adapt the Young and Levenglick result to the k-choice voting function context.

Suggested Citation

  • Jimeno, José L. & García, Estefanía & Pérez, Joaquín, 2011. "Extensions of the Young and Levenglick result about the inconsistency of Condorcet voting correspondences," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 25-27, July.
    • Handle: RePEc:eee:matsoc:v:62:y:2011:i:1:p:25-27
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    References listed on IDEAS

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    1. Gehrlein, William V., 1985. "The Condorcet criterion and committee selection," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 199-209, December.
    2. Joaqui´n Pérez, 2001. "The Strong No Show Paradoxes are a common flaw in Condorcet voting correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 601-616.
    3. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
    4. José Jimeno & Joaquín Pérez & Estefanía García, 2009. "An extension of the Moulin No Show Paradox for voting correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 343-359, September.
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