Quaternary dichotomous voting rules |
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Authors: | Annick Laruelle Federico Valenciano |
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Institution: | 1.Departamento de Fundamentos del Análisis Económico I,Universidad del País Vasco,Bilbao,Spain;2.IKERBASQUE, Basque Foundation of Science,Bilbao,Spain;3.Departamento de Economía Aplicada IV,Universidad del País Vasco,Bilbao,Spain |
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Abstract: | In this article, we provide a general model of “quaternary” dichotomous voting rules (QVRs), namely, voting rules for making
collective dichotomous decisions (to accept or reject a proposal), based on vote profiles in which four options are available
to each voter: voting (“yes”, “no”, or “abstaining”) or staying home and not turning out. The model covers most of actual
real-world dichotomus rules, where quorums are often required, and some of the extensions considered in the literature. In
particular, we address and solve the question of the representability of QVRs by means of weighted rules and extend the notion
of “dimension” of a rule. |
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Keywords: | |
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