Another perspective on Borda's paradox

Mostapha Diss (1) , Abdelmonaim Tlidi (2)

1 GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne
2 ENSA Marrakech - École nationale des sciences appliquées de Marrakech

This paper presents the conditions required for a profile in order to never exhibit either the strong or the strict Borda paradoxes under all weighted scoring rules in three-candidate elections. The main particularity of our paper is that all the conclusions are extracted from the differences of votes between candidates in pairwise majority elections. This way allows us to answer new questions and provide an organized knowledge of the conditions under which a given profile never shows one of the two paradoxes. Abstract This paper presents the conditions required for a profile in order to never exhibit either the strong or the strict Borda paradoxes under all weighted scoring rules in three-candidate elections. The main particularity of our paper is that all the conclusions are extracted from the differences of votes between candidates in pairwise majority elections. This way allows us to answer new questions and provide an organized knowledge of the conditions under which a given profile never shows one of the two paradoxes.

Mots clés: Voting; Geometry; Borda's Paradox; Condorcet Pairwise Procedure; Borda; Plurality; Negative Plurality; Weighted Scoring Rules

Domaines: Economies et finances

Mostapha Diss, Abdelmonaim Tlidi. Another perspective on Borda's paradox. 2016. ⟨halshs-01402268⟩