Template-type: ReDif-Paper 1.0
Author-Name: Chatterjee, Swarnendu
Author-workplace-name: QE Math. Economics & Game Theory, RS: GSBE ETBC
Author-Name: Storcken, Ton
Author-workplace-name: QE Math. Economics & Game Theory, RS: GSBE ETBC
Title: Frequency Based Analysis of Voting Rules
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.
Classification-JEL: d71,d72
Series: GSBE Research Memoranda
Creation-Date: 20170323
Number: 006
File-URL: https://cris.maastrichtuniversity.nl/ws/files/11608715/RM17006.pdf
File-Format: application/pdf
File-Size: 371176
Handle: Repec:unm:umagsb:2017006
DOI: 10.26481/umagsb.2017006