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A Simple Characterization of Qualified Majority Voting Rules

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  • H'ector Hermida-Rivera

Abstract

This paper characterizes every qualified majority voting rule with a quota $q$ strictly greater than half of the voter set in environments with just two alternatives through anonymity, responsiveness, and $q$-neutrality. Crucially, the latter imposes independence of the labels of the alternatives only for all preference profiles in which some alternative is strictly top-ranked by at least $q$ voters. Thus, this paper generalizes May's (1952, Theorem, p. 682) characterization of the simple majority voting rule to qualified majority voting rules with a quota $q$ strictly greater than half of the voter set. In doing so, it shows that these qualified majority voting rules are distinguished by their degree of neutrality.

Suggested Citation

  • H'ector Hermida-Rivera, 2025. "A Simple Characterization of Qualified Majority Voting Rules," Papers 2509.19823, arXiv.org, revised Oct 2025.
  • Handle: RePEc:arx:papers:2509.19823
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    File URL: http://arxiv.org/pdf/2509.19823
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