’ Aide à la Décision UMR 7243 201 M CAHIER DU 3 7

Modélisation de Systèmes pour d ’ Aide à la Décision UMR 7243 Juin 201 4 Preferences in Artificial Intelligence

Laboratoire d ’ Analyse et Modélisation de Systèmes pour d ’ Aide à la Décision UMR 7243 Juin 201 4 Preferences in Artificial

Laboratoire d ’ Analyse et Modélisation de Systèmes pour d ’ Aide à la Décision UMR 7243

de Systèmes pour l ’ Aide à la Décision UMR 7243 201 M CAHIER DU 3 7

The validity of majority rule in an election with but two candidates— and so also of Condorcet consistency—is challenged. Axioms based on evaluating candidates—paralleling those of K. O. May characterizing majority rule for two candidates based on comparing candidates—lead to another method, majority judgment, that is unique in agreeing with the majority rule on pairs of “polarized” candidates....

Laboratoire d ’ Analyse et Modélisation de Systèmes pour l ’ Aide à la Décision UMR 7243 201 5 On social rankings and their properties

Several real-life complex systems, like human societies or economic networks, are formed by interacting units characterized by patterns of relationships that may generate a group-based social hierarchy. In this paper, we address the problem of how to rank the individuals with respect to their ability to “influence” the relative strength of groups in a society. We also analyse the effect of basi...