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Journal Articles Mathematical Social Sciences Year : 2020

Multi-dimensional rules

Abstract

Highlights The decision structures aggregate the opinions of voters on several dimensions. Characterization of weighted multi-dimensional rules is provided. Some multi-dimensional rules are represented by a combination of single dimension rules. Links to the referendum paradox and the Ostrogorski paradox are made.AbstractThis paper deals with rules that specify the collective acceptance or rejection of a proposal with several dimensions. We introduce the notions of separability and weightedness in this context. We provide a partial characterization of separable rules and show the independence between separability and weightedness.
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hal-02351433 , version 1 (20-07-2022)

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Sebastien Courtin, Annick Laruelle. Multi-dimensional rules. Mathematical Social Sciences, 2020, 103, pp.1-7. ⟨10.1016/j.mathsocsci.2019.10.001⟩. ⟨hal-02351433⟩
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