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Consistent collective decisions under majorities based on differences

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  • Mostapha Diss

    () (Université de Lyon, Lyon, F-69007, France ; CNRS, GATE Lyon St Etienne,F-69130 Ecully, France, Université Jean Monnet, Saint-Etienne, F-42000, France)

  • Patrizia Pérez-Asurmendi

    () (Grupo de investigacion PRESAD, Universidad de Valladolid, Avda. Valle de Esgueva 6,47011, Valladolid, Spain & Grupo de investigacion SEED, Universidad Publica de Navarra, Campus de Arrosadia, 31006, Pamplona, Spain)

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 two classes 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. In the case of majorities based on difference of votes, such requirement asks to the winner alternative to obtain a difference in votes with respect to the loser alternative taken into account that individuals are endowed with weak preference orderings. Same requirement is asked to the restriction of these rules to individual linear preferences, whereas in the case of majorities based on difference in support, the requirement has to do with the difference in the sum of the intensities for the alternatives in contest.

Suggested Citation

  • Mostapha Diss & Patrizia Pérez-Asurmendi, 2014. "Consistent collective decisions under majorities based on differences," Working Papers 1402, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
  • Handle: RePEc:gat:wpaper:1402
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    Cited by:

    1. Mostapha Diss & Patrizia Pérez-Asurmendi, 2016. "Probabilities of Consistent Election Outcomes with Majorities Based on Difference in Support," Group Decision and Negotiation, Springer, vol. 25(5), pages 967-994, September.

    More about this item

    Keywords

    Majorities based on difference of votes; Majorities based on difference in support; Probability; Transitivity; Triple-acyclicity;

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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