Deepest Voting: a new way of electing - Archive ouverte HAL Access content directly
Journal Articles Mathematical Social Sciences Year : 2022

Deepest Voting: a new way of electing

Abstract

This article aims to present a unified framework for grading-based voting processes. The idea is to represent the grades of each voter on d candidates as a point in R^d and to define the winner of the vote using the deepest point of the scatter plot. The deepest point is obtained by the maximization of a depth function. Universality, unanimity, and neutrality properties are proved to be satisfied. Monotonicity and Independence to Irrelevant Alternatives are also studied. It is shown that usual voting processes correspond to specific choices of depth functions. Finally, some basic paradoxes are explored for these voting processes.
Fichier principal
Vignette du fichier
DepthVoting.pdf (697.95 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

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

Identifiers

Cite

Jean-Baptiste Aubin, Irène Gannaz, Samuela Leoni-Aubin, Antoine Rolland. Deepest Voting: a new way of electing. Mathematical Social Sciences, 2022, 116, pp.1-16. ⟨10.1016/j.mathsocsci.2021.12.006⟩. ⟨hal-03192793v2⟩
276 View
118 Download

Altmetric

Share

Gmail Facebook X LinkedIn More