A Note on Data Simulations for Voting by Evaluation

Antoine Rolland (1) , Jean-Baptiste Aubin (2) , Irène Gannaz (3) , Samuela Leoni (2)

1 ERIC - Entrepôts, Représentation et Ingénierie des Connaissances
2 PSPM - Probabilités, statistique, physique mathématique
3 G-SCOP - Laboratoire des sciences pour la conception, l'optimisation et la production

Traditionally, probabilistic analysis of voting rules supposes the use of simulation models to generate preferences data, like the Impartial Culture (IC) or Impartial and Anonymous Culture (IAC) models.Voting rules based on evaluation inputs rather than preference orders have been recently proposed, like majority judgement, range voting or approval voting. Traditionally, probabilistic analysis of voting rules supposes the use of simulation models to generate preferences data, like the Impartial Culture (IC) or Impartial and Anonymous Culture (IAC) models. But these simulation models are not suitable for the analysis of evaluation-based voting rules as they generate preference orders instead of the needed evaluations. We propose in this paper several simulation models for generating evaluation-based voting inputs. These models, inspired by classical ones, are defined, tested and compared for recommendation purpose.

Keywords: voting rules; Evaluation based voting rules; Simulation; IC model

Domains: Statistics [math.ST]

Antoine Rolland, Jean-Baptiste Aubin, Irène Gannaz, Samuela Leoni. A Note on Data Simulations for Voting by Evaluation. 2022. ⟨hal-03194218v2⟩