[Séminaire Caen] Simple Monotonicity: A Microscopic Analysis, UFR SEGGAT – MRSH, Caen

[Séminaire Caen] Simple Monotonicity: A Microscopic Analysis Lundi 9 mars, 14h15 UFR SEGGAT – MRSH Calvados

Salle MRSH 126, UFR SEGGAT

Dates et horaires de début et de fin (année – mois – jour – heure) :
Début : 2026-03-09T14:15:00+01:00 – 2026-03-09T15:45:00+01:00
Fin : 2026-03-09T14:15:00+01:00 – 2026-03-09T15:45:00+01:00

Abstract:
Monotonicity is one of the basic and critical axioms in the literature. Suppose that x is chosen by a voting rule F at some preference profile and x is improved with respect to other alternatives by some voter, while all other things remain as the same. In a broad sense, the monotonicity axiom requires that the alternative x is chosen after this improvement. In this study, we address the monotonicity axiom in more details. First, we define three versions of monotonicity M1, M2, M3, based whether x is uniquely chosen (M1), whether the set of alternatives chosen is a subset of previous choice set (M2) or not (M3). Next, we specify a rate  indicating how much an alternative is improved. For each version, we propose a more refined definition of these monotonicities based on this rate, denoting - monotonicity. For instance, the plurality rule satisfies M2 monotonicity for any  , but M1 monotonicity if and only if =1. Our aim is to study and classify several voting rules employing - monotonicity.
(joint with Ali Özkes and Remzi Sanver)

UFR SEGGAT – MRSH Université de Caen Normandie Caen 14000 Calvados Normandie [{« type »: « email », « value »: « vincent.merlin@unicaen.fr »}]
Présentation de Ipek Ozkal Sanver, Istanbul Bilgi Univesity recherche économie

CREM