Frequency Based Analysis of Voting Rules

Swarnendu Chatterjee, Ton Storcken

Research output: Working paperProfessional

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Abstract

In a large electorate it is natural to consider voters’ preference profiles as frequency distributions over the set of all possible preferences. We assume coherence in voters’ preferences resulting in accumulation of voters preferences. We show that such distributions can be studied via superpositions of simpler so called unimodal distributions. At these, it is shown that all well-known rules choose the mode as the outcome. We provide a set of sufficient conditions for a rule to have this trait of choosing the mode under unimodal distributions. Further we show that Condorcet consistent rules, Borda rule, plurality rule are robust under tail-perturbations of unimodal distributions.
Original languageEnglish
PublisherMaastricht University, Graduate School of Business and Economics
Publication statusPublished - 23 Mar 2017

Publication series

SeriesGSBE Research Memoranda
Number006

JEL classifications

  • d71 - "Social Choice; Clubs; Committees; Associations"
  • d72 - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

Keywords

  • voting
  • Unimodal distribution
  • Condercet consistent rule
  • Borda rule
  • Plurality rule

Cite this

Chatterjee, S., & Storcken, T. (2017). Frequency Based Analysis of Voting Rules. Maastricht University, Graduate School of Business and Economics. GSBE Research Memoranda, No. 006