Consistent collective decisions under majorities based on difference of votes

Mostapha Diss and Patrizia Pérez-Asurmendi ()

No 1533, Working Papers from Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon

Abstract: The main criticism to the aggregation of individual preferences under majority rules refers to the possibility of reaching inconsistent collective decisions from the election process. In these cases, the collective preference includes cycles and even could prevent the election of any alternative as the collective choice. The likelihood of consistent outcomes under a class of majority rules constitutes the aim of this paper. Specifically, we focus on majority rules that require certain consensus in individual preferences to declare an alternative as the winner. Under majorities based on difference of votes, the requirement asks to the winner alternative to obtain a difference in votes with respect to the loser alternative taking into account that individuals are endowed with weak preference orderings. Same requirement is asked to the restriction of these rules to individual linear preferences.

Keywords: Majorities based on difference of votes; Probability; Transitivity; Triple-acyclicity. (search for similar items in EconPapers)
JEL-codes: D70 D71 (search for similar items in EconPapers)
Date: 2015
New Economics Papers: this item is included in nep-cdm, nep-mic and nep-pol
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Working Paper: Consistent collective decisions under majorities based on difference of votes (2016)
Working Paper: Consistent collective decisions under majorities based on difference of votes (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:gat:wpaper:1533

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