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Pré-Publication, Document De Travail Année : 2021

Deepest Voting: a new way of electing

Résumé

Classical approval voting processes suffer from well-known impossibility theorems. We consider grading-based voting, where voters give a grade rather than a preference to each candidate. Numerous voting processes have been proposed in this framework, such as majority judgment or range voting, showing interesting properties. This article aims to present a unified framework for grading-based voting processes. Our statement is that a voting process can be seen as the finding of the innermost point of a multivariate scatterplot. Introducing depth functions in voting theory enables to associate each voting process to a depth notion, and enlarges the scope of procedures. We focus on a given family of depth functions, the wL p depths, to highlight the behavior of the depth-based approach.
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Dates et versions

hal-03192793 , version 1 (08-04-2021)
hal-03192793 , version 2 (17-12-2021)

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Jean-Baptiste Aubin, Irène Gannaz, Samuela Leoni-Aubin. Deepest Voting: a new way of electing. 2021. ⟨hal-03192793v1⟩
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