Egalitarian Collective Decision Making under Qualitative Possibilistic Uncertainty: Principles and Characterization

Nahla Ben Amor (1) , Fatma Essghaier (1) , Hélène Fargier (2, 3)

1 LARODEC - Laboratoire de Recherche Opérationnelle de Décision et de Contrôle de Processus
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
3 CNRS - Centre National de la Recherche Scientifique

This paper raises the question of collective decision making under possibilistic uncertainty; We study four egalitarian decision rules and show that in the context of a possibilistic representation of uncertainty, the use of an egalitarian collective utility function allows to get rid of the Timing Effect. Making a step further, we prove that if both the agents’ preferences and the collective ranking of the decisions satisfy Dubois and Prade’s axioms (1995), and particularly risk aversion, and Pareto Unanimity, then the egalitarian collective aggregation is compulsory. This result can be seen as an ordinal counterpart of Harsanyi’s theorem (1955).

Mots clés: Timing Effect; Decision under Uncertainty; Possibility Theory; Collective Choice; Egalitarianism

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Nahla Ben Amor, Fatma Essghaier, Hélène Fargier. Egalitarian Collective Decision Making under Qualitative Possibilistic Uncertainty: Principles and Characterization. 29th AAAI Conference on Artificial Intelligence (AAAI 2015), Jan 2015, Austin, TX, United States. pp.3482-3488. ⟨hal-01302357⟩