A geometric examination of majorities based on difference in support
type: Dataset
description: Reciprocal preferences have been introduced in the literature of social choice theory in order to deal with preference intensities. They allow individuals to show preference intensities in the unit interval among each pair of options. In this framework, majority based on difference in support can be used as a method of aggregation of individual preferences into a collective preference: option a is preferred to option b if the sum of the intensities for a exceeds the aggregated intensity of b in a threshold given by a real number located between 0 and the total number of voters. Based on a three dimensional geometric approach, we provide a geometric analysis of the non transitivity of the collective preference relations obtained by majority rule based on difference in support. This aspect is studied by assuming that each individual reciprocal preference satisfies a g-stochastic transitivity property, which is stronger than the usual notion of transitivity
landing page: https://shs.hal.science/halshs-00993015
keyword: difference-in-support
keyword: geometric-voting
keyword: infoeu-reposemanticspreprint
keyword: jel-d---microeconomicsdd7---analysis-of-collective-decision-makingdd7d72---political-processes
keyword: preprints-working-papers-
keyword: reciprocal-preferences
keyword: shsecohumanities-and-social-scienceseconomics-and-finance
keyword: stochastic-transitivity
issued: 2026-05-05T10:53:18.969236
modified: 2026-05-05T10:53:18.969241
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

A geometric examination of majorities based on difference in support
type: Distribution
format: HTML
access URL: https://shs.hal.science/halshs-00993015
issued: 2026-05-05T10:53:18.977545
modified: 2026-05-05T10:53:18.957088